Conformal Off Mass Shell Extension and Elimination of Conformal Anomalies in Quantum Gravity

Fradkin, E.S.; Vilkovisky, G.A.

doi:10.1016/0370-2693(78)90838-9

Conformal Off Mass Shell Extension and Elimination of Conformal Anomalies in Quantum Gravity

1978

5 pages

Published in:

Phys.Lett.B 73 (1978) 209-213

Published: 1978

DOI:

10.1016/0370-2693(78)90838-9

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Abstract: (Elsevier)

Radiative corrections in the Einstein quantum gravity are made manifestly conformally invariant without changing the S matrix. The conformally invariant form of the classical gravitational action is restored. It is shown, that conformal anomalies, discovered in gravitating systems, do not affect the S matrix. Off the mass shell these anomalies are eliminated by the appropriate choice of a regularization.

FIELD THEORY: OFF-SHELL
INVARIANCE: CONFORMAL
INVARIANCE: ANOMALY
GRAVITATION: QUANTIZATION
RADIATIVE CORRECTION
S-MATRIX
RENORMALIZATION: REGULARIZATION

References(16)

Figures(0)

Long range forces and broken symmetries

Paul A.M. Dirac
(
- Florida State U.
)

- Proc.Roy.Soc.Lond.A 333 (1973) 403-418
•
DOI:
- 10.1098/rspa.1973.0070

On the role of conformal invariance in general relativity and the origins of mass

B.D. Bramson
(
- Oxford U., Inst. Math.
)

- Phys.Lett.A 47 (1974) 6, 431-432
•
DOI:
- 10.1016/0375-9601(74)90562-3

On Weyl's Gauge Field. 2.

Ryoyu Utiyama
(
- Osaka U.
)

- Prog.Theor.Phys. 53 (1975) 565
•
DOI:
- 10.1143/PTP.53.565

Conformal Invariant General Relativity with Dynamical Symmetry Breakdown

- Phys.Lett.B 57 (1975) 73-77
•
DOI:
- 10.1016/0370-2693(75)90247-6

On the renormalization problem of quantum gravity

R. Kallosh
(
- Lebedev Inst.
)

- Phys.Lett.B 55 (1975) 321-323
•
DOI:
- 10.1016/0370-2693(75)90611-5

Scale Dependence and the Renormalization Problem of Quantum Gravity

Stanley Deser
(
- Brandeis U.
)
,
Marcus T. Grisaru
(
- Brandeis U.
)
,
P. van Nieuwenhuizen
(
- Brandeis U.
)
,
C.C. Wu
(
- Brandeis U.
)

- Phys.Lett.B 58 (1975) 355-356
•
DOI:
- 10.1016/0370-2693(75)90672-3

Conformal Invariance in General Relativity

G.V. Bicknell
(
- Sydney U.
)

- J.Phys.A 9 (1976) 1077-1080
•
DOI:
- 10.1088/0305-4470/9/7/009

Conformal Invariance in Quantum Gravity

- Nucl.Phys.B 117 (1976) 407-432
•
DOI:
- 10.1016/0550-3213(76)90406-5

Quantum Theory of Gravity. 2. The Manifestly Covariant Theory

Bryce S. DeWitt
(
- Princeton, Inst. Advanced Study and
- North Carolina U.
)

- Phys.Rev. 162 (1967) 1195-1239,
- Also in *Mohapatra, R. N. (ed.), Lai, C. H. (ed.): Gauge Theories Of Fundamental Interactions*, 105-149,
•
DOI:
- 10.1103/PhysRev.162.1195

Trace anomalies in dimensional regularization

D.M. Capper
(
- Imperial Coll., London
)
,
M.J. Duff
(
- Oxford U.
)

- Nuovo Cim.A 23 (1974) 173-183
•
DOI:
- 10.1007/BF02748300

Conformal Anomalies and the Renormalizability Problem in Quantum Gravity

- Phys.Lett.A 53 (1975) 361
•
DOI:
- 10.1016/0375-9601(75)90030-4

Quantum Electrodynamical Corrections to Graviton-Matter Vertices

Frits A. Berends
(
- Leiden U.
)
,
R. Gastmans
(
- Leuven U.
)

- Annals Phys. 98 (1976) 225
•
DOI:
- 10.1016/0003-4916(76)90245-1

Nonlocal Conformal Anomalies

Stanley Deser
(
- King's Coll. London
)
,
M.J. Duff
(
- King's Coll. London
)
,
C.J. Isham
(
- King's Coll. London
)

- Nucl.Phys.B 111 (1976) 45-55
•
DOI:
- 10.1016/0550-3213(76)90480-6

Quantum Field Theory in Curved Space-Time

Bryce S. DeWitt
(
- Texas U.
)

- Phys.Rept. 19 (1975) 295-357
•
DOI:
- 10.1016/0370-1573(75)90051-4

- Ann.Inst.H.Poincare Phys.Theor.A 20 69

On Renormalization of Quantum Field Theory in Curved Space-Time

E.S. Fradkin
(
- Lebedev Inst. and
- Bern U.
)
,
G.A. Vilkovisky
(
- Moscow, Standards Committee
)

- Lett.Nuovo Cim. 19 (1977) 47-54
•
DOI:
- 10.1007/BF02746592