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Chiral symmetry restoration with three chiral partners
by Juan M. Torres-Rincon
This Submission thread is now published as
|Authors (as registered SciPost users):||Juan Torres-Rincon|
|Preprint Link:||scipost_202201_00028v1 (pdf)|
|Date submitted:||2022-01-23 14:11|
|Submitted by:||Torres-Rincon, Juan|
|Submitted to:||SciPost Physics Proceedings|
|Proceedings issue:||XXXIII International Workshop on High Energy Physics (IWHEP2021)|
I discuss the masses of chiral partners in the context of chiral symmetry restoration at finite temperature. Using the Nambu–Jona-Lasinio model I first remind the usual situation where two mesons of opposed parity become degenerate above the chiral transition temperature. Then I consider an effective theory for D mesons where the positive parity companion presents a “double pole structure”. In this case three different masses need to be analyzed as functions of the temperature. I suggest a possible restoration pattern at high temperatures when the back-reaction of the quark condensate is incorporated.
Published as SciPost Phys. Proc. 6, 015 (2022)
Submission & Refereeing History
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Reports on this Submission
- Cite as: Anonymous, Report on arXiv:scipost_202201_00028v1, delivered 2022-03-29, doi: 10.21468/SciPost.Report.4809
Chiral symmetry restoration at $T>T_c$ is considered in various models including those in which chiral partners in chiral doublets are generated dynamically. Particular attention is given to the $D^*_0(2300)$ resonance and its chiral partner $D$, the former having two-pole structure. It was found that the effective field model does not predict vanishing of mass difference between $D^*_0(2300)$ and $D$ at $T>T_c$. However, the author shows that this mass splitting may be decreased or even disappear provided that temperature dependence of pion decay constant is taken into account.
The contribution is characterised by clear presentation, thorough attention to comparison of various appraches, detailed analysis of various descriptions of the chiral transitions.