Generalized Tomonaga-Schwinger equation from the Hadamard formula

Details Generalized Tomonaga-Schwinger equation from the Hadamard formula Generalized Tomonaga-Schwinger equation from the Hadamard formula

2004-05-02

arxiv.org/abs/gr-qc/0405006v1

Phys.Rev. D70 (2004) 064037

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures

Scientific paper

10.1103/PhysRevD.70.064037

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.

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