Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-10-11
Phys.Rev.D83:045014,2011; Erratum-ibid.D83:069903,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
v2 matches published version, refs added, improved estimate of the gluon condensate
Scientific paper
10.1103/PhysRevD.83.045014 10.11
We investigate the infrared (strong-coupling) regime of SU(N)-Yang-Mills theory on a self-dual background. We present an evaluation of the full effective potential for the field strength invariant F_{\mu {\nu}}F^{\mu {\nu}} from non-perturbative gauge correlation functions and find a non-trivial minimum corresponding to the existence of a dimension four gluon condensate in the vacuum. We also relate the infrared asymptotic form of the beta function of the running background-gauge coupling to the asymptotic behavior of Landau-gauge gluon and ghost propagators. Consistency between both gauges in the infrared imposes a new upper bound on the infrared exponents of the propagators. For the scaling solution, this bound reads kappa_c < 23/38 which, together with Zwanziger's horizon condition kappa_c> 1/2, defines a rather narrow window for this critical exponent. Current estimates from functional methods indeed satisfy these bounds.
Eichhorn Astrid
Gies Holger
Pawlowski Jan M.
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