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
Abstract
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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