Renormalization Group Approach to Field Theory

Sen-Ben Liao

Chinese Journal of Physics

32卷6S期（1994 / 12 / 01）

1109 - 1119

英文

Renormalization group flow equations are obtained for both scalar and gauge theories using a manifestly symmetry preserving regularization procedure similar to the proper-time formalism. In our scheme the regularization is achieved by the smooth suppression of the large eigenvalues in the quantum fluctuation determinants. With appropriate choice of the suppression factor this method incorporates the features of a sharp momentum cut-off and renders the calculation finite throughout. The similarity of this cut-off to the Pauli-Villars regulator in the ultraviolet regime is explicitly demonstrated. Our approach can be readily implemented to Yang-Mills theory without spoiling gauge symmetry.