Publications of E. Langmann, until April 2013


Papers 1-57 obtained from   http://arXiv.org/

Papers 64-72 are only available in journals.

1. arXiv:1207.6783 [pdf, ps, other]
Fermions in two dimensions, bosonization, and exactly solvable models
Comments: 21 pages, 2 figures, invited review
Subjects: Mathematical Physics (math-ph); Strongly Correlated Electrons (cond-mat.str-el)

2. arXiv:1202.3544 [pdf, ps, other]
Source identity and kernel functions for Inozemtsev-type systems
Comments: 24 pages, 1 figure
Subjects: Mathematical Physics (math-ph)

3. arXiv:1107.0891 [pdf, ps, other]
Gauge invariance, correlated fermions, and Meissner effect in 2+1 dimensions
Comments: 8 pages, 1 figure
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Mathematical Physics (math-ph)

4. arXiv:1103.3230 [pdf, ps, other]
Extrinsic curvature effects in brane-world scenarios
Comments: 24 pages; v2: typos corrected
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

5. arXiv:1011.1401 [pdf, ps, other]
Exact solution of a 2D interacting fermion model
Comments: 59 pages, 3 figures, v2: further references added; additional subsections elaborating mathematical details; additional appendix with details on the relation to lattice fermions
Subjects: Mathematical Physics (math-ph)

6. arXiv:1007.1629 [pdf, ps, other]
Loop groups and quantum fields
Comments: 39 pages, published in: Geometric Analysis and Applications to Quantum Field Theory (Progress in Mathematics Vol 205), P. Bouwknegt and S. Wu (Eds.), Birkhauser, Boston (2002), 45-94
Subjects: Mathematical Physics (math-ph)


7. arXiv:1003.0857 [pdf, ps, other]
Title: Source identity and kernel functions for elliptic Calogero-Sutherland type systems
Authors: Edwin Langmann
Comments: 12 pages
Subjects: Mathematical Physics (math-ph)

8. arXiv:0907.1277 [pdf, ps, other]
Title: Partially gapped fermions in 2D
Comments: 36 pages, 10 figures
Subjects: Mathematical Physics (math-ph)

9. arXiv:0903.0055 [pdf, ps, other]
Title: A 2D Luttinger model
Authors: Edwin Langmann
Comments: 36 pages, 3 figures; v2: minor corrections
Subjects: Mathematical Physics (math-ph)

10. arXiv:0805.0502 [pdf, ps, other]
Title: Fermi's golden rule and exponential decay as a RG fixed point
Comments: 20 pages, 1 figure
Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

11. arXiv:0710.5859 [pdf, ps, other]
Title: Non-commutative geometry and exactly solvable systems
Authors: Edwin Langmann
Comments: Contribution to the "International Conference on Noncommutative Geometry and Physics", April 2007, Orsay (France)
Journal-ref: J.Phys.Conf.Ser.103:012015,2008
Subjects: Mathematical Physics (math-ph)

12. arXiv:math-ph/0703090 [pdf, ps, other]
Title: A unified construction of generalised classical polynomials associated with operators of Calogero-Sutherland type
Subjects: Mathematical Physics (math-ph)

13. arXiv:math-ph/0702089 [pdf, ps, other]
Title: Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones
Authors: Edwin Langmann
Comments: This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at this http URL
Journal-ref: SIGMA 3 (2007), 031, 18 pages
Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

14. arXiv:math-ph/0606041 [pdf, ps, other]
Title: A two dimensional analogue of the Luttinger model
Authors: Edwin Langmann
Comments: v1: 9 pages, 1 figure v2: 10 pages, 1 figure; some change in notation and corrections; updated references
Subjects: Mathematical Physics (math-ph); Strongly Correlated Electrons (cond-mat.str-el)

15. arXiv:math-ph/0605077 [pdf, ps, other]
Title: Goldfishing by gauge theory
Comments: 22 pages
Journal-ref: J.Math.Phys.47:082702,2006
Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

16. arXiv:math-ph/0511040 [pdf, ps, other]
Title: Explicit formulas for the eigenfunctions of the N-body Calogero model
Journal-ref: J. Phys. A 39 (2006), 3511.
Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

