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

preprint2015arXivOpen access

Abstract

The advantage of Pauli-Villars regularization in quantum field theory quantized on the light front is explained. Simple examples of scalar λφ4λφ^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.

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