Linear growth of the trace anomaly in Yang-Mills thermodynamics

Journal Article · Mon Oct 15 04:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.085022· OSTI ID:21032508

Giacosa, Francesco ^[1]; Hofmann, Ralf ^[2]

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1. Institut fuer Theoretische Physik, Universitaet Frankfurt, Johann Wolfgang Goethe-Universitaet, Max von Laue-Strasse 1, 60438 Frankfurt (Germany)
2. Institut fuer Theoretische Physik, Universitaet Karlsruhe (Thailand), Kaiserstrasse 12 76131 Karlsruhe (Germany)

In the lattice work by Miller and in the work by Zwanziger a linear growth of the trace anomaly for high temperatures was found in pure SU(2) and SU(3) Yang-Mills theories. While future numerical work is needed to confirm or to rule out the linear growth, the aforementioned results point to the remarkable property that the corresponding systems are strongly interacting even at high temperatures. We show that within an analytical approach to Yang-Mills thermodynamics this linear rise is obtained and is directly connected to the presence of a temperature-dependent ground state, which describes (part of) the nonperturbative nature of the Yang-Mills system. Our predictions are in approximate agreement with Miller and Zwanziger.

• OSTI ID: 21032508
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GROUND STATES
LATTICE FIELD THEORY
SU-2 GROUPS
SU-3 GROUPS
TEMPERATURE DEPENDENCE
THERMODYNAMICS
YANG-MILLS THEORY