17. arXiv:math-ph/0511015 [pdf, ps, other]
Title: A method to derive explicit formulas for an elliptic generalization of the Jack polynomials
Authors: Edwin Langmann
Comments: 14 pages, to appear in the proceedings of a workshop on "Jack, Hall-Littlewood and Macdonald polynomials", V.B. Kuznetsov and S. Sahi (eds.), Contemporary Mathematics, AMS
Subjects: Mathematical Physics (math-ph)

18. arXiv:math-ph/0510046 [pdf, ps, other]
Title: Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics
Comments: 17 pages, LaTex
Subjects: Mathematical Physics (math-ph)

19. arXiv:math-ph/0507029 [pdf, ps, other]
Title: Bosons and fermions in external fields
Authors: Edwin Langmann
Comments: To appear in the Encyclopedia of Mathematical Physics, Elsevier, 2006
Subjects: Mathematical Physics (math-ph)

20. arXiv:math-ph/0411081 [pdf, ps, other]
Title: Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system
Authors: Edwin Langmann
Comments: v2: minor corrections; references added. 18 pages, contribution to conference ``Non-commutative geometry and representation theory in mathematical physics'' in Karlstad (Sweden), 5-10 July 2004
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

21. arXiv:math-ph/0408043 [pdf, ps, other]
Title: Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles
Comments: 23 pages v2: references added
Journal-ref: J. Phys. A 38 (2005), 4957.
Subjects: Mathematical Physics (math-ph)

22. arXiv:math-ph/0407050 [pdf, ps, other]
Title: An explicit solution of the (quantum) elliptic Calogero-Sutherland model
Authors: Edwin Langmann
Comments: 16 pages, Contribution to SPT 2004 in Cala Gonone (Sardinia, Italy) v2 and v3: minor corrections
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

23. arXiv:cond-mat/0406608 [pdf, ps, other]
Title: Phase diagrams of the 2D t-t'-U Hubbard model from an extended mean field method
Comments: 6 pages, 5 figures
Subjects: Strongly Correlated Electrons (cond-mat.str-el)

24. arXiv:math-ph/0406061 [pdf, ps, other]
Title: Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model
Authors: Edwin Langmann
Comments: 21 pages, v2: title changed, otherwise only minor corrections
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

25. arXiv:math-ph/0404023 [pdf, ps, other]
Title: Exact solutions of two complementary 1D quantum many-body systems on the half-line
Comments: 15 pages, a mistake corrected changing one of our conclusions
Journal-ref: J.Math.Phys. 46 (2005) 052101
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

26. arXiv:math-ph/0401029 [pdf, ps, other]
Title: Explicit solution of the (quantum) elliptic Calogero-Sutherland model
Authors: Edwin Langmann
Comments: v1: 17 pages. The solution is given as series in q but only to low order. v2: 30 pages. Results significantly extended. v3: 35 pages. Paper completely revised: the results of v1 and v2 are extended to all orders
Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

27. arXiv:math-ph/0401003 [pdf, ps, other]
Title: Exact solution of a 1D many-body system with momentum dependent interactions
Comments: 12 pages; mistake corrected changing one of our conclusions: the generalized model with distinguishable particles is not exactly solvable by Bethe Ansatz
Journal-ref: J.Phys.A37:4579,2004
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

28. arXiv:hep-th/0308043 [pdf, ps, other]
Title: Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
Comments: 70 pages AMSTeX
Journal-ref: JHEP 0401 (2004) 017
Subjects: High Energy Physics - Theory (hep-th)

29. arXiv:hep-th/0303082 [pdf, ps, other]
Title: Exact Solution of Noncommutative Field Theory in Background Magnetic Fields
Comments: 9 Pages AMSTeX; Typos corrected
Journal-ref: Phys.Lett. B569 (2003) 95-101
Subjects: High Energy Physics - Theory (hep-th)

30. arXiv:cond-mat/0206045 [pdf, ps, other]
Title: Exactly solvable models for 2D correlated fermions
Authors: Edwin Langmann
Comments: 19 pages; v2 substantially revised; further results added; v1 can be read as summary
Journal-ref: J.Phys.A37:407-424,2004
Subjects: Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

31. arXiv:hep-th/0205287 [pdf, ps, other]
Title: Interacting fermions on noncommutative spaces: Exactly solvable quantum field theories in 2n+1 dimensions
Authors: Edwin Langmann
Comments: 23 pages, LaTex
Journal-ref: Nucl.Phys. B654 (2003) 404-426
Subjects: High Energy Physics - Theory (hep-th)

