https://doi.org/10.1140/epjc/s10052-024-12764-z
Regular Article - Theoretical Physics
Field redefinition invariant Lagrange multiplier formalism with gauge symmetries
1
Department of Applied Mathematics, The University of Western Ontario, N6A 5B7, London, ON, Canada
2
Department of Mathematics and Computer Science, Algoma University, P6A 2G4, Sault Ste. Marie, ON, Canada
3
Instituto de Física, Universidade de São Paulo, 05508-090, São Paulo, SP, Brazil
Received:
5
February
2024
Accepted:
4
April
2024
Published online:
17
April
2024
It has been shown that by using a Lagrange multiplier field to ensure that the classical equations of motion are satisfied, radiative effects beyond one-loop order are eliminated. It has also been shown that through the contribution of some additional ghost fields, the effective action becomes form invariant under a redefinition of field variables, and furthermore, the usual one-loop results coincide with the quantum corrections obtained from this effective action. In this paper, we consider the consequences of a gauge invariance being present in the classical action. The resulting gauge transformations for the Lagrange multiplier field as well as for the additional ghost fields are found. These gauge transformations result in a set of Faddeev–Popov ghost fields arising in the effective action. If the gauge algebra is closed, we find the Becci–Rouet–Stora–Tyutin (BRST) transformations that leave the effective action invariant.
© The Author(s) 2024
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