On the SL(2,R) symmetry in Yang-Mills Theories in the Landau, Curci-Ferrari and Maximal Abelian Gauge
D. Dudal, V.E.R. Lemes, M. Picariello, M.S. Sarandy, S.P. Sorella, H., Verschelde
TL;DR
This paper explores the presence and implications of SL(2,R) symmetry in various gauges of SU(N) Yang-Mills theories, highlighting its role in stability and symmetry breaking mechanisms.
Contribution
It demonstrates the existence of SL(2,R) symmetry across different gauges and analyzes its dynamical breaking due to ghost condensates in these theories.
Findings
SL(2,R) symmetry exists in Landau, Curci-Ferrari, and maximal Abelian gauges.
SL(2,R) symmetry prevents tachyonic instabilities in the maximal Abelian gauge.
Ghost condensates dynamically break SL(2,R) symmetry in these gauges.
Abstract
The existence of a SL(2,R) symmetry is discussed in SU(N) Yang-Mills in the maximal Abelian Gauge. This symmetry, also present in the Landau and Curci-Ferrari gauge, ensures the absence of tachyons in the maximal Abelian gauge. In all these gauges, SL(2,R) turns out to be dynamically broken by ghost condensates.
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