Search for Fermion Actions on Hyperdiamond Lattices

Details Search for Fermion Actions on Hyperdiamond Lattices Search for Fermion Actions on Hyperdiamond Lattices

2008-04-08

arxiv.org/abs/0804.1145v1

Phys.Rev.D78:017502,2008

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 1 figure

Scientific paper

10.1103/PhysRevD.78.017502

Fermions moving in a two-dimensional honeycomb lattice (graphene) have, at low energies, chiral symmetry. Generalizing this construction to four dimensions potentially provides fermions with chiral symmetry and only the minimal fermion doubling demanded by the Nielsen-Ninomiya no-go theorem. The practical usefulness of such fermions hinges on whether the action has a necessary set of discrete symmetries of the lattice. If this is the case, one avoids the generation of dimension three and four operators which require fine tuning. We construct hyperdiamond lattice actions with enough symmetries to exclude fine tuning; however, they produce multiple doublings. The limit where the actions exhibit minimal doubling does not possess the requisite symmetry.

Affiliated with

Also associated with

No associations

Rating

Search for Fermion Actions on Hyperdiamond Lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Search for Fermion Actions on Hyperdiamond Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Search for Fermion Actions on Hyperdiamond Lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539691