Deconfining temperatures in SO(N) and SU(N) gauge theories
Richard Lau, Michael Teper
TL;DR
This paper investigates deconfining temperatures in SO(N) gauge theories in 2+1 dimensions, highlighting their potential to model QCD at finite chemical potential and comparing results with SU(N) theories.
Contribution
It provides new results on deconfining temperatures in SO(N) gauge theories and compares them with SU(N), exploring large-N equivalences and differences in gauge group centers.
Findings
Deconfining temperatures in SO(2N) and SU(N) match at large N.
SO(2N+1) gauge theories exhibit similar deconfining behavior.
Differences observed between SO(6) and SU(4) due to different centers.
Abstract
We present our current results for the deconfining temperatures in SO(N) gauge theories in 2+1 dimensions. SO(2N) theories may help us to understand QCD at finite chemical potential since there is a large-N orbifold equivalence between SO(2N) QCD-like theories and SU(N) QCD, and SO(2N) theories do not have the sign problem present in QCD. We show that the deconfining temperatures in these two theories match at the large-N limit. We also present results for SO(2N+1) gauge theories and compare results for SO(6) with SU(4) gauge theories, which have the same Lie algebras but different centres.
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