Strong coupling expansion for Yang-Mills theory at finite temperature
- 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.
Author: | Jens Langelage, Gernot Münster, Owe PhilipsenORCiDGND |
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URN: | urn:nbn:de:hebis:30:3-272821 |
ISSN: | 1824-8039 |
Parent Title (English): | Proceedings of Science |
Publisher: | Scuola Internazionale Superiore di Studi Avanzati, SISSA |
Place of publication: | Trieste |
Document Type: | Conference Proceeding |
Language: | English |
Date of Publication (online): | 2012/12/17 |
Year of first Publication: | 2007 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2012/12/17 |
Volume: | 2007 |
Issue: | LATTICE 2007: 201 |
Page Number: | 7 |
Note: | The XXV International Symposium on Lattice Field Theory, July 30-4 August 2007, Regensburg, Germany |
HeBIS-PPN: | 316098892 |
Institutes: | Physik / Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - Namensnennung-Keine kommerzielle Nutzung-Weitergabe unter gleichen Bedingungen |