Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
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 FμνFμν from nonperturbative gauge correlation functions and find a nontrivial minimum corresponding to...
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
15 February 2011
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| In: |
Physical review. D, Particles, fields, gravitation, and cosmology
Year: 2011, Jahrgang: 83, Heft: 4 |
| ISSN: | 1550-2368 |
| DOI: | 10.1103/PhysRevD.83.045014 |
| Online-Zugang: | Verlag, Volltext: http://dx.doi.org/10.1103/PhysRevD.83.045014 Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.83.045014 
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| Verfasserangaben: | Astrid Eichhorn, Holger Gies, and Jan M. Pawlowski |
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| 520 | |a 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 FμνFμν from nonperturbative gauge correlation functions and find a nontrivial minimum corresponding to the existence of a dimension four gluon condensate in the vacuum. We also relate the infrared asymptotic form of the β 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 κc<23/38 which, together with Zwanziger’s horizon condition κc>1/2, defines a rather narrow window for this critical exponent. Current estimates from functional methods indeed satisfy these bounds. | ||
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