On $SU(2{)}_{CS}$-like groups and invariance of the fermionic action in QCD

Abstract

In this work, we introduce some new $U(1)$ symmetry groups of the free fermionic action in euclidean space-time, which are a consequence of parity and time-reversal symmetries. Afterwards, we discuss how the introduction of a gauge interaction affects the invariance of the action, with special reference to QCD. Moreover, inspired by recent QCD lattice results of \textit{Glozman et al.}, in which an interesting and unexpected symmetry group has been observed, namely $SU(2{)}_{CS}$ (that contains $U(1{)}_A$ as subgroup), we build other $SU(2{)}_{CS}$-like groups in euclidean space-time using the previous introduced $U(1)$ groups. Finally we argue about the possible invariance of the fermionic action with respect these new $SU(2{)}_{CS}$-like groups and its consequence on the hadron temporal correlators.

arXiv comment21 pages + appendices

References in corpus (13)

• The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions
• Finite temperature study of the axial U(1) symmetry on the lattice with overlap fermion formulation
• Evidence of effective axial U(1) symmetry restoration at high temperature QCD
• Topology and confinement
• Quark-Induced Correlations between Instantons Drive the Chiral Phase Transition
• The Chiral Phase Transition and Instanton Anti-instanton Molecules
• Symmetries of spatial meson correlators in high temperature QCD
• Symmetries of mesons after unbreaking of chiral symmetry and their string interpretation
• Isoscalar mesons upon unbreaking of chiral symmetry
• Chiral-spin symmetry of the meson spectral function above $T_c$
• Approximate degeneracy of $J=1$ spatial correlators in high temperature QCD
• Chiralspin symmetry and QCD at high temperature
• A hidden classical symmetry of QCD

Cited by in corpus (1)

• Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures