One-loop hybrid renormalization matching kernels for quasiparton distributions

Partonic Distributions for Large X and Renormalization of Wilson Loop *

We discuss the relation between partonic distributions near the phase space boundary and Wilson loop expectation values calculated along paths partially lying on the light-cone. Due to additional light-cone singularities, multiplicative renormalizability for these expectation values is lost. Nevertheless we establish the renormalization group equation for the light like Wilson loops and show th...

One Loop Renormalization of Fermilab Fermions

The series here is an expansion in the dimensionality of the various operators. Each of these terms comes with a new coupling constant cn. In order to use this type of action we must do two things, we must truncate the series at some specified order in n and we must calculate the new couplings somehow. Fixing the new couplings can be done in a number of ways, for example, the first step could b...

Two loop divergences studied with one loop Constrained Differential Renormalization

In the context of Differential Renormalization, using Constrained Differential Renormalization rules at one loop, we show how to obtain concrete results in two loop calculations without making use of Ward identities. In order to do that, we obtain a list of integrals with overlapping divergences compatible with CDR that can be applied to various two loop background field calculations. As an exa...

Matching the quasiparton distribution in a momentum subtraction scheme

One-loop Renormalization of the Qcd Schrr Odinger Functional

In a previous publication, we have constructed the Schrr odinger functional in Wil-son's lattice QCD. It was found that the naive continuum limit leads to a well-deened classical continuum theory. Starting from the latter, a formal continuum deenition of the Schrr odinger functional is given and its saddle point expansion is carried out to one-loop order of perturbation theory. Dimensional regu...