Other
Scientific paper
Nov 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phdt.......173l&link_type=abstract
Thesis (PhD). UNIVERSITY OF CALIFORNIA, LOS ANGELES, Source DAI-B 58/10, p. 5457, Apr 1998, 65 pages.
Other
Scientific paper
The conventional field theory in physics is formulated under Minkowski spacetime background, which is geometrically of zero curvature. This dissertation studies the extension to spacetimes of nonzero constant curvature, namely, the anti-de Sitter spacetimes (negative curvature), and the de Sitter spacetimes (positive curvature). A field theory, singleton field theory, on anti-de Sitter spacetime is established, for only anti-de Sitter spacetime assures the vacuum stability and a lower bound for energy. First, we give a Lagrangian and Hamiltonian formulation for the spinor singleton model, and from that, we find that the dynamics of a physical singleton is determined solely by some delicate boundary conditions at spatial infinity of anti-de Sitter spacetime. This means that singleton field theory is a nonlocal field theory. We also proceed to calculate tbe Hamiltonian of the theory, and show that the physical Hamiltonian concentrates only on the boundary at spatial infinity. Singleton field theory is a gauge theory. To obtain a quantum theory of singletons, we give, based upon the Nakanishi-Ojima approach, a BRST formulation for the scalar singletons in four dimensions. This scheme can be applied to spinor models, and to singletons in other spacetime dimensions. The BRST-charge is explicitly calculated, and the nonlocal behavior of singletons is interpreted in terms of the cohomology structure of its energy-momentum tensor. Another interesting aspect of anti-de Sitter spacetime is also discussed. In three dimensional anti-de Sitter spacetime, it allows several inequivalent theories ot quantum electrodynamics. We study the one which carries spin one gauge particles. The theory has the Chern-Simons structure and its classical interaction is nonlocal. The possibility of generating local interaction from quantum anomaly is inspected. The quantum field theory in de Sitter spacetime is also investigated in this dissertation. A special feature of the theory is that here energy does not have a lower bound. According to Nachtmann and Thirring, particles could be generated, and this effect was significant only within the very early universe time scale. We study its cosmology implication by giving an estimate for the particle creation during the inflation period of the universe. The last part of this dissertation is devoted to quantum groups. We study the deformations of quantum gl(n) based on generalized symmetry. In particular, explicit calculations are given for quantum gl(3), and there one finds a very special quantum group which does not have a classical limit in the usual sense. A new set of coordinates is constructed for simplification and the implication is discussed. We adopt /hbar = c = 1 units in this dissertation unless stated otherwise.
No associations
LandOfFree
Singleton field theory and quantum groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Singleton field theory and quantum groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singleton field theory and quantum groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-925992