Generalized Tomonaga-Schwinger equation from the Hadamard formula
General Relativity and Quantum Cosmology
2009-11-10 v1
Abstract
A generalized Tomonaga--Schwinger equation, holding on the entire boundary of a {\em finite} spacetime region, has recently been considered as a tool for studying particle scattering amplitudes in background-independent quantum field theory. The equation has been derived using lattice techniques under assumptions on the existence of the continuum limit. Here I show that in the context of continuous euclidean field theory the equation can be directly derived from the functional integral formalism, using a technique based on Hadamard's formula for the variation of the propagator.
Keywords
Cite
@article{arxiv.gr-qc/0405006,
title = {Generalized Tomonaga-Schwinger equation from the Hadamard formula},
author = {Luisa Doplicher},
journal= {arXiv preprint arXiv:gr-qc/0405006},
year = {2009}
}
Comments
11 pages, no figures