Deriving Z[J] from the time evolution operator
Quantum Physics
2014-06-03 v1
Abstract
An important quantity in quantum field theory is the vacuum-to-vacuum transition amplitude in the presence of an external source. This quantity is often designated by Z[J] and is the generator for the n-point Greens functions. In textbooks Z[J] is often derived using a path integral formulation, however it will be shown here that it is possible to derive Z[J] directly from the time evolution operator without using the path integral formulation.
Cite
@article{arxiv.1406.0457,
title = {Deriving Z[J] from the time evolution operator},
author = {Dan Solomon},
journal= {arXiv preprint arXiv:1406.0457},
year = {2014}
}
Comments
18 pages