2003/12/31 by Gianluca Mandanici, Mandanici, Gianluca
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0312328
Ph.D. Thesis, 107 pages, 15 figures, LaTex
arxiv created 2003/12/31 · arxiv updated 2009/12/01
In this thesis I study various aspects of theories in the two most studied examples of noncommutative spacetimes: canonical spacetime ([xμ,xν]=θμν) and κ-Minkowski spacetime ([xi,t]=κ-1 xi). In the first part of the thesis I consider the description of the propagation of "classical" waves in these spacetimes. In the case of κ-Minkowski this description is rather nontrivial, and its phenomenological implications are rather striking. In the second part of the thesis I examine the structure of quantum field theory in noncommutative spacetime, with emphasis on the simple case of the canonical spacetime. I find that the so-called IR/UV mixing can affect significantly the phase structure of a quantum field theory and also forces us upon a certain revision of the strategies used in particle-physics phenomenology to constrain the parameters of a model.