Journal article

Divergence-free quantum electrodynamics in locally conformally flat space-time

John Mashford

International Journal of Modern Physics A: particles and fields; gravitation; cosmology; nuclear physics | World Scientific Publishing | Published : 2021

Abstract

This paper describes an approach to quantum electrodynamics (QED) in curved space–time obtained by considering infinite-dimensional algebra bundles associated to a natural principal bundle Q associated with any locally conformally flat space–time, with typical fibers including the Fock space and a space of fermionic multiparticle states which forms a Grassmann algebra. Both these algebras are direct sums of generalized Hilbert spaces. The requirement of K covariance associated with the geometry of space–time, where K is the structure group of Q, leads to the consideration of K intertwining operators between various spaces. Scattering processes are associated with such operators and are encod..

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University of Melbourne Researchers

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Funding Acknowledgements

The work described in this paper was supported by Melbourne University and the Commonwealth Scientific and Industrial Research Organisation (CSIRO, Australia). The author is grateful to Iain Aitchison for helpful discussions and Vladimir Yerokhin and Randolf Pohl for helpful comments. The author is also grateful to an anonymous reviewer for a number of helpful comments which have resulted in an improved paper.