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Phys. Rev. D 33, 1018–1026 (1986)

Gauge invariance of the one-loop effective potential in Md≥1 Kaluza-Klein theory

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G. Kunstatter
Center for Theoretical Physics and Department of Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

H. C. Lee
Theoretical Physics Branch, Atomic Energy of Canada, Ltd., Chalk River Nuclear Laboratory, Chalk River, Ontario, Canada K0J1J0

H. P. Leivo
Physics Department, University of Toronto, Toronto, Ontario, Canada M5S1A7

Received 24 June 1985; published in the issue dated 15 February 1986

By adjusting the Weyl factor in (d+1)-dimensional Kaluza-Klein theory, we obtain a one-parameter family of gauges which give rise to propagating, massive ghosts in the compactified theory on Md×S1. We calculate the one-loop Casimir energy of this vacuum for all values of the gauge parameter S and arbitrary noncompact ‘‘space-time’’ dimension d. As expected, the result is independent of S and coincides with those previously obtained in other gauges. Our calculation confirms recent formal proofs due to Cohler and Chodos and Yasuda concerning the gauge independence of the graviton one-loop effective potential.

© 1986 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.33.1018
DOI:
10.1103/PhysRevD.33.1018
PACS:
11.10.Kk, 02.40.+m, 11.15.-q, 12.10.Gq
 
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