A chiralspin symmetry in QCD in Minkowski space-time

Abstract

In this paper, we look how to construct in Minkowski space-time a new type of \textit{chiralspin} group transformation of the spinor fields, similar to the one discovered by recent works of \textit{Glozman et al.} in the context of high temperature QCD and truncated studies in lattice calculations. Afterwards, we prove the invariance of free massless fermionic action under such group transformations, as well the invariance of the Hamiltonian of free massless fermions. At the end, the possible presence of a symmetry driven by such new \textit{chiralspin} group at high temperature QCD, also at non zero chemical potential, is discussed.

arXiv comment9 pages + appendices; typos corrected and minor changes are implemented

References in corpus (11)

• 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
• 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
• Baryon parity doublets and chiralspin symmetry
• A hidden classical symmetry of QCD