English

Recent advances on chiral partners and patterns

High Energy Physics - Phenomenology 2017-12-04 v1

Abstract

We review recent results on chiral SU(2)L×SU(2)RO(4)SU(2)_L\times SU(2)_R\approx O(4) and U(1)AU(1)_A symmetry restoration in QCD. In particular, we discuss how Ward Identities allow one to derive general results on partner degeneration, which shed light on the distinction between the O(4)O(4) and O(4)×U(1)AO(4)\times U(1)_A patterns of the chiral transition. For that purpose, susceptibilities associated with the O(4)O(4) and U(1)AU(1)_A symmetries are studied. From this analysis we conclude that in the ideal regime of exact O(4)O(4) restoration (formally achieved in the limit of two massless flavours), U(1)AU(1)_A partners degenerate as well. We also discuss the role of the thermal f0(500)f_0(500) state to describe thermodynamic observables sensitive to chiral restoration, such as the scalar susceptibility. We pay special attention to the consistency of our results with recent lattice analysis.

Keywords

Cite

@article{arxiv.1712.00074,
  title  = {Recent advances on chiral partners and patterns},
  author = {Angel Gómez Nicola and Jacobo Ruiz de Elvira and Silvia Ferreres-Solé and Andrea Vioque-Rodríguez},
  journal= {arXiv preprint arXiv:1712.00074},
  year   = {2017}
}

Comments

6 pages, 3 figures. Proceedings of Hadron 2017 conference, 25-29 september 2017, Salamanca (Spain)

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