Field redefinition invariant Lagrange multiplier formalism

In this paper, we propose a field redefinition invariant Lagrange multiplier (LM) formalism in which new ghost-like fields, anal-ogous 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 redef-inition invariant formalism the doubling of degrees of freedom, associated with the LM fields, is absent.& COPY; 2023 Elsevier Inc. All rights reserved.

Automated summary

In this paper, a field redefinition invariant Lagrange multiplier (LM) formalism is proposed, in which new ghost-like fields, analogous to Lee-Yang ghosts, are introduced. These ghost fields are introduced to restore the field redefinition invariance of the standard path integral of the LM theory and cancel out the additional contributions from the LM fields. It is argued that the doubling of degrees of freedom, associated with the LM fields, is absent in the field redefinition invariant formalism.