Nonlocal Regularization For Non-Abelian Gauge Theories For Arbitrary Gauge Parameter

Abstract

We study the nonlocal regularization for the non-abelian gauge theories for an arbitrary value of the gauge parameter (ξ). We show that the procedure for the nonlocalization of field theories established earlier by the original authors, when applied in that form to the Faddeev-Popov effective action in a linear gauge cannot lead to a (ξ)-independent result for the observables. We then show that an alternate procedure which is simpler can be used and that it leads to the S-matrix elements (where they exist) independent of (ξ).

21 pages,postscript file

References in corpus (1)

• The condition 0 < Z < 1 and an intrinsic mass scale in Quantum Field Theory

Cited by in corpus (5)

• Causality Violation in Non-local Quantum Field Theory
• Regularization as quantization in reducible representations of CCR
• Nonlocal regularization of abelian models with spontaneous symmetry breaking
• Possible Detection of Causality Violation in a Non-local Scalar Model
• Nonlocal regularisation of noncommutative field theories