Date of Award
Doctor of Philosophy (PhD)
A. P. Balachandran
Fuzzy physics, Quantum field theory, Regularization, Noncommutative geometry
Elementary Particles and Fields and String Theory | Physical Sciences and Mathematics | Physics
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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Badis, Ydri Ben Saad, "Fuzzy physics" (2001). Physics - Dissertations. 55.