International Journal of Theoretical Physics

, Volume 46, Issue 1, pp 143–148 | Cite as

On the Evaluation of the Evolution Operator Z Reg(R 2,R 1) in the Diakonov–Petrov Approach to the Wilson Loop



We evaluate the evolution operator Z Reg(R 2,R 1) introduced by Diakonov and Petrov for the definition of the Wilson loop in terms of a path integral over gauge degrees of freedom. We use the procedure suggested by Diakonov and Petrov (Physics Letters B 224 (1989) 131) and show that the evolution operator vanishes.


path integral Wilson loop gauge theory 


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  1. Dyakonov, D. I. and Petrov, V. Yu. (1989). Physics Letters B 224, 131.CrossRefADSGoogle Scholar
  2. Faber, M., Ivanov, A. N., Troitskaya, N. I., and Zach, M. (2000). Physical Review D 62, 025019.CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Atominstitut der Österreichischen UniversitätenTechnische Universität WienWienÖsterreich
  2. 2.Department of Nuclear PhysicsState Technical UniversitySt. PetersburgRussian Federation

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