Pseudoscalar and scalar meson masses at finite temperature

A. Barducci, M. Modugno, G. Pettini, R. Casalbuoni, and R. Gatto
Phys. Rev. D 59, 114024 – Published 11 May 1999
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Abstract

The composite operator formalism is applied to QCD at finite temperature to calculate the masses of scalar and pseudoscalar mesons. In particular the ratio of the sigma mass to the pion mass is an interesting measure of the degree of chiral symmetry breaking at different temperatures. We calculate the temperature T* at which Mσ(T)<~2Mπ(T), above which the sigma partial width into two pions vanishes. We find T*=0.95Tc (where Tc is the critical temperature for the chiral phase transition), within the full effective potential given by the formalism. We find that an expansion à la Landau of the effective potential around the critical point in the limit of small quark mass provides for a very good determination of T*.

  • Received 6 October 1998

DOI:https://doi.org/10.1103/PhysRevD.59.114024

©1999 American Physical Society

Authors & Affiliations

A. Barducci, M. Modugno, and G. Pettini

  • Dipartimento di Fisica, Università di Firenze, I-50125 Firenze, Italy
  • Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, I-50125 Firenze, Italy

R. Casalbuoni* and R. Gatto

  • Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland

  • *On leave from Dipartimento di Fisica, Università di Firenze, I-50125 Firenze, Italy.

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Vol. 59, Iss. 11 — 1 June 1999

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