ONE-LOOP DIVERGENCES FOR THE FIELD OF SPIN 3 ON A DE SITTER BACKGROUND IN NONMINIMAL GAUGE

Stepanyants K. V.

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We consider the eld of spin 3 on the de Sitter background in two dimensions and calculate the the divergent part of the one-loop effective action in a nonminimal gauge. For this purpose we construct a simple formula for the b2 coecient of an arbitrary second order differential operator with small nonminimal terms. Using this formula we nd that the divergent part of one-loop effective action for the considered theory is gauge independent.

Keywords: higher spins, Minakshisundaram-De Witt-Seeley coecients, (anti)-de Sitter space

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Issue: 13, 2012

Pages: 130 — 133

Downloads: 854