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arXiv · 1302.4057

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

Andreas Raab
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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.

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Andreas Raab. 2013-10-19. Quantum-field theories as representations of a single $^\ast$-algebra. https://doi.org/10.13189/ujpa.2013.010217

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