32. arXiv:hep-th/0202039 [pdf, ps, other]
Title: Duality in Scalar Field Theory on Noncommutative Phase Spaces
Comments: 13 pages LaTeX; Minor corrections, references added, comment about self-dual models added to section 4
Journal-ref: Phys.Lett.B533:168-177,2002
Subjects: High Energy Physics - Theory (hep-th); Condensed Matter (cond-mat); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph); Functional Analysis (math.FA)

33. arXiv:hep-th/0105094 [pdf, ps, other]
Title: Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory
Comments: 31 pages LaTeX; References added
Journal-ref: Phys.Rev. D64 (2001) 104019
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)

34. arXiv:math-ph/0104039 [pdf, ps, other]
Title: Algorithms to solve the Sutherland model
Authors: Edwin Langmann
Comments: 15 pages, LaTex
Journal-ref: J.Math.Phys.42 (2001) 4148-4157
Subjects: Mathematical Physics (math-ph); Dynamical Systems (math.DS)

35. arXiv:math-ph/0104011 [pdf, ps, other]
Title: Generalized Yang-Mills actions from Dirac operator determinants
Authors: Edwin Langmann
Comments: LaTex, 26 pages
Journal-ref: J.Math.Phys. 42 (2001) 5238-5256
Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA)

36. arXiv:hep-th/0103006 [pdf, ps, other]
Title: Anomalies and Schwinger terms in NCG field theory models
Comments: 30 pages
Journal-ref: J.Math.Phys. 42 (2001) 4779-4801
Subjects: High Energy Physics - Theory (hep-th)

37. arXiv:math-ph/0102005 [pdf, ps, other]
Title: Second quantization of the elliptic Calogero-Sutherland model
Authors: Edwin Langmann
Comments: 36 pages
Journal-ref: Commun.Math.Phys. 247 (2004) 321-351
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

38. arXiv:math-ph/0007036 [pdf, ps, other]
Title: Anyons and the elliptic Calogero-Sutherland model
Authors: Edwin Langmann
Comments: 13 pages; title changed; details added and some notational changes
Journal-ref: Lett.Math.Phys. 54 (2000) 279-289
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Exactly Solvable and Integrable Systems (nlin.SI)

39. arXiv:hep-th/0004176 [pdf, ps, other]
Title: Chiral Schwinger models without gauge anomalies
Comments: 18 pages
Journal-ref: Nucl.Phys. B587 (2000) 568-584
Subjects: High Energy Physics - Theory (hep-th)

40. arXiv:math-ph/9909019 [pdf, ps, other]
Title: Finding and solving Calogero-Moser type systems using Yang-Mills gauge theories
Comments: 33 pages, no figures, to appear in Nucl. Phys. B
Journal-ref: Nucl.Phys. B563 (1999) 506-532
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Dynamical Systems (math.DS); Exactly Solvable and Integrable Systems (nlin.SI)

41. arXiv:hep-th/9905147 [pdf, ps, other]
Title: Towards a string representation of infrared SU(2) Yang-Mills theory
Comments: 4 pages, no figure, RevTex
Journal-ref: Phys.Lett.B463:252-256,1999
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)

42. arXiv:math-ph/9805010 [pdf, ps, other]
Title: Loop groups, anyons and the Calogero-Sutherland model
Comments: 34 pages, Latex
Journal-ref: Commun.Math.Phys.201:1-34,1999
Subjects: Mathematical Physics (math-ph); Condensed Matter (cond-mat); Operator Algebras (math.OA); Exactly Solvable and Integrable Systems (nlin.SI)

43. arXiv:solv-int/9804007 [pdf, ps, other]
Title: Novel integrable spin-particle models from gauge theories on a cylinder
Comments: 12 pages, LaTex
Journal-ref: Phys. Lett. B, 429 (1998) 336-342
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); High Energy Physics - Theory (hep-th)

44. arXiv:hep-th/9612177 [pdf, ps, other]
Title: Vacuum Polarization Renormalization and the Geometric Phase
Comments: 5 pages in AMSTEX format. This is a talk given by Jouko Mickelsson at "XXI. Colloquium on Group Theoretical Methods in Physics" in Goslar, July 1996
Subjects: High Energy Physics - Theory (hep-th)

