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The nucleon mass shift is calculated using chiral counting arguments and a virial expansion, without and with the $Delta$. At all temperatures, the mass shift and damping rate are dominated by the $Delta$. Our results are compared with the empirical analysis of Leutwyler and Smilga, as well as results from heavy baryon chiral perturbation theory in the large $N_{c}$ (number of color) limit. We show that unitarity implies that the concepts of thermal shifts are process dependent.
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The importance of studying matter at high $rho$ increases as more astrophysical data becomes available from recently launched spacecrafts. The importance of high T studies derives from heavy ion data. In this paper we set up a formalism to study the nucleons and isobars with long and short range potentials non-pertubatively, bosonizing and expanding semi-classically the Feyman integrals up to one loop. We address the low density, finite T problem=A0 first, the case relevant to heavy ion collisions, hoping to adresss the high density case later. Interactions change the nucleon and isobar numbers at different $rho$ and T non-trivially.
We demonstrate the applicability of integration-by-parts (IBP) identities in finite-temperature field theory. As a concrete example, we perform 3-loop computations for the thermodynamic pressure of QCD in general covariant gauges, and confirm earlier Feynman-gauge results.
We apply the $delta$-expansion perturbation scheme to the $lambda phi^{4}$ self-interacting scalar field theory in 3+1 D at finite temperature. In the $delta$-expansion the interaction term is written as $lambda (phi^{2})^{ 1 + delta}$ and $delta$ is considered as the perturbation parameter. We compute within this perturbative approach the renormalized mass at finite temperature at a finite order in $delta$. The results are compared with the usual loop-expansion at finite temperature.
This paper has been withdrawn by the authors and replaced by the revised version in arXiv:0709.1772.
We work out the method for evaluating the QCD coupling constant at finite temperature ($T$) by making use of the finite $T$ renormalization group equation up to the one-loop order on the basis of the background field method with the imaginary time formalism. The background field method, which maintains the explicit gauge invariance, provides notorious simplifications since one has to calculate only the renormalization constant of the background field gluon propagator. The results for the evolution of the QCD coupling constant at finite $T$ reproduce partially the ones obtained in the literature. We discuss, in particular, the origin of the discrepancies between different calculations, such as the choice of gauge, the break-down of Lorentz invariance, imaginary versus real time formalism and the applicability of the Ward identities at finite $T$.
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