𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Four loop stochastic perturbation theory in 3d SU(3)

✍ Scribed by F. Di Renzo; A. Mantovi; V. Miccio; Y. Schröder

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
277 KB
Volume
129-130
Category
Article
ISSN
0920-5632

No coin nor oath required. For personal study only.

✦ Synopsis

Dimensional

reduction is a key issue in finite temperature field theory. For example, when following the QCD Free Energy from low to high scales across the critical temperature, ultrasoft degrees of freedom can be captured by a 3d SU(3) pure gauge theory. For such a theory a complete perturbative matching requires four loop computations, which we undertook by means of Numerical Stochastic Perturbation Theory. We report on the computation of the pure gauge plaquette in 3d, and in particular on the extraction of the logarithmic divergence at order g8, which had already been computed in the continuum.

📜 SIMILAR VOLUMES

Thermal evolution of the chiral condensa
Thermal evolution of the chiral condensate in SU(2) and SU(3) Chiral perturbation theory
✍ J.R. Peláez 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 878 KB

The temperature evolution of the chiral condensates in a gas made of pions, kaons and etas is studied within the framework of SU(2) and SU(3) Chiral Perturbation Theory. We describe the temperature dependence of the quark condensates by using the meson meson scattering phase shifts in a second order