Screening and plasmon in QCD on a finite lattice

H. Th Elze, K. Kajantie, J. Kapusta

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Finite-size effects on lattice Monte Carlo measurements of the screening mass in high temperature QCD are studied by computing the static limit of the gluon polarization tensor p{cyrillic}μν on the lattice. Doing the sum over the discrete frequencies p0 analytically permits one to write the result in a very simple form as a threefold sum over pi and closely resembling the continuum result. The magnitude of the plasmon term in the pressure of an interacting quark-gluon gas on the lattice is estimated and shown to be small for lattices in current use. The same techniques are applied to the calculation of the energy density and the quark number susceptibility ∂nB (T, μ = 0) ∂μ for an ideal gas of quarks and gluons on the lattice.

Original languageEnglish (US)
Pages (from-to)832-849
Number of pages18
JournalNuclear Physics, Section B
Issue numberC
StatePublished - 1988

Bibliographical note

Funding Information:
We thank F. Karsch for comments. K.K. thanks the Academy of Finland for financial support and the Theoretical Physics Institute at the University of Minnesota for hospitality during a visit, in the course of which this research was started. J.K.'s research is supported by the US Department of Energy under contract DE-FG02-87ER40328.


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