1997/12/04 by E.S. Fradkin, E. S. Fradkin, Fradkin, E. S. +3
Earth and Planetary Sciences · Physics and Astronomy · #Earthquake Detection and Analysis #Electromagnetic Scattering and Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum and Classical Electrodynamics #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9712045
39 pages, LaTeX file
arxiv created 1997/12/04 · openalex publication_date 1997/12/04 · arxiv updated 2009/11/30 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
We study the conformally invariant quantum field theory in spaces of even dimension D >= 4. The conformal transformations of current jμand energy-momentum tensor Tμν are examined. It is shown that the set of conformal transformations of particular kind corresponds to the canonical (unlike anomalous) dimensions lj=D-1 and lT=D of those fields. These transformations cannot be derived by a smooth transiton from anomalous dimensions. The structure of representations of the conformal group, which correspond to these canonical dimensions, is analyzed, and new expressions for the propagators < jμjν> and < Tμν Tρσ> are derived. The latter expressions have integrable singularities. It is shown that both propagators satisfy non-trivial Ward identities. The higher Green functions of the fields jμand Tμν are considered. The conformal QED and linear conformal gravity are discussed. We obtain the expressions for invariant propagators of electromagnetic and gravitational fields. The integrations over internal photon and graviton lines are performed. The integrals are shown to be conformally invariant and convergent, provided that the new expressions for the propagators are used.