270 research outputs found
Quasi-local Update Algorithms for Numerical Simulations of d=3 SU(2) LGT in the Dual Formulation
In the dual formulation of d=3 SU(2) LGT, the link variables are group
representations and valid configurations are those satisfying a number of
triangle inequalities. In \cite{lat99} algorithms for local updates that
automatically respect these constraints were described. It was also pointed out
there that these local updates were not ergodic. In this presentation, we
describe two different quasi-local updating algorithms which, in conjunction
with the local updates, appear to be ergodic.Comment: LATTICE2000(Topics in Gauge Theories),5 pages,5 figures,LaTe
Analytic Variational Investigation of Euclidean SU(3) Gauge Theory
Analytic variational techniques for lattice gauge theories based on the
Rayleigh-Ritz(RR) method were previously developed for euclidean SU(2) gauge
theories in 3 and 4 dimensions. Their extensions to SU(3) gauge theory
including applications to correlation functions and mass gaps are presented
here.Comment: 4-pages in 2-column format, typsetted for LaTeX with document style
espcrc2.sty (available on request), IMSc/93-2
Current Status of the Numerical Simulations of d=3 SU(2) Lattice Gauge Theory in the Dual Formulation
We have continued our systematic investigations of the numerical simulations
of lattice gauge theories in the dual formulation. These include: i) a more
practical implementation of the quasi-local updating technique, ii) a thorough
investigation of the sign problem, iii) issues related to the ergodicity of the
various update algorithms, iv) a novel way of measuring conventional
observables like plaquette in the dual formalism and v) investigations of
thermalisation. While the dual formulation holds out a lot of promises in
principle, there are still some ways to go before it can be made into an
attractive alternative lattice formulation.Comment: LATTICE2000(Topics in Gauge Theories),5 pages,3
figures,LaTex(espcrc2.sty
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