# Chiralspin symmetry and confinement

### Submission summary

 As Contributors: Marco Catillo Arxiv Link: https://arxiv.org/abs/2112.06850v2 (pdf) Date accepted: 2022-05-06 Date submitted: 2022-02-01 12:29 Submitted by: Catillo, Marco Submitted to: SciPost Physics Proceedings Proceedings issue: XXXIII International Workshop on High Energy Physics (Hard Problems of Hadron Physics: Non-Perturbative QCD & Related Quests) Academic field: Physics Specialties: High-Energy Physics - Theory

### Abstract

Interesting lattice QCD simulations at high temperature in QCD and particular truncated studies have shown the emergence of an unexpected group symmetry, so called \textit{chiralspin}. However this is not a symmetry of the QCD action for free quarks, which makes unclear the transition to deconfinement at high temperature in QCD. Therefore we try to redefine this group so that is a symmetry of free quark action and it is consistent with the presence of deconfinement in QCD.

Published as SciPost Phys. Proc. 6, 016 (2022)

### Submission & Refereeing History

#### Published as SciPost Phys. Proc. 6, 016 (2022)

Submission 2112.06850v2 on 1 February 2022

## Reports on this Submission

### Anonymous Report 1 on 2022-3-29 (Invited Report)

• Cite as: Anonymous, Report on arXiv:2112.06850v2, delivered 2022-03-29, doi: 10.21468/SciPost.Report.4806

### Report

The paradox concerning the absence of the chiralspin symmetry at high temperatures in QCD (in the limit of free quarks) is solved. Chiralspin symmetry provides a natural explanation of anomalous degeneracy between hadronic states when either chiral symmetry is restored or low-energy modes of the Dirac operators are removed. In a series of studies it was demonstrated that the chiralspin symmetry takes place at $T_c<T<3T_c$. The author proposed a modified version of the chiralspin symmetry which not only explains the mentioned degeneration and is fulfilled in the postconfinement domain $T_c<T<3T_c$ but also takes place in the limit of free quarks.
Thus this study represents an important step towards understanding the mechanism of chiral symmetry restoration and temperature dependence of hadronic structure.

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