C*-algebraic approach to interacting quantum field theory: inclusion of Fermi fields

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Abstract

We extend the C*-algebraic approach to interacting quantum field theory, proposed recently by Detlev Buchholz and one of us (KF) to Fermi fields. The crucial feature of our approach is the use of auxiliary Grassmann variables in a functorial way.

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Brunetti, R., Dütsch, M., Fredenhagen, K., & Rejzner, K. (2022). C*-algebraic approach to interacting quantum field theory: inclusion of Fermi fields. Letters in Mathematical Physics, 112(5). https://doi.org/10.1007/s11005-022-01590-7

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