Abstract
The gauge dependence of the heat kernel is investigated for the spin- Rarita-Schwinger gauge field on an arbitrary Ricci flat spacetime (d>2) within a one-parameter family of covariant gauges. The differential operator of the heat kernel is non-minimal in these gauges. The gauge-dependent term of the kernel is expressed by the spin- heat kernel. From the expression, it is shown that the axial anomaly and the one-loop divergence of the action are gauge-independent, and that the conformal anomaly in dimensions has a gauge-dependent total derivative term. A prescription is given for removing the gauge dependence of the trace of the energy-momentum tensor.
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