ar X iv : h ep - t h / 99 11 07 9 v 4 2 2 M ay 2 00 2 1 Renormalization using Domain Wall Regularization

ar X iv : h ep - t h / 96 05 13 9 v 1 2 1 M ay 1 99 6 Differential Renormalization of QCD in the Background - Field Method

A short outline is given on the application of differential regularization to QCD in the background-field method. The derivation of the propagators in the background gluon field as short-distance expansions is described and the renormalization of the theory is mentioned.

ar X iv : h ep - t h / 03 05 16 7 v 1 2 0 M ay 2 00 3 Wavelet based regularization for Euclidean field theory ∗

It is shown that Euclidean field theory with polynomial interaction , can be regularized using the wavelet representation of the fields. The connections between wavelet based regularization and stochastic quantization are considered.

ar X iv : h ep - p h / 04 05 11 9 v 1 1 3 M ay 2 00 4 The Lorentz and CPT violating effects on the charged

ar X iv : h ep - t h / 96 12 11 1 v 2 1 1 M ay 1 99 9 The antiferromagnetic φ 4 Model , II . The one - loop renormalization

It is shown that the four dimensional antiferromagnetic lattice φ4 model has the usual non-asymptotically free scaling law in the UV regime around the chiral symmetrical critical point. The theory describes a scalar and a pseudoscalar particle. A continuum effective theory is derived for low energies. A possibility of constructing a model with a single chiral boson is mentioned.

ar X iv : h ep - p h / 99 05 53 4 v 1 2 8 M ay 1 99 9 1 Renormalization group improved

The calculation of next-to-leading log x corrections to the BFKL equation was completed last year [ 1, 2] after several years of theoretical effort. The results, for both anomalous dimension and hard Pomeron, show however signs of instability due to both the size and the (negative) sign of corrections, possibly leading to problems with positivity also [ 3]. If we write the eigenvalue equation c...