| viXra.org > Mathematical Physics > viXra:2305.0182 |
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| viXra.org > Mathematical Physics > viXra:2305.0182 |
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Mathematical Physics |
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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 except Lorentz covariance. We prove that the λ(φ^2n )_4,n≥2 quantum field theory models are Lorentz covariantJaykov Foukzon 2024J. Phys.: Conf. Ser. 2701 012113doi:10.1088/1742-6596/2701/1/012113
Comments: 48 Pages. doi:10.1088/1742-6596/2701/1/012113
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