6533b85afe1ef96bd12b95cc
RESEARCH PRODUCT
Minimally doubled fermions at one loop
Hartmut WittigS. CapitaniJohannes Webersubject
PhysicsQuarkNuclear and High Energy PhysicsFermion doublingChiral perturbation theoryHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)Lattice field theoryFOS: Physical sciencesFermionRenormalizationHigh Energy Physics - LatticeQuantum electrodynamicsFunctional renormalization groupChiral symmetry breakingMathematical physicsdescription
Minimally doubled fermions have been proposed as a cost-effective realization of chiral symmetry at non-zero lattice spacing. Using lattice perturbation theory at one loop, we study their renormalization properties. Specifically, we investigate the consequences of the breaking of hyper-cubic symmetry, which is a typical feature of this class of fermionic discretizations. Our results for the quark self-energy indicate that the four-momentum undergoes a renormalization which contains a linearly divergent piece. We also compute renormalization factors for quark bilinears, construct the conserved vector and axial-vector currents and verify that at one loop the renormalization factors of the latter are equal to one.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-10-01 | Physics Letters B |