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Recent advances on chiral partners and patterns and the thermal f0(500) in chiral restoration

Nicola, Angel Gómez ; De Elvira, Jacobo Ruiz ; Ferreres-Solé, Silvia and Vioque-Rodríguez, Andrea (2017) 17th International Conference on Hadron Spectroscopy and Structure, Hadron 2017 In Proceedings of Science 310.
Abstract

We review recent results on chiral SU(2)L ×SU(2)R ≈ O(4) and U(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) and O(4) ×U(1)A patterns of the chiral transition. For that purpose, susceptibilities associated with the O(4) and U(1)A symmetries are studied. From this analysis we conclude that in the ideal regime of exact O(4) restoration (formally achieved in the limit of two massless flavours), U(1)A partners degenerate as well. We also discuss the role of the thermal f0(500) state to describe thermodynamic observables... (More)

We review recent results on chiral SU(2)L ×SU(2)R ≈ O(4) and U(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) and O(4) ×U(1)A patterns of the chiral transition. For that purpose, susceptibilities associated with the O(4) and U(1)A symmetries are studied. From this analysis we conclude that in the ideal regime of exact O(4) restoration (formally achieved in the limit of two massless flavours), U(1)A partners degenerate as well. We also discuss the role of the thermal f0(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.

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author
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publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Proceedings of Science
series title
Proceedings of Science
volume
310
conference name
17th International Conference on Hadron Spectroscopy and Structure, Hadron 2017
conference location
Salamanca, Spain
conference dates
2017-09-25 - 2017-09-29
external identifiers
  • scopus:85052909812
DOI
10.22323/1.310.0204
language
English
LU publication?
no
id
a17ddca1-334a-45cc-9ca3-97133477a988
date added to LUP
2018-11-19 09:10:32
date last changed
2022-03-10 23:10:31
@inproceedings{a17ddca1-334a-45cc-9ca3-97133477a988,
  abstract     = {{<p>We review recent results on chiral SU(2)<sub>L</sub> ×SU(2)<sub>R</sub> ≈ O(4) and U(1)<sub>A</sub> 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) and O(4) ×U(1)<sub>A</sub> patterns of the chiral transition. For that purpose, susceptibilities associated with the O(4) and U(1)<sub>A</sub> symmetries are studied. From this analysis we conclude that in the ideal regime of exact O(4) restoration (formally achieved in the limit of two massless flavours), U(1)<sub>A</sub> partners degenerate as well. We also discuss the role of the thermal f<sub>0</sub>(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.</p>}},
  author       = {{Nicola, Angel Gómez and De Elvira, Jacobo Ruiz and Ferreres-Solé, Silvia and Vioque-Rodríguez, Andrea}},
  booktitle    = {{Proceedings of Science}},
  language     = {{eng}},
  series       = {{Proceedings of Science}},
  title        = {{Recent advances on chiral partners and patterns and the thermal f<sub>0</sub>(500) in chiral restoration}},
  url          = {{http://dx.doi.org/10.22323/1.310.0204}},
  doi          = {{10.22323/1.310.0204}},
  volume       = {{310}},
  year         = {{2017}},
}