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Letters in Mathematical Physics

, Volume 4, Issue 6, pp 515–522 | Cite as

On the structure of gauge invariant classical observables in lattice gauge theories

  • B. Durhuus
Article

Abstract

For a lattice gauge theory a necessary and sufficient condition on the gauge group is stated, which assures that the linear span of products of Wilson loop observables is dense in the space of continuous, gauge invariant functions on the configuration space. Some groups which fulfill this condition are exhibited, among themU(N) andSU(N),N=1, 2, 3, ... Finally we prove that generically it is fulfilled for all connected, compact Lie groups.

Keywords

Statistical Physic Assure Gauge Theory Gauge Group Group Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© D. Reidel Publishing Company 1980

Authors and Affiliations

  • B. Durhuus
    • 1
  1. 1.NorditaCopenhagen ØDenmark

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