The partition function of Z(2) and Z(8) lattice gauge theory in four dimensions, a novel approach to simulations of lattice systems

Gyan Bhanot, Khalil Bitar, Steve Black, Paul Carter, Román Salvador

Research output: Contribution to journalArticle

45 Citations (Scopus)

Abstract

A new method to simulate lattice systems is described. We demonstrate our method by computing the complete partition functions of Z(2) and Z(8) gauge theories in four dimensions on lattices of size up to 64. Our method yields a clear signal for the first order transition(s) in these models without hysteresis or critical slowing down effects. We show how finite size scaling of the zeros of the partition function provides an unambiguous identification of the order of the transition.

Original languageEnglish (US)
Pages (from-to)381-386
Number of pages6
JournalPhysics Letters B
Volume187
Issue number3-4
DOIs
StatePublished - Mar 26 1987

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gauge theory
partitions
simulation
hysteresis
scaling

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Bhanot, Gyan ; Bitar, Khalil ; Black, Steve ; Carter, Paul ; Salvador, Román. / The partition function of Z(2) and Z(8) lattice gauge theory in four dimensions, a novel approach to simulations of lattice systems. In: Physics Letters B. 1987 ; Vol. 187, No. 3-4. pp. 381-386.
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The partition function of Z(2) and Z(8) lattice gauge theory in four dimensions, a novel approach to simulations of lattice systems. / Bhanot, Gyan; Bitar, Khalil; Black, Steve; Carter, Paul; Salvador, Román.

In: Physics Letters B, Vol. 187, No. 3-4, 26.03.1987, p. 381-386.

Research output: Contribution to journalArticle

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