Field redefinition invariant Lagrange multiplier formalism
arXiv:2212.05629 · doi:10.1016/j.aop.2023.169323
Abstract
In this paper, we propose a field redefinition invariant Lagrange multiplier (LM) formalism in which new ghost-like fields, analogous to Lee-Yang ghosts, are introduced. These ghost fields are required to restore the field redefinition invariance of the standard path integral of the LM theory and, at the same time, to cancel the additional contributions due to the LM fields. We argue that the extra degrees of freedom in the standard LM formalism, coming from the LM fields, should cancel against the degrees of freedom of the ghost fields. Hence, in the field redefinition invariant formalism the doubling of degrees of freedom, associated with the LM fields, is absent.
arXiv comment16 pages, 8 figures. Typos corrected, added two new references. To appear in Annals of Physics
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Cited by in corpus (5)
- Renormalization of the Einstein-Cartan Theory in First-Order Form
- Field redefinition invariant Lagrange multiplier formalism with gauge symmetries
- Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity
- A Renormalizable Model of Quantized Gravitational and Matter Fields
- Thermal quantum gravity in a general background gauge