Unitarity in Higher Derivative Quantum Gravity - INSPIRE

DataBETA

Unitarity in Higher Derivative Quantum Gravity

E.T. Tomboulis
(
- Princeton U. and
- UCLA
)

Oct, 1983

10 pages

Published in:

Phys.Rev.Lett. 52 (1984) 1173

DOI:

10.1103/PhysRevLett.52.1173

Report number:

UCLA/83/TEP/18

View in:

reference search138 citations

Citations per year

Abstract: (APS)

A Euclidean lattice formulation is presented of the general fourth-order gravitational action involving Rμν2 terms. This lattice theory is bounded and reflection positive. The existence of a positive Hilbert space and Hamiltonian, and hence unitarity, follow then from the standard nonperturbative Osterwalder-Schrader construction.

QUANTUM GRAVITY
LATTICE FIELD THEORY: EUCLIDEAN
LATTICE FIELD THEORY: ACTION
UNITARITY
AXIOMATIC FIELD THEORY
GAUGE FIELD THEORY: O(4)

References(21)

Figures(0)

Renormalization of Higher Derivative Quantum Gravity

K.S. Stelle
(
- Brandeis U.
)

- Phys.Rev.D 16 (1977) 953-969
•
DOI:
- 10.1103/PhysRevD.16.953

Semiclassical calculation of fission barriers with Skyrme forces

- Phys.Lett.B 97 (1980) 7-11
•
DOI:
- 10.1016/0370-2693(80)90534-1

Renormalizable asymptotically free quantum theory of gravity

E.S. Fradkin
(
- Lebedev Inst.
)
,
Arkady A. Tseytlin
(
- Lebedev Inst.
)

- Nucl.Phys.B 201 (1982) 469-491,
- Nucl. Phys. B201 ( 1982) 469-491
•
DOI:
- 10.1016/0550-3213(82)90444-8

1/N Expansion and Renormalization in Quantum Gravity

E. Tomboulis
(
- Princeton U.
)

- Phys.Lett.B 70 (1977) 361-364
•
DOI:
- 10.1016/0370-2693(77)90678-5

Strong Coupling Approach to the Quantization of Conformal Gravity

Michio Kaku
(
- City Coll., N.Y.
)

- Phys.Rev.D 27 (1983) 2819
•
DOI:
- 10.1103/PhysRevD.27.2819

Zero Energy Theorem for Scale Invariant Gravity

- Phys.Rev.Lett. 50 (1983) 1726
•
DOI:
- 10.1103/PhysRevLett.50.1726

Invariant theoretical interpretation of interaction

Ryoyu Utiyama
(
- Princeton, Inst. Advanced Study
)

- Phys.Rev. 101 (1956) 1597-1607,
•
DOI:
- 10.1103/PhysRev.101.1597

Lorentz invariance and the gravitational field

T.W.B. Kibble
(
- Imperial Coll., London
)

- J.Math.Phys. 2 (1961) 212-221,
•
DOI:
- 10.1063/1.1703702

Unified Geometric Theory of Gravity and Supergravity

S.W. MacDowell
(
- Yale U.
)
,
F. Mansouri
(
- Yale U.
)

- Phys.Rev.Lett. 38 (1977) 739,
- Phys.Rev.Lett. 38 (1977) 1376 (erratum)
•
DOI:
- 10.1103/PhysRevLett.38.739

Gravity and Supergravity as Gauge Theories on a Group Manifold

Yuval Ne'eman
(
- Tel Aviv U. and
- Texas U.
)
,
Tullio Regge
(
- Princeton, Inst. Advanced Study and
- Turin U.
)

- Phys.Lett.B 74 (1978) 54-56
•
DOI:
- 10.1016/0370-2693(78)90058-8

- Lett.Nuovo Cim. 23 498

Gauge Theory of the Conformal and Superconformal Group

M. Kaku
(
- City Coll., N.Y.
)
,
P.K. Townsend
(
- SUNY, Stony Brook
)
,
P. van Nieuwenhuizen
(
- SUNY, Stony Brook
)

- Phys.Lett.B 69 (1977) 304-308
•
DOI:
- 10.1016/0370-2693(77)90552-4

A Geometric Gravity Lagrangian

Peter C. West
(
- Imperial Coll., London
)

- Phys.Lett.B 76 (1978) 569-570
•
DOI:
- 10.1016/0370-2693(78)90856-0

QUANTUM GRAVITY ON A LATTICE

Lee Smolin
(
- Harvard U.
)

- Nucl.Phys.B 148 (1979) 333-372
•
DOI:
- 10.1016/0550-3213(79)90140-8

Lattice Formulation of General Relativity

- Phys.Lett.B 81 (1979) 11-14
•
DOI:
- 10.1016/0370-2693(79)90704-4

AXIOMS FOR EUCLIDEAN GREEN'S FUNCTIONS

Konrad Osterwalder
(
- Harvard U.
)
,
Robert Schrader
(
- Harvard U.
)

- Commun.Math.Phys. 31 (1973) 83-112
•
DOI:
- 10.1007/BF01645738

Axioms for Euclidean Green's Functions. 2.

Konrad Osterwalder
(
- Harvard U.
)
,
Robert Schrader
(
- Freie U., Berlin
)

- Commun.Math.Phys. 42 (1975) 281,
- Commun.Math.Phys.42 (1975) 281-305 and Preprint - OSTERWALDER K (REC.DEC 74) 53p
•
DOI:
- 10.1007/BF01608978

ON THE CONSTRUCTION OF QUANTIZED GAUGE FIELDS. I. GENERAL RESULTS

D. Brydges
(
- Rockefeller U.
)
,
J. Frohlich
(
- IHES, Bures-sur-Yvette
)
,
E. Seiler
(
- Princeton U.
)

- Annals Phys. 121 (1979) 227-284
•
DOI:
- 10.1016/0003-4916(79)90098-8

Construction of a Selfadjoint, Strictly Positive Transfer Matrix for Euclidean Lattice Gauge Theories

M. Luscher
(
- Hamburg U.
)

- Commun.Math.Phys. 54 (1977) 283
•
DOI:
- 10.1007/BF01614090

Einstein Gravity as a Symmetry-Breaking Effect in Quantum Field Theory

Stephen L. Adler
(
- Princeton, Inst. Advanced Study
)

- Rev.Mod.Phys. 54 (1982) 729,
- Rev.Mod.Phys. 55 (1983) 837 (erratum),
•
DOI:
- 10.1103/RevModPhys.54.729

Spontaneously Generated Gravity

A. Zee
(
- Pennsylvania U.
)

- Phys.Rev.D 23 (1981) 858
•
DOI:
- 10.1103/PhysRevD.23.858