Boundary Operators in Quantum Field Theory
Abstract
The fundamental laws of physics can be derived from the requirement of invariance under suitable classes of transformations on the one hand, and from the need for a well-posed mathematical theory on the other hand. As a part of this programme, the present paper shows under which conditions the introduction of pseudo-differential boundary operators in one-loop Euclidean quantum gravity is compatible both with their invariance under infinitesimal diffeomorphisms and with the requirement of a strongly elliptic theory. Suitable assumptions on the kernel of the boundary operator make it therefore possible to overcome problems resulting from the choice of purely local boundary conditions.
Keywords
Cite
@article{arxiv.hep-th/0001086,
title = {Boundary Operators in Quantum Field Theory},
author = {Giampiero Esposito},
journal= {arXiv preprint arXiv:hep-th/0001086},
year = {2016}
}
Comments
23 pages, plain Tex. The revised version contains a new section, and the presentation has been improved