Heat Kernel for Spin-3/2 Rarita-Schwinger Field in General Covariant Gauge

Details Heat Kernel for Spin-3/2 Rarita-Schwinger Field in General Covariant Gauge Heat Kernel for Spin-3/2 Rarita-Schwinger Field in General Covariant Gauge

1994-07-05

arxiv.org/abs/hep-th/9407019v1

Class.Quant.Grav.12:1157-1164,1995

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, ITP-SB-94-31

Scientific paper

10.1088/0264-9381/12/5/007

The heat kernel for the spin-3/2 Rarita-Schwinger gauge field on an arbitrary Ricci flat space-time ($d>2$) is investigated in a family of covariant gauges with one gauge parameter $\alpha$. The $\alpha$-dependent term of the kernel is expressed by the spin-1/2 heat kernel. It is shown that the axial anomaly and the one-loop divegence of the action are $\alpha$-independent, and that the conformal anomaly has an $\alpha$-dependent total derivative term in $d=2m\geq6$ dimensions.

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