Confinement, Monopoles and Wilsonian Effective Action

Abstract

An effective low energy action for Yang-Mills theories is proposed, which invokes an additional auxiliary field $H_{\mu \nu }$ for the field strength $F_{\mu \nu }$. For a particular relation between the parameters of this action a gluon propagator with a $1/p^4$ behaviour for $p^2\to 0$ in the Landau gauge is obtained. The abelian subsector of this action admits a duality transformation, where the dual action contains a Goldstone boson $\phi$ as the dual of $H_{\mu \nu }$, and corresponds to an abelian Higgs model in the broken phase describing the condensation of magnetic charges. The Wilsonian renormalization group equations for the parameters of the original action are integrated in some approximation, and we find that the relation among the parameters associated with confinement appears as an infrared attractive fixed point.

25 pages, LaTex, 2 figures

References in corpus (2)

• Exact evolution equation for the effective potential
• Magnetic Monopoles, Gauge Invariant Dynamical Variables and Georgi Glashow Model

Cited by in corpus (13)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• The nonperturbative functional renormalization group and its applications
• Running coupling in Yang-Mills theory - a flow equation study -
• Renormalisation group flows for gauge theories in axial gauges
• Wilsonian effective action for SU(2) Yang-Mills theory with Cho-Faddeev-Niemi-Shabanov decomposition
• A low-energy effective Yang-Mills theory for quark and gluon confinement
• Perturbative Renormalization by Flow Equations
• A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
• Abelian projected SU(2) Yang-Mills action for renormalisation group flows
• Monopole Condensation and Antisymmetric Tensor Fields: Compact QED and the Wilsonian RG Flow in Yang-Mills Theories
• A Confining String Theory Derivable from Yang-Mills Theory due to a Novel Vacuum Condensate
• Solvable Confining Gauge Theories at Large N