3-Cocycles and the Operator Product Expansion
Javier P. Muniain, Jose Wudka
TL;DR
This paper investigates the failure of the Jacobi identity in non-Abelian gauge theories, using a non-perturbative approach that combines operator product expansion and a generalized Bjorken-Johnson-Low limit to analyze 3-cocycles.
Contribution
It introduces a non-perturbative method to compute anomalous contributions to the Jacobi identity involving chromo-electric fields and vector currents.
Findings
Identifies anomalous contributions causing Jacobi identity failure
Calculates 3-cocycles associated with non-Abelian gauge fields
Provides insights into non-perturbative effects in gauge theories
Abstract
Anomalous contributions to the Jacobi identity of chromo-electric fields and non-Abelian vector currents are calculated using a non-perturbative approach that combines operator product expansion and a generalization of Bjorken-Johnson-Low limit. The failure of the Jacobi identity and the associated 3-cocycles are discussed.
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