Ambiguities in Pauli-Villars regularization

Abstract

We investigate regularization of scalar one-loop integrals in the Pauli- Villars subtraction scheme. The results depend on the number of sub- tractions, in particular the finite terms that survive after the diver- gences have been absorbed by renormalization. Therefore the process of Pauli-Villars regularization is ambiguous. We discuss how these am- biguities may be resolved by applying an asymptotically large number of subtractions, which results in a regularization that is automatically valid in any number of dimensions.

arXiv comment7 pages, 2 figures

References in corpus (4)

• The mass renormalization of nonperturbative light-front Hamiltonian theory: An illustration using truncated, Pauli-Villars-regulated Yukawa interactions
• Two-boson truncation of Pauli-Villars-regulated Yukawa theory
• Exact solutions to Pauli-Villars-regulated field theories
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Cited by in corpus (2)

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