Chiral Lagrangians from lattice gauge theories in the strong coupling limit

Journal Article · Sun Jul 01 00:00:00 EDT 2001 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.64.014507· OSTI ID:40204486

Nagao, Taro; Nishigaki, Shinsuke M

We derive nonlinear {sigma} models (chiral Lagrangians) over symmetric spaces U(n), U(2n)/Sp(2n), and U(2n)/O(2n) from U(N), O(N), and Sp(2N) lattice gauge theories coupled to n flavors of staggered fermions, in the large-N and g{sup 2}N limit. To this end, we employ Zirnbauer{close_quote}s color-flavor transformation. We prove the spatial homogeneity of the vacuum configurations of mesons by explicitly solving the large-N saddle point equations, and thus establish these patterns of spontaneous chiral symmetry breaking in the above limit.

• Sponsoring Organization: (US)
• OSTI ID: 40204486
• Journal Information: Physical Review D, Vol. 64, Issue 1; Other Information: DOI: 10.1103/PhysRevD.64.014507; Othernumber: PRVDAQ000064000001014507000001; 010115PRD; PBD: 1 Jul 2001; ISSN 0556-2821
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
ENANTIOMORPHS
FERMIONS
MESONS