Green’s function Monte Carlo study of SU(3) lattice gauge theory in <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn></mn><mo>(</mo><mn>3</mn><mo>+</mo><mn>1</mn><mo>)</mo><mn></mn><mi mathvariant="normal">D</mi></math></span>

C. J. Hamer; M. Samaras; R. J. Bursill

doi:10.1103/PhysRevD.62.074506

Green’s function Monte Carlo study of SU(3) lattice gauge theory in $(3 + 1) D$

C. J. Hamer, M. Samaras, and R. J. Bursill

Phys. Rev. D 62, 074506 – Published 8 September 2000

Abstract

A “forward walking” Green’s function Monte Carlo algorithm is used to obtain expectation values for SU(3) lattice Yang-Mills theory in $3 + 1$ dimensions. The ground state energy and Wilson loops are calculated, and the finite-size scaling behavior is explored. Crude estimates of the string tension are derived, which agree with previous results at intermediate couplings, but more accurate results for larger loops will be required to establish scaling behavior at weak coupling.

Received 8 May 2000

DOI:https://doi.org/10.1103/PhysRevD.62.074506

Authors & Affiliations

C. J. Hamer^*, M. Samaras, and R. J. Bursill^†

School of Physics, University of New South Wales, Sydney, 2052, Australia

^*Email address: cjh@newt.phys.unsw.edu.au
^†Addresses: Department of Physics, UMIST, P.O. Box 88, Manchester, M60 1QD, UK and School of Physics, University of New South Wales, Sydney 2052, Australia.

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Vol. 62, Iss. 7 — 1 October 2000

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