Ambiguities in Pauli–Villars regularization

The European Physical Journal C

R. H. P. Kleiss¹  T. Janssen¹ 

[1] Institute for Mathematics, Astrophysics and Particle Physics, Radboud University Nijmegen, Heyendaalseweg 135, 6525 AJ, Nijmegen, The Netherlands;

关键词: Loop Momentum;    Subtraction Scheme;    Divergent Integral;    Finite Term;    Wavefunction Renormalization;   

DOI  :  10.1140/epjc/s10052-014-3240-5

来源: Springer

【 摘 要 】

We investigate regularization of scalar one-loop integrals in the Pauli–Villars subtraction scheme. The results depend on the number of subtractions, in particular the finite terms that survive after the divergences have been absorbed by renormalization. Therefore the process of Pauli–Villars regularization is ambiguous. We discuss how these ambiguities 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.

【 授权许可】

CC BY