Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields

Details Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields

2008-04-03

arxiv.org/abs/0804.0522v3

SIGMA 4:061,2008

Physics

High Energy Physics

High Energy Physics - Theory

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2008.061

This review is devoted to the Schwinger and Fronsdal theory of Abelian tensor gauge fields. The theory describes the propagation of free massless gauge bosons of integer helicities and their interaction with external currents. Self-consistency of its equations requires only the traceless part of the current divergence to vanish. The essence of the theory is given by the fact that this weaker current conservation is enough to guarantee the unitarity of the theory. Physically this means that only waves with transverse polarizations are propagating very far from the sources. The question whether such currents exist should be answered by a fully interacting theory. We also suggest an equivalent representation of the corresponding action.

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