Renormalization using Domain Wall Regularization

We formulate the renormalization procedure using the domain wall regularization which is based on the heat-kernel method. The Weyl anomalies for the 2D QED and 4D QED are correctly reproduced. It is found that the “chiral solution” produces (1/2) × correct vales, where d is the space dimension. The renormalization procedure is newly formulated, where both fermions and bosons (gauge fields) are treated on the equal footing. The background field method is quite naturally introduced. As for the treatment about the loop-momentum integrals, an interesting contrast between the fermion-determinant part and others is revealed. As explicit examples, the mass and wave function renormalization of 4D QED are obtained at 1loop. We confirm the multiplicative normalization (not additive one), which shows the advantage of no fine-tuning. 1 On leave of absence from Department of Physics, University of Shizuoka, Yada 52-1, Shizuoka 422-8526, Japan (Address after Nov.23, 1998). E-mail address: [email protected]