45. arXiv:cond-mat/9610030 [pdf, ps, other]
Title: Mean field approach to antiferromagnetic domains in the doped Hubbard model
Authors: Edwin Langmann, Mats Wallin (KTH, Stockholm, Sweden)
Comments: 14 pages RevTex, 6 postscript figures included using epsf
Subjects: Strongly Correlated Electrons (cond-mat.str-el)

46. arXiv:cond-mat/9610018 [pdf, ps, other]
Title: Mean field analysis of a model for superconductivity in an antiferromagnetic background
Comments: 26 pages, 9 ps figures included via epsf. Published version
Journal-ref: Physica C 296, 119-136 (1998)
Subjects: Superconductivity (cond-mat.supr-con)

47. arXiv:hep-th/9609206 [pdf, ps, other]
Title: The Luttinger-Schwinger Model
Comments: 19 pages, Latex, to appear in Annals of Physics, download problems fixed
Journal-ref: Annals Phys. 253 (1997) 310-331
Subjects: High Energy Physics - Theory (hep-th)

48. arXiv:hep-th/9608003 [pdf, ps, other]
Title: Quantum Gauge Theories and Noncommutative Geometry
Authors: Edwin Langmann (Theoretical Physics, KTH, Stockholm)
Comments: 16 pages, latex, no figures
Journal-ref: Acta Phys.Polon. B27 (1996) 2477-2496
Subjects: High Energy Physics - Theory (hep-th)
49. arXiv:hep-th/9509034 [pdf, ps, other]
Title: Scattering matrix in external field problems
Comments: AmsTex file (uses amstex.tex and amsppt.sty) 22 ouput pages
Journal-ref: J.Math.Phys. 37 (1996) 3933-3953
Subjects: High Energy Physics - Theory (hep-th)

50. arXiv:hep-th/9508003 [pdf, ps, other]
Title: Descent equations of Yang--Mills anomalies in noncommutative geometry
Authors: Edwin Langmann (Theoretical Physics, KTH, Stockholm)
Comments: 20 pages, latex, no figures (A few minor errors corrected)
Journal-ref: J.Geom.Phys. 22 (1997) 259-279
Subjects: High Energy Physics - Theory (hep-th)

51. arXiv:hep-th/9507088 [pdf, ps, other]
Title: On anomalies and noncommutative geometry
Authors: Edwin Langmann (Theoretical Physics, KTH, Stockholm)
Comments: 6 pages, latex, no figures. Proceedings of ``34. Internationale Universit\"atswochen f\"ur Kern- und Teilchenphysik Schladming'', Schladming March 1995, Springer Verlag (to appear)
Subjects: High Energy Physics - Theory (hep-th)

52. arXiv:hep-th/9501092 [pdf, ps, other]
Title: Non--commutative Integration Calculus
Authors: Edwin Langmann
Comments: 16 pages, latex
Journal-ref: J.Math.Phys. 36 (1995) 3822-3835
Subjects: High Energy Physics - Theory (hep-th)

53. arXiv:hep-th/9412129 [pdf, ps, other]
Title: Elementary Derivation of the Chiral Anomaly
Comments: Minor errors and misprints corrected, a reference added. AmsTex file, 12 output pages. If you do not have preloaded AmsTex you have to \input amstex.tex
Journal-ref: Lett. Math. Phys. 36 (1996) 45
Subjects: High Energy Physics - Theory (hep-th)

54. arXiv:hep-th/9407193 [pdf, ps, other]
Title: (3+1)-Dimensional Schwinger Terms and Non-commutative Geometry
Comments: 13 pages
Journal-ref: Phys.Lett. B338 (1994) 241-248
Subjects: High Energy Physics - Theory (hep-th)

55. arXiv:hep-th/9404159 [pdf, ps, other]
Title: QCD(1+1) with massless quarks and gauge covariant Sugawara construction
Comments: 11 pages, ESI 110 Minor changes (including title); version to appear in Phys. Lett. B
Journal-ref: Phys.Lett. B341 (1994) 195-204
Subjects: High Energy Physics - Theory (hep-th)

