On the representation of effective quantum field theories
Mathematical Physics
2013-02-19 v4 math.MP
Abstract
We discuss a general model for effective quantum field theories (QFTs), which for example comprises quantum chromodynamics and quantum electrodynamics. We assume in the model a perturbative expansion of the Lagrangian with respect to a cut-off-energy parameter. For each order in the expansion we rigorously derive a representation, which is unitarily equivalent to the representation of the effective QFT in the non-interaction approximation. We interpret the various representations as different particle pictures with respect to which the effective QFT can be described. We further derive a rigorous scattering theory, which exactly reproduces results of formal scattering theory in quantum field theory.
Keywords
Cite
@article{arxiv.math-ph/0702070,
title = {On the representation of effective quantum field theories},
author = {Andreas Raab},
journal= {arXiv preprint arXiv:math-ph/0702070},
year = {2013}
}