Finite \(T\) meson correlations and quark deconfinement

DOI10.1142/S0217751X01003457zbMATH Open0991.81602arXivnucl-th/0002024OpenAlexW3099165007MaRDI QIDQ2731444

Author name not available (Why is that?)

Publication date: 29 July 2001

Published in: (Search for Journal in Brave)

Abstract: Finite temperature spatial

correlation modes in the

p i

and

h o

channels are studied with the rainbow-ladder truncated quark Dyson-Schwinger equation and Bethe-Salpeter equation in the Matsubara formalism. To retain the finite range of the effective interaction while facilitating summation over fermion Matsubara modes necessary to ensure continuity at {T=0}, a separable kernel is used. The model is fixed by {T=0} properties and it implements dynamical chiral symmetry breaking and quark confinement. Above and below the deconfinement and chiral restoration transitions, we study

M_{p} i (T)

,

f_{p} i (T)

and the 3-space transverse and longitudinal masses

M_{h} o^{T} (T)

and

M_{h} o^{L} (T)

. For the

h o

mode we also study the strong and electromagnetic partial widths to determine the

T

-dependence that is generated by the quark content. The

h o o p i p i

width decreases sharply just above the chiral restoration transition leaving the

h o

with only its narrow {

e^{+} e^{-}

} width. We discuss improvements needed by this model, especially in regard to the high

T

behavior of the masses where we compare to lattice QCD simulations.

Full work available at URL: https://arxiv.org/abs/nucl-th/0002024

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