Octet Baryons at Finite Temperature: QCD Sum Rules vs. Chiral Symmetry

Details Octet Baryons at Finite Temperature: QCD Sum Rules vs. Chiral Symmetry Octet Baryons at Finite Temperature: QCD Sum Rules vs. Chiral Symmetry

1993-06-05

arxiv.org/abs/hep-ph/9306231v1

Phys.Rev. D48 (1993) 2313-2323

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, MSUNSCL-870, LaTex files, 2 figs. consisting of simple Feynmann diagrams not included, Phys.Rev.D in press

Scientific paper

10.1103/PhysRevD.48.2313

Correlators of the octet baryons in the hot pion gas are studied in the framework of the QCD sum rule. The condensates appearing in the OPE side of the correlators become T-dependent through the interaction with thermal pions. We present an explicit demonstration that the $O(T^2)$-dependence of the condensates is completely compensated by the change of the pole residue and the $\pi + B \rightarrow B'$ scattering effect in the spectral functions. Therefore the baryon masses are constant to this order, although $\langle\bar{u}u\rangle_T\simeq\langle\bar{u}u\rangle_0(1-T^2/8f_\pi^2)$, which is consistent with the chiral symmetry constraint by Leutwyler and Smilga.

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