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The conformally invariant vector field on $R \times S^3$

Zurab Ratiani
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Abstract

In this diploma thesis vector field is constructed on $R \times S^3$. 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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Zurab Ratiani. 2005-01-28. The conformally invariant vector field on $R \times S^3$. https://arxiv.org/abs/hep-th/0501230

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