Counterterms for Linear Divergences in Real-Time Classical Gauge Theories at High Temperature

Details Counterterms for Linear Divergences in Real-Time Classical Gauge Theories at High Temperature Counterterms for Linear Divergences in Real-Time Classical Gauge Theories at High Temperature

1999-06-16

arxiv.org/abs/hep-ph/9906389v3

Nucl.Phys. B575 (2000) 383-396

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, major changes

Scientific paper

10.1016/S0550-3213(00)00080-8

Real-time classical SU($N$) gauge theories at non-zero temperature contain linear divergences. We introduce counterterms for these divergences in the equations of motion in the continuum and on the lattice. These counterterms can be given in terms of auxiliary fields that satisfy local equations of motion. We present a lattice model with 6+1D auxiliary fields that for IR-sensitive quantities yields cut-off independent results to leading order in the coupling. Also an approximation with 5+1D auxiliary fields is discussed.

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