Zeroing in on SU(3)

Marek Karliner, Stephen R. Sharpe, Y. F. Chang

Research output: Contribution to journalArticlepeer-review

Abstract

We present an improved numerical method for calculating the density of states for lattice field theories. We use it to study the SU(3) pure gauge theory at both zero and finite temperature. We also compute strong and weak coupling expansions for the density of states and find excellent agreement with our data. Using a specially developed algorithm for solving high-order polynomials, we find the zeroes of the partition function. For lattices with Lt = 2, we test the finite-size scaling prediction for the rounding of the transition by following the motion of these zeroes for Ls=6, 8, 10, and 12. We find that the correlation length exponent is 1/v = 3.02 ± 0.05, in excellent agreement with the value d=3 expected for a first-order deconfinement transition.

Original languageEnglish
Pages (from-to)204-250
Number of pages47
JournalNuclear Physics, Section B
Volume302
Issue number2
DOIs
StatePublished - 30 May 1988
Externally publishedYes

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