Chiral Lagrangians from lattice gauge theories in the strong coupling limit
Taro Nagao, Shinsuke M. Nishigaki
Abstract
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 g2 N limit. To this end, we employ Zirnbauer'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 the above patterns of spontaneous chiral symmetry breaking without any assumptions.
Create a lesson
Related papers
Simulating a chiral gauge theory
Laurens Lootens, Hersh Singh
Quantum Computing for Entanglement Asymmetry and the Quantum Mpemba Effect in Field Theory
Keisuke Fujii, Harunobu Fujimura, Masazumi Honda et al.
Finite-volume Analysis of On-shell Subtraction in the Luescher formalism
Wanchen Lei, Yuting Wang, Jin-Yi Pang
A Note On Lattice Definition of Gauge Theories With Chiral Fermions
Edward Witten
Can multi-level Monte-Carlo address the sign problem in a finite-density Bose gas?
Rajatha Ranpatige, Finn M. Stokes
Confining strings in the reconfined phase of trace deformed three dimensional SU(2) Yang-Mills theory
Claudio Bonati, Michele Caselle, Alessio Negro et al.