Geodesic
Equation for one-loop divergences in two dimensions and its
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 505-518

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We derive a simple formula for one-loop logarithmic divergences on the background of a two-dimensional curved space–time for theories in which the second variation of the action is a nonminimal second-order operator with small nonminimal terms. In particular, this formula allows calculating terms that are integrals of total derivatives. As an application of the result, we obtain one-loop divergences for higher-spin fields on a constant-curvature background in a nonminimal gauge that depends on two parameters. By an explicit calculation, we demonstrate that with the considered accuracy, the result is gauge independent and, moreover, spin independent for spins $s\ge3$.
Mots-clés : one-loop divergence
Keywords: higher-spin field. 
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E. P. Popova; K. V. Stepanyantz. Equation for one-loop divergences in two dimensions and its. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 505-518. http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a6/