Mathematical Physics

    

Model P(φ)_4 Quantum Field Theory. A Nonstandard Approach Based on Nonstandard Pointwise-Defined Quantum Fields

Authors: Jaykov Foukzon

A new non-Archimedean approach to interacted quantum fields is presented. In proposed approach, a field operator ϕ(x,t) no longer a standard tempered operator-valued distribution, but a non-classical operator-valued function. We prove using this novel approach that the quantum field theory with Hamiltonian P(φ)_4 exists and that the corresponding C^*­ algebra of bounded observables satisfies all the Haag-Kastler axioms. In particular we prove that the λ(φ^4 )_4 quantum field theory model is Lorentz covariant.

Comments: 122 Pages. AIP Conf. Proc. 2872, 060028 (2023) https://doi.org/10.1063/5.0162832

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Submission history

[v1] 2022-07-10 22:16:33
[v2] 2022-09-02 06:35:25
[v3] 2023-02-13 03:22:53

Unique-IP document downloads: 384 times

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