Possible scenario of dynamical chiral symmetry breaking in the interacting instanton liquid model

Abstract

We compute the vacuum energy density as a function of the quark condensate in the interacting instanton liquid model (IILM) and examine the pattern of dynamical chiral symmetry breaking from its behavior around the origin. This evaluation is performed by using simulation results of the IILM. We find that chiral symmetry is broken in the U(1)_A anomaly assisted way in the IILM with three-flavor dynamical quarks. We call such a symmetry breaking the anomaly-driven breaking which is one of the scenarios of chiral symmetry breaking proposed in the context of the chiral effective theories. We also find that the instanton-quark interaction included in the IILM plays a crucial role for the anomaly-driven breaking by comparing the full and the quenched IILM calculations.

arXiv comment12 pages, 7 figures, 11 tables

References in corpus (15)

• Instantons in QCD
• FLAG Review 2021
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
• Direct determination of the strange and light quark condensates from full lattice QCD
• Direct extraction of the chiral quark condensate and bounds on the light quark masses
• The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_f=2+1$ Domain Wall QCD
• SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations
• The instanton liquid in QCD at zero and finite temperature
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Lattice QCD at the physical point meets SU(2) chiral perturbation theory
• Determination of the quark condensate from heavy-light current-current correlators in full lattice QCD
• Chiral Condensate and Spectral Density at full five-loop and partial six-loop orders of Renormalization Group Optimized Perturbation
• Correlations between the strange quark condensate, strange quark mass, and kaon PCAC relation
• Role of U${}_A$(1) breaking term in dynamical chiral symmetry breaking of chiral effective theories

Cited by in corpus (1)

• Different scenarios of dynamical chiral symmetry breaking in the interacting instanton liquid model via flavor symmetry breaking