Publications of Edwin Langmann since 1994


M. Hallnäs and E. Langmann:  Quantum Calogero-Sutherland type models and generalised classical polynomials.  arXiv:math-ph/0703090

E. Langmann: Singular eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular ones, SIGMA 3 (2007), 031 (18 pages)

E. Langmann: A partially solvable low energy effective model for 2D spin-less lattice fermions generalizing the Luttinger model to two dimensions.  arXiv:math-ph/0606041

E. Langmann and M. Wallin: Mean Field Magnetic Phase Diagrams for the Two Dimensional t-t '-U Hubbard Model, J. Stat. Phys. (2007) (published online and in print)

F. Calogero and E. Langmann: Goldfishing by gauge theory, J.Math.Phys. 47 (2006) 082702 (23 pages)

M. Hallnäs and E. Langmann: Explicit formulas for the eigenfunctions of the N-body Calogero model, J. Phys. A 39 (2006) 3511-3533.

E. Langmann: A method to derive explicit formulas for an elliptic generalization of the Jack polynomials, in: ``Jack, Hall-Littlewood and Macdonald polynomials'', V.B. Kuznetsov and S. Sahi (eds.), Contemporary Mathematics 417, American Mathematical Society (2006) 257-270.

E. Langmann, A. Laptev and C. Paufler: Singular factorizations, self-adjoint extensions, and applications to quantum many-body physics, J. Phys. A 39 (2006) 1057-1071

E. Langmann: Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model,  J. Math. Phys. 47  (2006) 022101 (18 pages)

E. Langmann: Bosons and fermions in external fields, in: Encyclopedia of Mathematical Physics, eds. J.-P. Françoise, G.L. Naber and Tsou S.T.  Oxford: Elsevier, 2006, volume v, p.318-326

E. Langmann: Gauge theory approach towards an explicit solution of the (classical) elliptic Calogero-Moser system, J. Nonlin. Math. Phys. 12, Suppl. 1  (2005) 423-439

E. Langmann: Conformal field theory and the solution of the (quantum) elliptic Calogero-Sutherland system,  in: ``Noncommutative Geometry and Representation Theory in Mathematical Physics'', J. Fuchs et. al. (eds), Contemporary Mathematics 391, American Mathematical Society (2005) 223-240

M. Hallnäs, E. Langmann, C. Paufler,  Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles,  J. Phys. A 38 (2005) 4957-4974

E. Langmann: An explicit solution of the (quantum) elliptic Calogero-Sutherland model, in: ``Symmetry and Perturbation Theory (SPT04)'', Ed.: G. Gaeta et.al., World Scientific (2005) 159-174

M. Hallnäs, E. Langmann: Exact solutions of two complementary 1D quantum many-body systems on the half-line, J. Math. Phys. 46 (2005) 052101 (15 pages)

E. Langmann: An algorithm to solve the elliptic Calogero-Sutherland model, arXiv:math-ph/0401029v2

H. Grosse, E. Langmann, C. Paufler: Exact solution of a 1D many-body system with momentum dependent interactions, J. Phys. A: Math. Gen. 37 (2004) 4579-4592

E. Langmann, R.J. Szabo, K. Zarembo: Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces, JHEP 01 (2004) 017 (1-63)

E. Langmann: Exactly solvable models for 2D correlated fermions, J.Phys. A37  (2004) 407-424

E. Langmann: NC geometry and quantum fields: simple examples, Lect.Notes Phys. 596 (2002) 278-298

E. Langmann, R.J. Szabo, K. Zarembo: Exact Solution of Noncommutative Field Theory in Background Magnetic Fields, Phys.Lett. B569 (2003) 95-101

E. Langmann: Interacting fermions on noncommutative spaces: Exactly solvable quantum field theories in 2n+1 dimensions, Nucl.Phys. B654 (2003) 404-426

A.L. Carey and E. Langmann: Loop groups and quantum fields, in: Geometric analysis and applications to quantum field theory, P. Bouwknegt and Siye Wu (Eds.) Birkhäuser (2002) p. 45-94

E. Langmann, R. J. Szabo: Duality in Scalar Field Theory on Noncommutative Phase Spaces, Phys.Lett. B533  (2002) 168-177

E. Langmann and R.J. Szabo: Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory,  Phys. Rev. D  64  (2001) 104019 (1-15)

E. Langmann: Generalized Yang-Mills actions from Dirac operator determinants,  J. Math. Phys. 42 (2001) 5238-5256

E. Langmann: Algorithms to solve the quantum Sutherland model,   J. Math. Phys. 42 (2001) 4148-4157

E. Langmann, J. Mickelsson, S. Rydh: Anomalies and Schwinger terms in NCG field theory models,  J. Math. Phys. 42 (2001) 4779-4801

