The "DUAL" variables of yang-mills theory and local gauge-invariant variables

Ori Ganor*, J. Sonnenschein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

After adding auxiliary fields and integrating out the original variables, the Yang-Mills action can be expressed in terms of local gauge-invariant variables. This method reproduces the known solution of the two-dimensional SU(N) theory. In more than two dimensions the action splits into a topological part and a part proportional to αs. We demonstrate the procedure for SU(2) in three dimensions where we reproduce a gravity-like theory. We discuss the four-dimensional case as well. We use a cubic expression in the fields as a space-time metric to obtain a covariant Lagrangian. We also show how the four-dimensional SU(2) theory can be expressed in terms of a local action with six degrees of freedom only.

Original languageEnglish
Pages (from-to)5701-5728
Number of pages28
JournalInternational Journal of Modern Physics A
Volume11
Issue number32
DOIs
StatePublished - 1996

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