Fermion doubling problem and noncommutative geometry II
A. P. Balachandran, T. R. Govindarajan, B. Ydri
TL;DR
This paper discusses a solution to the fermion doubling problem in discrete field theories using fuzzy spheres, relating it to the Ginsparg-Wilson approach, and builds upon previous work to clarify its effectiveness.
Contribution
It extends prior research by connecting fuzzy sphere methods to the Ginsparg-Wilson approach for resolving fermion doubling.
Findings
Established relationship between fuzzy sphere approach and Ginsparg-Wilson approach
Reviewed previous solution to fermion doubling problem
Clarified the effectiveness of fuzzy sphere-based methods
Abstract
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.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Noncommutative and Quantum Gravity Theories · Finite Group Theory Research