Universal Journal of Physics and Application Vol. 7(2), pp. 179 - 188
DOI: 10.13189/ujpa.2013.010217
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Quantum-field Theories as Representations of a Single∗-Algebra

A. Raab^*
Hyltans Sjovag 12, 43539 Molnlycke, Sweden

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
Quantum Field Theory, String Theory, Borchers-uhlmann Algebra, Lattice Field Theory, Continuum Limit

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] A. Raab , "Quantum-field Theories as Representations of a Single∗-Algebra," Universal Journal of Physics and Application, Vol. 7, No. 2, pp. 179 - 188, 2013. DOI: 10.13189/ujpa.2013.010217.

(b). APA Format:
A. Raab (2013). Quantum-field Theories as Representations of a Single∗-Algebra. Universal Journal of Physics and Application, 7(2), 179 - 188. DOI: 10.13189/ujpa.2013.010217.