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Volume 72B, number 2 PHYSICS LETTERS 19 December 1977 STRUCTURE OF THE YANG-MILLS VACUUM IN THE COULOMB GAUGE*
 

Summary: Volume 72B, number 2 PHYSICS LETTERS 19 December 1977
STRUCTURE OF THE YANG-MILLS VACUUM IN THE COULOMB GAUGE*
L.F. ABBOTT and Thoru EGUCHI
Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94305, USA
Received 17 October 1977
The non-uniqueness of Yang-MiUs potential in the Coulomb gauge leads to a non-trivialvacuum structure featuring
vacuum fields of both integer and half-integer topologicalcharge, lnstantons fit in consistently with this picture and
their interpretation is not changed. Integer and half-integer vacua are connected by certain meron solutions and the
existence of half-integer charged states appears to be important for the confinement properties of the theory.
The discovery of instanton solutions to the Yang-
Mills field equations [1 ] has revealed an interesting
structure of the Yang-Mills vacuum [2]. This vacu-
um structure is most easily seen in the A0 = 0 gauge
[2] and arises from the non-uniqueness of vacuum-
field potentials in this gauge. More recently, Gribov
[3] has pointed out that non-uniqueness of Yang-
Mills potential occurs even in the more restrictive
Coulomb gauge, a so-called physical gauge. In this
note, we study the Yang-Mills vacuum in the Cou-
lomb gauge and find that Gribov's non-uniqueness

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine