A generalization of gauge invariance

We consider perturbative quantum field theory in the causal framework. Gauge invariance is, in this framework, an identity involving chronological products of the interaction Lagrangian; it expresses the fact that the scattering matrix must leave invariant the sub-space of physical states. We are in...

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Bibliographic Details
Published in:Journal of mathematical physics 2017-08, Vol.58 (8), p.1
Main Author: Grigore, Dan-Radu
Format: Article
Language:English
Subjects:
Field theory
Gauge invariance
Invariance
Matrix
Perturbation methods
Perturbation theory
Physics
Quantum field theory
Quantum theory
Scattering
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Summary:We consider perturbative quantum field theory in the causal framework. Gauge invariance is, in this framework, an identity involving chronological products of the interaction Lagrangian; it expresses the fact that the scattering matrix must leave invariant the sub-space of physical states. We are interested in generalizations of such identity involving Wick sub-monomials of the interaction Lagrangian. The analysis can be performed by direct computation in the lower orders of perturbation theory; guided by these computations, we conjecture a generalization for arbitrary orders.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4999845