Quantum-field theories as representations of a single $^\ast$-algebra
Mathematical Physics
2013-10-22 v2 math.MP
Abstract
We show that many well-known quantum field theories emerge as representations of a single -algebra. These include free quantum field theories in flat and curved space-times, lattice quantum field theories, Wightman quantum field theories, and string theories. We prove that such theories can be approximated on lattices, and we give a rigorous definition of the continuum limit of lattice quantum field theories.
Keywords
Cite
@article{arxiv.1302.4057,
title = {Quantum-field theories as representations of a single $^\ast$-algebra},
author = {Andreas Raab},
journal= {arXiv preprint arXiv:1302.4057},
year = {2013}
}