Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-12-09
Phys.Lett.B321:66-74,1994; ERRATUM-ibid.B328:547,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, HD--TVP--93--15. (3 figures - available on request)
Scientific paper
10.1016/0370-2693(94)90328-X
The temperature behaviour of meson condensates $<\sigma_0>$ and $<\sigma_8>$ is calculated in the $SU(3)\times SU(3)$-linear sigma model. The couplings of the Lagrangian are fitted to the physical $\pi,K,\eta,\eta'$ masses, the pion decay constant and a $O^+(I=0)$ scalar mass of $m_\sigma=1.5$ GeV. The quartic terms of the mesonic interaction are converted to a quadratic term with the help of a Hubbard-Stratonovich transformation. Effective mass terms are generated this way, which are treated self-consistently to leading order of a $1/N$-expansion. We calculate the light $<\bar q q>$ and strange $<\bar s s>$-quark condensates using PCAC relations between the meson masses and condensates. For a cut-off value of 1.5 GeV we find a first-order chiral transition at a critical temperature $T_c\sim 161$ MeV. At this temperature the spontaneously broken subgroup $SU(2)\times SU(2)$ is restored. Entropy density, energy density and pressure are calculated for temperatures up to and slightly above the critical temperature. To our surprise we find some indications for a reduced contribution from strange mesons for $T\geq T_c$.
Metzger Dan
Meyer--Ortmanns H.
Pirner Hans-Juergen
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