56. arXiv:hep-th/9308115 [pdf, ps, other]
Title: Consistent axial--like gauge fixing on hypertori
Comments: 12 pages, UBCTP 93-13, LA-UR-93-2991
Journal-ref: Mod. Phys. Lett. A9 (1994) 2913-2926
Subjects: High Energy Physics - Theory (hep-th)

57. arXiv:cond-mat/9306004 [pdf, ps, other]
Title: The Superfluidity and Experimental Properties of Odd-Energy-Gap Superconductors
Comments: LaTeX, 13pp plus 6 PS figures included in PSBOX format UBCTP CM1-1993
Subjects: Condensed Matter (cond-mat)

58. arXiv:hep-th/9305014 [pdf, ps, other]
Title: Cocycles for Boson and Fermion Bogoliubov Transformations
Authors: Edwin Langmann
Comments: 23 pages, UBC preprint (August 92)
Journal-ref: J.Math.Phys. 35 (1994) 96-112
Subjects: High Energy Physics - Theory (hep-th)

59. arXiv:hep-th/9304114 [pdf, ps, other]
Title: Fermion Current Algebras and Schwinger Terms in 3+1 Dimensions
Authors: Edwin Langmann
Comments: 42 pages, UBC 91-32 (revised version, original Jan. 92)
Journal-ref: Commun.Math.Phys. 162 (1994) 1-32
Subjects: High Energy Physics - Theory (hep-th)

60. arXiv:cond-mat/9302016 [pdf, ps, other]
Title: SU(N) Antiferromagnets and Strongly Coupled QED: Effective Field Theory for Josephson Junctions Arrays
Comments: 33 pages,latex,Proceedings of "Common Trends in Condensed Matter and High Energy Physics",DFUPG 1/93
Journal-ref: Nucl.Phys.Proc.Suppl. 33C (1993) 192-208
Subjects: Condensed Matter (cond-mat); High Energy Physics - Lattice (hep-lat)

61. arXiv:hep-lat/9301014 [pdf, ps, other]
Title: SU(N) Quantum Antiferromagnets and the Phase Structure of QED in the Strong Coupling Limit
Comments: latex, 45 pages, DFUPG 69/92
Journal-ref: Nucl.Phys. B406 (1993) 595-630
Subjects: High Energy Physics - Lattice (hep-lat); Condensed Matter (cond-mat); High Energy Physics - Theory (hep-th)
62. arXiv:hep-th/9212038 [pdf, ps, other]
Title: Gribov ambiguity and non-trivial vacuum structure of gauge theories on a cylinder
Comments: 13 pages, a few typos and signs corrected, reference added
Journal-ref: Phys.Lett. B303 (1993) 303-307
Subjects: High Energy Physics - Theory (hep-th)

63. arXiv:hep-th/9210011 [pdf, ps, other]
Title: Gauge Theories on a Cylinder
Journal-ref: Phys.Lett. B296 (1992) 117-120
Subjects: High Energy Physics - Theory (hep-th)
 
64. E. Langmann: Gauge theory approach towards an explicit solution of the (classical)
elliptic Calogero-Moser system, J. Nonlin. Math. Phys. 12, Suppl. 1, 423-439 (2005).

65.  H. Grosse and E. Langmann: Supersymmetry breaking and the
Jaynes-Cummings model, Phys. Lett. A 176 (1993) 307-312


66. H. Grosse and E. Langmann: On super current algebras and
super Schwinger terms, Lett. Math. Phys. 21 (1991) 69-76
 

67. H. Grosse and  E. Langmann: A super-version of quasi-free second
quantization. I. Charged particles,  Jour. Math. Phys. 33 (1992) 1032-1046
 

68. H.Grosse and E. Langmann: The geometric phase and the Schwinger term
in simple models, Int. Jour. of Mod. Phys. 21 (1992) 5045--5083
 

69. E. Langmann: Fermi surface harmonics in the theory of the upper
critical field, Phys. Rev. B 46 (1992) 9104-9115
 

70.  E. Langmann: On the upper critical magnetic field of
anisotropic superconductors, Physica C 173 (1991) 347--356
 

71. E. Langmann: Theory of the upper critical magnetic field without local
approximation, Physica C 159 (1989) 561-569
 

72. W. Pint, E. Langmann, E. Schacinger: Critical temperature of superconductors with a cylinder
symmetric Fermi surface, Physica C 157 (1989) 415--424