TY  - CONF
A1  - Philipsen, Owe
A1  - Bieletzki, Daniel
A1  - Schröder, York
T1  - Screened perturbation theory for 3d Yang-Mills theory and the magnetic modes of hot QCD : International Workshop on QCD Green’s Functions, Confinement, and Phenomenology - QCD-TNT09, September 07 - 11 2009, ECT Trento, Italy
T2  - Proceedings of Science
N2  - Perturbation theory for non-abelian gauge theories at finite temperature is plagued by infrared
divergences which are caused by magnetic soft modes ~ g2T, corresponding to gluon fields of
a 3d Yang-Mills theory. While the divergences can be regulated by a dynamically generated
magnetic mass on that scale, the gauge coupling drops out of the effective expansion parameter
requiring summation of all loop orders for the calculation of observables. Some gauge invariant
possibilities to implement such infrared-safe resummations are reviewed. We use a scheme based
on the non-linear sigma model to estimate some of the contributions  ~ g6 of the soft magnetic
modes to the QCD pressure through two loops. The NLO contribution amounts to ~ 10% of the
LO, suggestive of a reasonable convergence of the series.
Y1  - 2009
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/27288
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-272887
SN  - 1824-8039
VL  - 2009
IS  - (QCD-TNT09)052
PB  - Scuola Internazionale Superiore di Studi Avanzati, SISSA
CY  - Trieste
ER  -