Structure of Correlated Worldline Theories of Quantum Gravity - INSPIRE

DataBETA

Structure of Correlated Worldline Theories of Quantum Gravity

Andrei O. Barvinsky
(
- Lebedev Inst.
)
,
Daniel Carney
(
- British Columbia U. and
- Joint Quantum Inst., College Park
)
,
Philip C.E. Stamp
(
- British Columbia U. and
- Victoria U., Wellington
)

Jun 20, 2018

19 pages

Published in:

Phys.Rev.D 98 (2018) 8, 084052

Published: Oct 29, 2018

e-Print:

1806.08043 [gr-qc]

DOI:

10.1103/PhysRevD.98.084052

View in:

reference search17 citations

Citations per year

Abstract: (APS)

We consider the general form of correlated worldline (CWL) theories of quantum gravity. We show that one can have two different kinds of CWL theory, in which the generating functional is written as either a sum or a product over multiple copies of the coupled matter and gravitational fields. In both versions, the paths in a functional formulation are correlated via gravity itself, causing a breakdown of the superposition principle; however, the product form survives consistency tests not satisfied by the summed form. To better understand the structure of these two theories, we show how to perform diagrammatic expansions in the gravitational coupling for each version of CWL theory, using particle propagation and scalar fields as examples. We explicitly calculate contributions to two-point and four-point functions, again for each version of the theory, up to second order in the gravitational coupling.

Note:

20 pages, 6 figures

General relativity, alternative theories of gravity
gravitation: coupling
matter: coupling
particle: propagation
field theory: scalar
quantum gravity

References(61)

Figures(6)

[1]

Quantum theory of gravitation

- Rept.Prog.Phys. 37 (1974) 1211-1256
•
DOI:
- 10.1088/0034-4885/37/10/001

[2]

Quantum gravity: A Progress report

Steven Carlip
(
- UC, Davis
)

- Rept.Prog.Phys. 64 (2001) 885
•
e-Print:
- gr-qc/0108040
•
DOI:
- 10.1088/0034-4885/64/8/301

[3]

On gravity's role in quantum state reduction

Roger Penrose

- Gen.Rel.Grav. 28 (1996) 581-600
•
DOI:
- 10.1007/BF02105068

[3]

Quantum computation, entanglement and state reduction

Roger Penrose

- Phil.Trans.Roy.Soc.Lond.A 356 (1998) 1927-1938

[4]

General Relativity

R.M. Wald

[5]

Black Holes: Complementarity or Firewalls?

Ahmed Almheiri
(
- UC, Santa Barbara
)
,
Donald Marolf
(
- UC, Santa Barbara and
- Santa Barbara, KITP
)
,
Joseph Polchinski
(
- Santa Barbara, KITP
)
,
James Sully
(
- UC, Santa Barbara
)

- JHEP 02 (2013) 062
•
e-Print:
- 1207.3123
•
DOI:
- 10.1007/JHEP02(2013)062

[6]

Breakdown of Predictability in Gravitational Collapse

S.W. Hawking
(
- Cambridge U. and
- Caltech
)

- Phys.Rev.D 14 (1976) 2460-2473
•
DOI:
- 10.1103/PhysRevD.14.2460

[6]

The Unpredictability of Quantum Gravity

S.W. Hawking
(
- Cambridge U.
)

- Commun.Math.Phys. 87 (1982) 395-415
•
DOI:
- 10.1007/BF01206031

[7]

Difficulties for the Evolution of Pure States Into Mixed States

Tom Banks
(
- Stanford U., Phys. Dept.
)
,
Leonard Susskind
(
- Stanford U., Phys. Dept.
)
,
Michael E. Peskin
(
- SLAC
)

- Nucl.Phys.B 244 (1984) 125-134
•
DOI:
- 10.1016/0550-3213(84)90184-6

[7]

The Scattering matrix approach for the quantum black hole: An Overview

Gerard 't Hooft
(
- Utrecht U.
)

- Int.J.Mod.Phys.A 11 (1996) 4623-4688
•
e-Print:
- gr-qc/9607022
•
DOI:
- 10.1142/S0217751X96002145

