Conformally Invariant Amplitudes and Field Theory in a Space-Time of Constant Curvature

Drummond, I.T.

doi:10.1103/PhysRevD.19.1123

Conformally Invariant Amplitudes and Field Theory in a Space-Time of Constant Curvature

I.T. Drummond
(
- Cambridge U.
)

Feb, 1977

26 pages

Published in:

Phys.Rev.D 19 (1979) 1123

DOI:

10.1103/PhysRevD.19.1123

Report number:

DAMTP 77/3

View in:

pdf

reference search29 citations

Citations per year

Abstract: (APS)

The problem of calculating the ultraviolet divergences of a field theory in a spherical spacetime is reduced to analyzing the pole structure of conformally invariant integrals which are analogous to amplitudes which occur in the theory of dual models. The calculations are illustrated with φ3 theory in six dimensions.

INVARIANCE: CONFORMAL
FIELD THEORY
PROPAGATOR: RENORMALIZATION
field theory: scalar
FIELD THEORY: DUALITY
VERTEX FUNCTION

References(11)

Figures(0)

Dimensional Regularization of Massless Theories in Spherical Space-Time

I.T. Drummond
(
- CERN
)

- Nucl.Phys.B 94 (1975) 115-144
•
DOI:
- 10.1016/0550-3213(75)90089-9

- Phys.Rev. 177 177

Electrostatic analog for the virasoro model

Joel A. Shapiro
(
- Maryland U.
)

- Phys.Lett.B 33 (1970) 361-362
•
DOI:
- 10.1016/0370-2693(70)90255-8

Generalized virasoro models

R.C. Brower
(
- CERN
)
,
P. Goddard
(
- CERN
)

- Lett.Nuovo Cim. 1S2 (1971) 1075-1081,
- Lett.Nuovo Cim. 1 (1971) 1075-1081
•
DOI:
- 10.1007/BF02770367

Dual amplitudes for currents

I.T. Drummond
(
- CERN
)

- Nucl.Phys.B 35 (1971) 269-286
•
DOI:
- 10.1016/0550-3213(71)90146-5

Regularization and Renormalization of Gauge Fields

Gerard 't Hooft
(
- Utrecht U.
)
,
M.J.G. Veltman
(
- Utrecht U.
)

- Nucl.Phys.B 44 (1972) 189-213,
- Also in *Lai, C. H. ( Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 322-346
•
DOI:
- 10.1016/0550-3213(72)90279-9

Dimensional regularization and the renormalization group

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 61 (1973) 455-468
•
DOI:
- 10.1016/0550-3213(73)90376-3

Manifestly crossing invariant parametrization of n meson amplitude

Ziro Koba
(
- Bohr Inst.
)
,
Holger Bech Nielsen
(
- Bohr Inst.
)

- Nucl.Phys.B 12 (1969) 517-536
•
DOI:
- 10.1016/0550-3213(69)90071-6

$\phi^3$ Theory in Six Dimensions and the Renormalization Group

A.J. Macfarlane
(
- Cambridge U.
)
,
G. Woo
(
- Cambridge U.
)

- Nucl.Phys.B 77 (1974) 91-108,
- Nucl.Phys.B 86 (1975) 548-548 (erratum)
•
DOI:
- 10.1016/0550-3213(74)90306-X

$\phi^3$ Theory in Six Dimensions and the Renormalization Group

A.J. Macfarlane
(
- Cambridge U.
)
,
G. Woo
(
- Cambridge U.
)

- Nucl.Phys.B 77 (1974) 91-108,
- Nucl.Phys.B 86 (1975) 548-548 (erratum)
•
DOI:
- 10.1016/0550-3213(74)90306-X

Renormalization of the energy-momentum tensor in φ $^4$ theory

John C. Collins
(
- Princeton U.
)

- Phys.Rev.D 14 (1976) 1965
•
DOI:
- 10.1103/PhysRevD.14.1965