A0 condensation, Nielsen's identity and effective potential of order parameter
Abstract
In high temperature SU(2) gluodynamics, the condensation of the zero component gauge field potential A0 =const and its gauge-fixing dependence are investigated. A0 is mutually related with Polyakov's loop <L>. The two-loop effective potential W(A0,xi) is recalculated in the background relativistic Rxi gauge. It depends on the parameter xi, has a nontrivial minimum and satisfies Nielsen's identity. These signs mean gauge invariance of the condensation phenomenon. Following the idea of Belyaev, we express W(A0,xi) in terms of <L>. The obtained effective potential of order parameter differs from that derived by this author. It is independent of xi and has a nontrivial minimum position. Hence the A0 condensation follows. We show that the equation relating A0 and (A0)|(classical) coincides with the special characteristic orbit in the (A)$-plain along which the W(A0,xi) is xi-independent. In this way the link between these two gauge invariant descriptions is established. The minimum value of the Polyakov loop is calculated. Comparison with results of other authors is given.
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.