2019 Impact factor 4.389
Particles and Fields
Eur. Phys. J. C 7, 673-683
DOI 10.1007/s100529801033

Field strength correlator and an infrared fixed point of the Wilsonian exact renormalization group equations

U. Ellwanger

Laboratoire de Physique Théorique et Hautes Energies, Université de Paris XI, Centre d'Orsay, Bâtiment 210, 91405 Orsay Cedex, France

Received: 15 July 1998 / Published online: 6 November 1998

The correlator of two field strengths is computed from an effective action for Yang Mills theories, which contains both gluons and an auxiliary antisymmetric tensor field for the field strength as local variables. This action allows to relate explicitly many different approaches to confinement, and is computed using Wilsonian renormalization group equations with the bare Yang Mills action as starting point. Due to the inclusion of a higher dimensional operator in the ghost sector the running gauge coupling becomes vanishingly small at a critical scale kc, and the resulting low energy action resembles the action of a confining string theory proposed by Polyakov.

Author for correspondance: ellwange@qcd.th.u-psud.fr

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