English

Testing Dimensional Reduction in SU(2) Gauge Theory

High Energy Physics - Lattice 2015-06-25 v1

Abstract

At high temperature, every (d+1)(d+1)-dimensional theory can be reformulated as an effective theory in dd 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=4TcT=4 T_c downwards, which may however be due to somewhat different implementations of dimensional reduction in the two cases.

Keywords

Cite

@article{arxiv.hep-lat/0110138,
  title  = {Testing Dimensional Reduction in SU(2) Gauge Theory},
  author = {Slavo Kratochvila and Philippe de Forcrand},
  journal= {arXiv preprint arXiv:hep-lat/0110138},
  year   = {2015}
}

Comments

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