Testing Dimensional Reduction in SU(2) Gauge Theory

Details Testing Dimensional Reduction in SU(2) Gauge Theory Testing Dimensional Reduction in SU(2) Gauge Theory

2001-10-16

arxiv.org/abs/hep-lat/0110138v1

Nucl.Phys.Proc.Suppl. 106 (2002) 522-524

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(hightemp), AMS-LaTeX v1.2, 3 pages with 3 figures

Scientific paper

At high temperature, every $(d+1)$-dimensional theory can be reformulated as an effective theory in $d$ dimensions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparing perturbatively determined effective couplings with lattice results as the temperature is progressively lowered. We observe an increasing disagreement between numerical and perturbative values from $T=4 T_c$ downwards, which may however be due to somewhat different implementations of dimensional reduction in the two cases.

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