The conformally invariant vector field on R × S³

2005/01/28 by Zurab Ratiani, Ratiani, Zurab
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0501230

50 pages, Diploma thesis

arxiv created 2005/01/28 · arxiv updated 2009/12/01

Abstract

In this diploma thesis vector field is constructed on R × S³. The free lagrangian on the curved space is invariant under conformal transformations of the dynamical field A_m(x). The gauge fixing term is not conformally invariant, but it is invariant under Poincare transformations of the fields A_m(x). Propagator quantisation is carried out. The energy spectrum of the physical subspace is analogous to the spectrum of flat quantum field theory.

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