Gluon condensation and scaling exponents for the propagators in Yang-Mills theory

• Verfasst von: Eichhorn, Astrid [VerfasserIn]
• Verfasst von: Gies, Holger [VerfasserIn]
• Verfasst von: Pawlowski, Jan M. [VerfasserIn]
• Titel: Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
• Verf.angabe: Astrid Eichhorn, Holger Gies, and Jan M. Pawlowski
• Fussnoten: Gesehen am 01.12.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2011
• Band/Heft Quelle: (2011) Artikel-Nummer 1010.2153, 12 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1565924614

Abstract

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.