TY  - CONF
A1  - Langelage, Jens
A1  - Münster, Gernot
A1  - Philipsen, Owe
T1  - Strong coupling expansion for Yang-Mills theory at finite temperature
T2  - Proceedings of Science
N2  - Euclidean strong coupling expansion of the partition function is applied to lattice Yang-Mills theory
at finite temperature, i.e. for lattices with a compactified temporal direction. The expansions
have a finite radius of convergence and thus are valid only for b <bc, where bc denotes the nearest
singularity of the free energy on the real axis. The accessible temperature range is thus the
confined regime up to the deconfinement transition. We have calculated the first few orders of
these expansions of the free energy density as well as the screening masses for the gauge groups
SU(2) and SU(3). The resulting free energy series can be summed up and corresponds to a glueball
gas of the lowest mass glueballs up to the calculated order. Our result can be used to fix
the lower integration constant for Monte Carlo calculations of the thermodynamic pressure via
the integral method, and shows from first principles that in the confined phase this constant is
indeed exponentially small. Similarly, our results also explain the weak temperature dependence
of glueball screening masses below Tc, as observed in Monte Carlo simulations. Possibilities and
difficulties in extracting bc from the series are discussed.
Y1  - 2012
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/27282
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-272821
SN  - 1824-8039
N1  - The XXV International Symposium on Lattice Field Theory, July 30-4 August 2007, Regensburg, Germany
VL  - 2007
IS  - LATTICE 2007: 201
PB  - Scuola Internazionale Superiore di Studi Avanzati, SISSA
CY  - Trieste
ER  -