Condensate $⟨A_{\mu }^{+}{A}_{\mu }^{-}⟩$ and massive magnetic potential in Euclidean gauge theories

Abstract

Euclidean $SU(2)$ gauge theory is studied in a nonlinear gauge. In this theory, ghost condensation happens and gauge fields acquire tachyonic masses. It is shown that these tachyonic masses are removed by a gauge field condensate $⟨A_{\mu }^{+}{A}_{\mu }^{-}⟩$. Because of the ghost condensation, monopole solutions are included naturally. We find the condensate $⟨A_{\mu }^{+}{A}_{\mu }^{-}⟩$ makes the magnetic potential massive.

To appear in Progress of Theoretical and Experimental Physics

References in corpus (2)

• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Exploring dynamical gluon mass generation in three dimensions