Sigma models on fiber bundles with a Grassmannian base space

Schubring, Daniel; Shifman, Mikhail

doi:10.1103/PhysRevD.101.045003

Title: Sigma models on fiber bundles with a Grassmannian base space

Journal Article · 06 February 2020 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.101.045003 · OSTI ID:1598081

Schubring, Daniel; Shifman, Mikhail

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0011842

OSTI ID:: 1598081

Journal Information:: Physical Review D, Journal Name: Physical Review D Journal Issue: 4 Vol. 101; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (20)

Quantum Non-linear Sigma-Models: From Quantum Field Theory to Supersymmetry, Conformal Field Theory, Black Holes and Strings Ketov, Sergei V. Theoretical and Mathematical Physics https://doi.org/10.1007/978-3-662-04192-5	book	September 2000
The axial vector current in beta decay Gell-Mann, M.; Lévy, M. Il Nuovo Cimento, Vol. 16, Issue 4 https://doi.org/10.1007/BF02859738	journal	May 1960
Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models Zamolodchikov, Alexander B.; Zamolodchikov, Alexey B. Annals of Physics, Vol. 120, Issue 2 https://doi.org/10.1016/0003-4916(79)90391-9	journal	August 1979
Two-dimensional sigma models: Modelling non-perturbative effects in quantum chromodynamics Novikov, V. A.; Shifman, M. A.; Vainshtein, A. I. Physics Reports, Vol. 116, Issue 3 https://doi.org/10.1016/0370-1573(84)90021-8	journal	December 1984
Interaction of goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields Polyakov, A. M. Physics Letters B, Vol. 59, Issue 1 https://doi.org/10.1016/0370-2693(75)90161-6	journal	October 1975
Theory of nonabelian goldstone bosons in two dimensions Polyakov, A.; Wiegmann, P. B. Physics Letters B, Vol. 131, Issue 1-3 https://doi.org/10.1016/0370-2693(83)91104-8	journal	November 1983
On the theory of nonabelian goldstone bosons in two dimensions; exact solution of the SU(N) ⊗ SU(N) nonlinear σ model Wiegmann, P. B. Physics Letters B, Vol. 141, Issue 3-4 https://doi.org/10.1016/0370-2693(84)90205-3	journal	June 1984
Exact factorized S-matrix of the chiral field in two dimensions Wiegmann, P. Physics Letters B, Vol. 142, Issue 3 https://doi.org/10.1016/0370-2693(84)91256-5	journal	July 1984
Exact solution of the O(3) nonlinear σ-model Wiegmann, P. B. Physics Letters B, Vol. 152, Issue 3-4 https://doi.org/10.1016/0370-2693(85)91171-2	journal	March 1985
Application of invariant renormalization to the non-linear chiral invariant pion Lagrangian in the one-loop approximation Ecker, G.; Honerkamp, J. Nuclear Physics B, Vol. 35, Issue 2 https://doi.org/10.1016/0550-3213(71)90468-8	journal	December 1971
Instatons, the quark model, and the 1/N expansion Witten, Edward Nuclear Physics B, Vol. 149, Issue 2 https://doi.org/10.1016/0550-3213(79)90243-8	journal	March 1979
Generalized non-linear σ-models with gauge invariance Brézin, E.; Hikami, S.; Zinn-Justin, J. Nuclear Physics B, Vol. 165, Issue 3 https://doi.org/10.1016/0550-3213(80)90047-4	journal	April 1980
The principal chiral field in two dimensions on classical lie algebras: The Bethe-ansatz solution and factorized theory of scattering Ogievetsky, E.; Reshetikhin, N.; Wiegmann, P. Nuclear Physics B, Vol. 280 https://doi.org/10.1016/0550-3213(87)90138-6	journal	January 1987
A renormalization-group study of helimagnets in D = 2 + ϵ dimensions Azaria, P.; Delamotte, B.; Delduc, F. Nuclear Physics B, Vol. 408, Issue 3 https://doi.org/10.1016/0550-3213(93)90376-Z	journal	November 1993
Quantum phase transitions in frustrated quantum antiferromagnets Chubukov, Andrey V.; Sachdev, Subir; Senthil, T. Nuclear Physics B, Vol. 426, Issue 3 https://doi.org/10.1016/0550-3213(94)90023-X	journal	September 1994
The massive model for frustrated spin systems Azaria, P.; Lecheminant, P.; Mouhanna, D. Nuclear Physics B, Vol. 455, Issue 3 https://doi.org/10.1016/0550-3213(95)00514-S	journal	September 1995
Curvatures of left invariant metrics on lie groups Milnor, John Advances in Mathematics, Vol. 21, Issue 3 https://doi.org/10.1016/S0001-8708(76)80002-3	journal	September 1976
Nonlinear σ models for triangular quantum antiferromagnets Dombre, T.; Read, N. Physical Review B, Vol. 39, Issue 10 https://doi.org/10.1103/PhysRevB.39.6797	journal	April 1989
Principal Chiral Model in Correlated Electron Systems Batista, Cristian D.; Shifman, Mikhail; Wang, Zhentao Physical Review Letters, Vol. 121, Issue 22 https://doi.org/10.1103/PhysRevLett.121.227201	journal	November 2018
Nonuniversality in helical and canted-spin systems Azaria, P.; Delamotte, B.; Jolicoeur, T. Physical Review Letters, Vol. 64, Issue 26 https://doi.org/10.1103/PhysRevLett.64.3175	journal	June 1990

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