Confinement and fermion doubling problem in Dirac-like Hamiltonians
نویسندگان
چکیده
منابع مشابه
The Fermion Doubling Problem and Noncommutative Geometry
We propose a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its Cartesian products. The nonperturbative formulation of chiral gauge theories is a long standing programme in particle physics. It seems clear that one should regularise these theories with all symmetries intact. There are two major problems associated with conventional lattice a...
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In our previous paper (hep-th/9911087), we proposed a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its cartesian products. In this paper after a review of that work, we bring out its relationship to the Ginsparg-Wilson approach. The nonperturbative formulation of chiral gauge theories is a long standing programme in particle physics. It se...
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In this paper I propose the use of a lattice derivative operator that is equivalent to the ideal SLAC derivative operator in all lattice calculations, but without the prohibitively expensive computational cost of the latter. A pedagogical motivation and derivation of the closed form of the SLAC derivative in position space is presented, and the proposed method for its cost-effective implementat...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2017
ISSN: 2469-9950,2469-9969
DOI: 10.1103/physrevb.96.161113