Violation of Parity and Flavor Symmetries in a Nambu-Jona-Lasinio Model

2024/12/26 by Yukimi Goto, Goto, Yukimi, Tohru Koma +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2412.19244

openalex publication_date 2024/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a lattice Nambu-Jona-Lasinio model with certain continuous chiral and two-flavor symmetries. For the Hamiltonian of the model, we construct a ground state which breaks the parity and flavor symmetries. In our argument, the chiral symmetry plays a crucial role for proving the violation of the parity and flavor symmetries, although the model does not contain the so-called Wilson term.

Cited by

• Antiferromagnetic Long-Range Order in a Lattice Fermion Model

Related

• Dynamical symmetry breaking in the gauged Nambu-Jona-Lasinio model
• Parity anomaly from LSM: exact valley symmetries on the lattice
• Dynamical Symmetry Breaking in Supersymmetric Extensions of\n Nambu-Jona-Lasinio Model
• Fermions on lattice and chiral invariance
• Solving the \rm U(2)_L × \rm U(2)_R symmetric Nambu--Jona-Lasinio model in 1+1 dimensions