BACKGROUND FIELD CALCULATIONS IN CURVED SPACE-TIME. 3. APPLICATION TO A GENERAL GAUGE THEORY COUPLED TO FERMIONS AND SCALARS

Jack, I.

doi:10.1016/0550-3213(85)90534-6

BACKGROUND FIELD CALCULATIONS IN CURVED SPACE-TIME. 3. APPLICATION TO A GENERAL GAUGE THEORY COUPLED TO FERMIONS AND SCALARS

I. Jack
(
- Imperial Coll., London
)

1985

30 pages

Published in:

Nucl.Phys.B 253 (1985) 323-352

Published: 1985

DOI:

10.1016/0550-3213(85)90534-6

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Abstract: (Elsevier)

The method evolved in the first paper of this series is used to compute the gravitational counterterms to two-loop order for the most general renormalisable theory of gauge fields coupled to fermions and scalars defined on an arbitrary curved background with euclidean metric. The R -dependence of the β-function for the scalar potential to two-loop order is shown to vanish for an appropriate redefinition of the potential.

FIELD THEORY: SPACE-TIME
GAUGE FIELD THEORY: BACKGROUND FIELD
FIELD THEORY: SCALAR
FIELD THEORY: SPINOR
SPINOR: FIELD THEORY
RENORMALIZATION: BETA FUNCTION
POTENTIAL: SCALAR
FEYNMAN GRAPH: HIGHER-ORDER

References(16)

Figures(0)

[1]

Dimensional Regularization of Gauge Theories in Spherical Space-Time: Free Field Trace Anomalies

G.M. Shore
(
- Cambridge U.
)

- Annals Phys. 117 (1979) 121
•
DOI:
- 10.1016/0003-4916(79)90046-0

[1]

The Background - Field Method and the Renormalization of Nonabelian Gauge Theories in Curved Space-time

David J. Toms
(
- Imperial Coll., London
)

- Phys.Rev.D 27 (1983) 1803
•
DOI:
- 10.1103/PhysRevD.27.1803

[1]

Effective Couplings of Grand Unified Theories in Curved Space-time

- Phys.Rev.Lett. 52 (1984) 1269
•
DOI:
- 10.1103/PhysRevLett.52.1269

[1]

Renormalization Group Analysis of Grand Unified Theories in Curved Space-time

- Phys.Rev.D 29 (1984) 1584
•
DOI:
- 10.1103/PhysRevD.29.1584

[2]

One Loop Renormalization in Curved Space-times Using the Background Field Method

Minoru Omote
(
- Tsukuba U.
)
,
Shoichi Ichinose
(
- Tsukuba U.
)

- Phys.Rev.D 27 (1983) 2341
•
DOI:
- 10.1103/PhysRevD.27.2341

[3]

The Two Loop Renormalization of the Gauge Coupling and the Scalar Potential for an Arbitrary Renormalizable Field Theory

Ruud van Damme
(
- Utrecht U.
)

- Nucl.Phys.B 227 (1983) 317-348,
- Nucl.Phys.B 244 (1984) 549-549 (erratum)
•
DOI:
- 10.1016/0550-3213(83)90024-X

[4]

Background Field Calculations in Curved Space-time. 1. General Formalism and Application to Scalar Fields

I. Jack
(
- Imperial Coll., London
)
,
H. Osborn
(
- Cambridge U.
)

- Nucl.Phys.B 234 (1984) 331-364
•
DOI:
- 10.1016/0550-3213(84)90067-1

[5]

Two Loop Background Field Calculations for Arbitrary Background Fields

I. Jack
(
- Cambridge U.
)
,
H. Osborn
(
- Cambridge U.
)

- Nucl.Phys.B 207 (1982) 474-504
•
DOI:
- 10.1016/0550-3213(82)90212-7

[6]

Two Loop Background Field Calculations for Gauge Theories With Scalar Fields

Ian Jack
(
- Cambridge U.
)

- J.Phys.A 16 (1983) 1083,
- J. Phys. A16 ( 1983) 1083-1099 and Cambridge Univ. - DAMTP 82-22 (82,REC.OCT.) 31p
•
DOI:
- 10.1088/0305-4470/16/5/025

[7]

BACKGROUND FIELD CALCULATIONS IN CURVED SPACE-TIME. II. APPLICATION TO A PURE GAUGE THEORY

I. Jack
(
- Imperial Coll., London
)

- Nucl.Phys.B 234 (1984) 365-378,
- Nucl. Phys. B234 ( 1984) 365-378
•
DOI:
- 10.1016/0550-3213(84)90068-3

[8]

The Renormalization of Nonabelian Gauge Theories in Curved Space-time

M.D. Freeman
(
- Cambridge U.
)

- Annals Phys. 153 (1984) 339,
- Ann. Phys. ( N.y.) 153 ( 1984) 339-366 and Cambridge Univ. - DAMTP 83-05 (83,REC.MAY) 42p
•
DOI:
- 10.1016/0003-4916(84)90022-8

[9]

General Background Field Calculations With Fermion Fields

I. Jack
(
- Imperial Coll., London and
- Cambridge U.
)
,
H. Osborn
(
- Cambridge U.
)

- Nucl.Phys.B 249 (1985) 472-506
•
DOI:
- 10.1016/0550-3213(85)90088-4

[10]

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

[11]

Observations on Conformal Anomalies

M.J. Duff
(
- Queen Mary, U. of London
)

- Nucl.Phys.B 125 (1977) 334-348
•
DOI:
- 10.1016/0550-3213(77)90410-2

[12]

Conformal anomaly and cohomology, preprint TH.3542-CERN

L. Bonora
,
P. Cotta-Ramusino
,
C. Reina

[13]

Trace Anomalies and {QED} in Curved Space

S.J. Hathrell
(
- Cambridge U.
)

- Annals Phys. 142 (1982) 34
•
DOI:
- 10.1016/0003-4916(82)90227-5