Pauli-Villars Regularization in nonperturbative Hamiltonian approach on the Light Front

The advantage of Pauli-Villars regularization in quantum field theory quantized on the light front is explained. Simple examples of scalar \(\lambda\varphi^4\) field theory and Yukawa-type model are used. We give also an example of nonperturbative calculation in the theory with Pauli-Villars fields,...

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Bibliographic Details
Published in:arXiv.org 2015-04
Main Authors: M Yu Malyshev, Paston, S A, Prokhvatilov, E V, Zubov, R A, Franke, V A
Format: Article
Language:English
Subjects:
Anharmonicity
Field theory
Quantum field theory
Quantum theory
Regularization
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Summary:The advantage of Pauli-Villars regularization in quantum field theory quantized on the light front is explained. Simple examples of scalar \(\lambda\varphi^4\) field theory and Yukawa-type model are used. We give also an example of nonperturbative calculation in the theory with Pauli-Villars fields, using for that a model of anharmonic oscillator modified by inclusion of ghost variables playing the role similar to Pauli-Villars fields.
ISSN:2331-8422
DOI:10.48550/arxiv.1504.07951