1302.4057 (Andreas Raab)

Quantum-field theories as representations of a single $^\ast$-algebra    [PDF]

Andreas Raab

We show that many well-known quantum field theories emerge as representations of a single $^\ast$-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.

View original: http://arxiv.org/abs/1302.4057