Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization

Details Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization

2008-04-08

arxiv.org/abs/0804.1211v1

Nucl.Phys.B803:405-427,2008

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, latex

Scientific paper

10.1016/j.nuclphysb.2008.06.008

The ultraviolet singular structure of the bulk-to-bulk propagators for higher spin gauge fields in $AdS_{4}$ space is analyzed in details. Possible interactions with the Higgs scalar and the corresponding one loop mass renormalization are studied. This mass renormalization is finite and connected with the anomalous dimensions of those currents in the corresponding boundary $CFT_{3}$ that cease to be conserved when the interaction is switched on. In particular it is proportional to $\ell-2$.

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