1301.4090 (T. A. Bolokhov)

Regularization of propagators and logarithms in background field method
in 4 dimensions    [PDF]

T. A. Bolokhov

Determinant and higher loop terms, usually treated with Pauli-Villars and higher covariant derivatives methods, in the background feild method in 4 dimensions can hardly be regularized simultaneously. In the same time we observe, that introduction of a scalar multiplier at the quadratic form, which is equivalent to the change of measure in the functional integral, influence only determinant part of the effective action. This allows to choose the integration measure and the function in the regularized propagator in a way to make finite all the terms in the expansion.

View original: http://arxiv.org/abs/1301.4090