publication . Preprint . 2013

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

Raab, Andreas;
Open Access English
  • Published: 17 Feb 2013
Abstract
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.
Subjects
free text keywords: Mathematical Physics
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