[7]

Soft Hair on Black Holes

Stephen W. Hawking
(
- Cambridge U. and
- Cambridge U., DAMTP
)
,
Malcolm J. Perry
(
- Cambridge U. and
- Cambridge U., DAMTP
)
,
Andrew Strominger
(
- Harvard U., Phys. Dept.
)

- Phys.Rev.Lett. 116 (2016) 23, 231301
•
e-Print:
- 1601.00921
•
DOI:
- 10.1103/PhysRevLett.116.231301

[8]

The paradox of quantum black holes

Leonard Susskind

- Nature Phys. 2 (2006) 10, 665-677
•
DOI:
- 10.1038/nphys429

[8]

Quantum information cannot be completely hidden in correlations: Implications for the black-hole information paradox

- Phys.Rev.Lett. 98 (2007) 080502
•
e-Print:
- gr-qc/0603046
•
DOI:
- 10.1103/PhysRevLett.98.080502

[9]

Decoherence without Dissipation

W.G. Unruh
(
- British Columbia U.
)

- Trans.Roy.Soc.Lond. 370 (2012) 4454
•
e-Print:
- 1205.6750
•
DOI:
- 10.1098/rsta.2012.0163

[9]

Information Loss

William G. Unruh
(
- British Columbia U.
)
,
Robert M. Wald
(
- Chicago U., EFI and
- Chicago U.
)

- Rept.Prog.Phys. 80 (2017) 9, 092002
•
e-Print:
- 1703.02140
•
DOI:
- 10.1088/1361-6633/aa778e

[9]

The Black Hole information problem: past, present, and future

Donald Marolf
(
- UC, Santa Barbara
)

- Rept.Prog.Phys. 80 (2017) 9, 092001
•
e-Print:
- 1703.02143
•
DOI:
- 10.1088/1361-6633/aa77cc

[10]

Gravitation and quantum mechanics of macroscopic objects

F. Karolyhazy
(
- North Carolina U.
)

- Nuovo Cim.A 42 (1966) 390-402
•
DOI:
- 10.1007/BF02717926

[11]

Quantum Gravity 2: A 2nd Oxford Symposium

C.J. Isham
,
R. Penrose
,
D.W. Sciama
,
T.W.B. Kibble

[12]

Indirect Evidence for Quantum Gravity

Don N. Page
(
- Penn State U.
)
,
C.D. Geilker
(
- William Jewell Coll.
)

- Phys.Rev.Lett. 47 (1981) 979-982
•
DOI:
- 10.1103/PhysRevLett.47.979

[13]

Quantum Theory of Gravity

S.M. Christensen
,
W.G. Unruh

[14]

Environmental Decoherence versus Intrinsic Decoherence

P.C.E. Stamp
(
- British Columbia U.
)

- Phil.Trans.Roy.Soc.Lond.A 370 (2012) 4429
•
e-Print:
- 1205.5307
•
DOI:
- 10.1098/rsta.2012.0162

[15]

Rationale for a Correlated Worldline Theory of Quantum Gravity

P.C.E. Stamp
(
- British Columbia U.
)

- New J.Phys. 17 (2015) 6, 065017
•
e-Print:
- 1506.05065
•
DOI:
- 10.1088/1367-2630/17/6/065017

[16]

Quantum Gravity 2: A 2nd Oxford Symposium

C.J. Isham
,
R. Penrose
,
D.W. Sciama
,
M.J. Duff

[17]

The necessity of quantizing the gravitational field

Kenneth Eppley
(
- Princeton U.
)
,
Eric Hannah
(
- Princeton U.
)

- Found.Phys. 7 (1977) 1, 51-68
•
DOI:
- 10.1007/BF00715241

[18]

Why Eppley and Hannah's thought experiment fails

James Mattingly
(
- Georgetown U.
)

- Phys.Rev.D 73 (2006) 064025
•
e-Print:
- gr-qc/0601127
•
DOI:
- 10.1103/PhysRevD.73.064025

1-25 of 61
1
2
3
25 / page