Perturbative renormalization in parton distribution functions using Overlap fermions and Symanzik improved gluons
arXiv:hep-lat/0601020 · doi:10.1103/PhysRevD.73.054507
Abstract
We calculate the 1-loop renormalization of the fermion self-energy, all local fermion bilinears, as well as a set of extended bilinears which form a basis corresponding to moments of the parton distribution functions. We use the overlap action for fermions and Symanzik improved action for gluons. Our results are presented as a function of the overlap parameter rho and the parameters entering the Symanzik action.
14 pages, 10 figures, 7 tables. v2: Expanded introduction, further description of the calculation, adjusted notation, no changes in results. Version accepted in Physical Review D
References in corpus (9)
- Exactly massless quarks on the lattice
- More about exactly massless quarks on the lattice
- Lattice QCD on Small Computers
- Improving the Chiral Properties of Lattice Fermions
- Lattice QCD with the Overlap-Dirac Operator: Its Parameter, and One-Loop Renormalization of Fermionic Currents
- One-loop renormalization of fermionic currents with the overlap-Dirac operator
- Perturbative renormalization of the first two moments of non-singlet quark distributions with overlap fermions
- Additive and multiplicative renormalization of topological charge with improved gluon/fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions
- Renormalisation of one-link quark operators for overlap fermions with Lüscher-Weisz gauge action
Cited by in corpus (6)
- O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
- Improved Perturbation Theory for Improved Lattice Actions
- QCD with overlap fermions: Running coupling and the 3-loop beta-function
- Propagators on One-Loop Worldsheets for Orientifolds and Intersecting Branes
- Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loop beta-function
- Perturbative chiral violations for domain-wall QCD with improved gauge actions