We analyze the doubling problem for chiral fermions on a hypercubic lattice. We prove that hermitian and cubic invariant chiral Lagrangians always show spectrum doubling, even in the presence of non-local interactions. thus extending the previous theorem of Nielsen and Ninomiya. In the presence of
โฆ LIBER โฆ
More chiral lattice fermions
โ Scribed by Werner Kerler
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 222 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0920-5632
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โฆ Synopsis
Instead of the Ginsparg-Wilson relation only generalized chiral symmetry is required. The resulting much larger class of Dirac operators for massless fermions is investigated and a general construction for them is given. It is also shown that the new class still leads properly to Weyl fermions and to chiral gauge theories.
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