On some local and global properties of Yang-Mills vacuum Academic Article uri icon

abstract

  • In this paper we use a non-covariant gauge which makes some of the YM features manifest which otherwise do not appear explicitly in the Landau gauge used by Nielsen and Olesen.We show,in fact, that the unstable mode which makes a large contribution to the vacuum energy is non-perturbative even classically. It has been almost 20 years since G.Savvidy, N.K.Nielsen and P.Olesen discovered an unstable mode in the YM vacuum [1]. Many interesting developments have been shaped into attractive physical theories since that time but the nature of the vacuum had not been understood yet and remains one of the puzzles of field and string theories. A note about our notation is in order.We will use the (+ - - -) metric.Three colors will be denoted by the upper indexes (1) (2) (3) for vector fields and by upper indexes 1 2 3 for ghost variables. We will be using the following quantities throughout this paper: A ¯ = A (3) ¯ W ¯ = A (1) ¯ Gamma iA (2) ¯ p 2 D ¯ = @ ¯ Gamma igA ¯ (1) Vacu...

publication date

  • January 1, 1998