Dimensional Regularization of Massless Theories in Spherical Space-Time

Drummond, I.T.

doi:10.1016/0550-3213(75)90089-9

Dimensional Regularization of Massless Theories in Spherical Space-Time

I.T. Drummond
(
- CERN
)

Mar, 1975

30 pages

Published in:

Nucl.Phys.B 94 (1975) 115-144

Published: 1975

DOI:

10.1016/0550-3213(75)90089-9

Report number:

CERN-TH-1988

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Abstract: (Elsevier)

The use of space-time curvature as an infra-red cut-off has been suggested for massless theories. In this paper we investigate the renormalization of massless theories in a spherical space-time (Euclidean version of de Sitter space) using dimensional regularization. Naive expectations are confirmed, namely that the coupling constant and wave-function renormalizations are independent of the curvature. Furthermore the curvature does not induce divergent mass terms or vacuum field values as would be possible on purely dimensional grounds. Although we have investigated only scalar field theories, φ 4 theory in four dimensions and φ 3 theory in six, these results are encouraging for an application of the method to gauge theories.

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