E. Langmann: Second quantization of the elliptic Calogero-Sutherland model,  Comm. Math. Phys.  247 (2004) 321-351

E. Langmann: Anyones and the elliptic Calogero-Sutherland model,  Lett. Math. Phys. 54 (2000)  279-289

 E. Langmann: Quantum field theory models for Fermion systems: Topics between Physics and Mathematics,  in: ``Geometric Methods for Quantum Field
Theory'', H. Ocampo, S. Paycha, A. Reyes (Eds.), World Scientific, Singapore (2001) 170-237

H. Grosse and E. Langmann: Chiral Schwinger models without gauge anomalies, Nucl. Phys. B587 (2000) 568--584

J. Blom and E. Langmann: Finding and solving  Calogero-Moser type systems using Yang-Mills gauge theories,  Nucl. Phys. B  563 (1999) 506-532

E. Langmann and A.J. Niemi: Towards a string representation of infrared SU(2) Yang-Mills  theory,  Phys. Lett. B463 (1999) 252-256

C.L. Carey and E. Langmann: Loop groups, anyons, and the Calogero-Sutherland model',  Comm. Math. Phys. 201 (1999) 1-34

J. Blom and E. Langmann: Novel integrable spin-particle models from gauge theories on a cylinder', Phys. Lett. B 429 (1998) 336-342

E. Langmann, J. Lidmar, M. Salmhofer, and M. Wallin: A simple model for coexisting superconductivity and antiferromagnetism, Physica C 296, (1998) 119-136

E. Langmann and A.L. Carey: Loop groups, Luttinger model, Anyons, and Sutherland systems, International Workshop ``Mathematical Physics'' at the occasion of W. Thirring's 70th birthday, 12-17 May 1997, Kiev, Ukraine. In: Proceedings of International Workshop  ``Mathematical Physics'' in Kiev, Ukraine (May 1997), Ukrainian Jour. Phys. 6-7 vol.  43,  (1998) 817-827

E. Langmann and M. Wallin: Mean field approach to antiferromagnetic domains in the doped Hubbard model, Phys. Rev. B 55 (1997) 9439-9451

E. Langmann and M. Wallin: Restricted path integral approach to the doped Hubbard model, Europhys. Lett. 37 (1997) 219-224

H. Grosse, E. Langmann and E. Raschhofer: Introduction to Simple Integrable Models of Quantum Field Theory, in: ``Conformal Field Theories and Integrable Models'', Editors: Z. Horvath and L. Palla, Springer Lecture Notes in Physics 498 (1997), 126-150

E. Langmann: Descent equations for Yang-Mills anomalies in noncommutative geometry, Jour. of Geometry and Physics 22 (1997) 259-279

H. Grosse, E. Langmann and E. Raschhofer: On the Luttinger-Schwinger model, Annals of Phys. (N.Y.) 253 (1997) 310-331

E. Langmann and J. Mickelsson: Elementary derivation of Chern-Simons terms from effective fermion actions, in: ``GROUP21 Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras'', Vol. 2, Editors: H.-D. Doebner, W. Scherer, C. Schulte, World Scientific, Singapore (1997) 617-621

E. Langmann and J. Mickelsson: Vacuum polarization renormalization and the geometric phase, in: ``GROUP21 Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras'', Vol. 2, Editors: H.-D. Doebner, W. Scherer, C. Schulte, World Scientific, Singapore (1997) 666-670

E. Langmann: Quantum gauge theories and noncommutative geometry, in: Proc. of German-Polish Symposium ``New Ideas in the Theory of Fundamental Interactions'' (Zakopane, Poland, September 1995) Acta Phys. Pol. B 27 (1996) 2477-2496

E. Langmann and J. Mickelsson: Scattering matrix in external field problems, Jour. Math. Phys. 37 (1996) 3933-3953

E. Langmann and J. Mickelsson: Elementary derivation of the chiral anomaly, Lett. Math. Phys. 36 (1996) 45-54

E. Langmann, Noncommutative Integration Calculus: Jour. Math. Phys. 36 (1995) 3822-3835

A.L. Carey, H. Grundlig, C.A. Hurst, E. Langmann: Realizing 3-cocycles as obstructions, Jour. Math. Phys. 36 (1995) 2605-2620

E. Langmann and G.W. Semenoff: QCD(1+1) with massless quarks and gauge covariant Sugawara construction, Phys. Lett. B 341 (1994) 195-204

E. Langmann and J. Mickelsson: (3+1)-dimensional Schwinger terms and non-commutative geometry, Phys. Lett. B 338 (1994) 241-248

E. Langmann, M. Salmhofer and A. Kovner: Consistent axial-like gauge fixing on hypertori, Mod. Phys. Lett. A9 (1994) 2913--2926

E. Langmann: Fermion current algebras and Schwinger terms in (3+1)-dimensions, Comm. Math. Phys. 162 (1994) 1-32

E. Langmann: Cocycles for boson and fermion Bogoliubov transformations, Jour. Math. Phys. 35 (1994) 96-112

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