Gauge-invariant and covariant operators in gauge theories. (English) Zbl 0717.53069
The Euler-Lagrange-type operators that are not necessarily derivable from a variational principle are studied. The formula for the Lie derivative of E-L operators, called master equation, is established. This formula consists of two terms, the vanishing of one of them refers to the condition that the operator under consideration is variational, the vanishing of the other refers to the conservation law. A relationship between the gauge invariance of locally variational operators and the charge conservation identity is established. A sufficient condition for the locally variational and gauge-invariant E-L operators to be generally covariant is derived.
Reviewer: P.Maslanka
MSC:
| 53C80 | Applications of global differential geometry to the sciences |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 49S05 | Variational principles of physics |
Keywords:
variational principle; general covariance; Euler-Lagrange-type operators; Lie derivative; master equation; conservation law; gauge invarianceReferences:
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