%0 Journal Article %1 Rabin1982315 %A Rabin, Jeffrey M. %D 1982 %J Nuclear Physics B %K Lattice NielsonNinomiya chiralSymmetry %N 2 %P 315 - 332 %R DOI: 10.1016/0550-3213(82)90434-5 %T Homology theory of lattice fermion doubling %U http://www.sciencedirect.com/science/article/B6TVC-4719HDH-9H/2/bc6e6bc813a1eaa7a4bba5d5d80b57d1 %V 201 %X I give a general discussion of the phenomenon of spectrum degeneracy in transcribing continuum field equations to the lattice, using concepts of homology theory. This leads to a topological understanding of the problems in transcribing the Dirac equation and a unified treatment of the many lattice fermion schemes in the literature. The connection between spectrum degeneracy and chiral symmetry is explained geometrically without appealing to quantum effects such as anomalies.

@article{Rabin1982315, abstract = {I give a general discussion of the phenomenon of spectrum degeneracy in transcribing continuum field equations to the lattice, using concepts of homology theory. This leads to a topological understanding of the problems in transcribing the Dirac equation and a unified treatment of the many lattice fermion schemes in the literature. The connection between spectrum degeneracy and chiral symmetry is explained geometrically without appealing to quantum effects such as anomalies.}, added-at = {2009-04-25T20:07:33.000+0200}, author = {Rabin, Jeffrey M.}, biburl = {https://www.bibsonomy.org/bibtex/2c761ebbe02f8fcc60271ad18587ea9bf/gber}, description = {ScienceDirect - Nuclear Physics B : Homology theory of lattice fermion doubling*1}, doi = {DOI: 10.1016/0550-3213(82)90434-5}, interhash = {9bf49f63ea1f330e0eedcedf7314c813}, intrahash = {c761ebbe02f8fcc60271ad18587ea9bf}, issn = {0550-3213}, journal = {Nuclear Physics B}, keywords = {Lattice NielsonNinomiya chiralSymmetry}, number = 2, pages = {315 - 332}, timestamp = {2009-04-25T20:07:33.000+0200}, title = {Homology theory of lattice fermion doubling}, url = {http://www.sciencedirect.com/science/article/B6TVC-4719HDH-9H/2/bc6e6bc813a1eaa7a4bba5d5d80b57d1}, volume = 201, year = 1982 }