Boundary Operators in Quantum Field Theory

Details Boundary Operators in Quantum Field Theory Boundary Operators in Quantum Field Theory

2000-01-14

arxiv.org/abs/hep-th/0001086v2

Int.J.Mod.Phys. A15 (2000) 4539-4555

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, plain Tex. The revised version contains a new section, and the presentation has been improved

Scientific paper

10.1142/S0217751X00002066

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.

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