Title

Fuzzy physics

Date of Award

2001

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Physics

Advisor(s)

A. P. Balachandran

Keywords

Fuzzy physics, Quantum field theory, Regularization, Noncommutative geometry

Subject Categories

Elementary Particles and Fields and String Theory | Physical Sciences and Mathematics | Physics

Abstract

Regularization of quantum field theories (QFT's) can be achieved by quantizing the underlying manifold (spacetime or spatial slice) thereby replacing it by a non-commutative matrix model or a "fuzzy manifold'. Such discretization by quantization is remarkably successful in preserving symmetries and topological features, and altogether overcoming the fermion-doubling problem. In this thesis, the fuzzification of coadjoint orbits and their QFT's are put forward.

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