Nonunitarity problem in quantum gravity corrections to quantum field theory with Born-Oppenheimer approximation - INSPIRE

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Nonunitarity problem in quantum gravity corrections to quantum field theory with Born-Oppenheimer approximation

Federico Di Gioia
(
- Rome U.
)
,
Giulia Maniccia
(
- Rome U.
)
,
Giovanni Montani
(
- Rome U. and
- ENEA, Frascati
)
,
Jacopo Niedda
(
- Rome U.
)

Dec 20, 2019

19 pages

Published in:

Phys.Rev.D 103 (2021) 10, 103511

Published: May 11, 2021

e-Print:

1912.09945 [gr-qc]

DOI:

10.1103/PhysRevD.103.103511

View in:

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Abstract: (APS)

The problem of time is one of the most relevant open issues in canonical quantum gravity. Although there is a huge literature about this topic, a commonly accepted solution has not been found yet. Here, we focus on the semiclassical approach to the problem of time, that has the main goal of reproducing quantum field theory on a fixed Wentzel-Kramers-Brillouin (WKB) background accounting also for quantum gravity corrections. We analyze the different choices of the expansion parameter and discuss the problems arising in previous proposals, where a nonunitary evolution emerges as an effect of quantum gravity corrections. In this work, we develop a new approach to solve this problem by performing the WKB expansion with the introduction of the so-called kinematical action as a clock for quantum matter, that allows to recover a unitary dynamics.

Note:

24 pages, no figures. Little adjustments, improved bibliography

Cosmology
quantum gravity: correction
quantum gravity: canonical
quantum gravity: effect
WKB approximation
field theory
unitarity
semiclassical
kinematics
background

References(27)

Figures(0)

[1]

Lectures on Quantum Mechanics

P.A.M. Dirac

[2]

Canonical Quantum Gravity

F. Cianfrani
,
O.M. Lecian
,
M. Lulli
,
G. Montani

[3]

Dust as a standard of space and time in canonical quantum gravity

J.David Brown
(
- North Carolina State U.
)
,
Karel V. Kuchar
(
- Utah U.
)

- Phys.Rev.D 51 (1995) 5600-5629
•
e-Print:
- gr-qc/9409001
•
DOI:
- 10.1103/PhysRevD.51.5600

[4]

Gaussian reference fluid and interpretation of quantum geometrodynamics

Karel V. Kuchar
(
- Utah U.
)
,
Charles G. Torre
(
- Florida Inst. Tech.
)

- Phys.Rev.D 43 (1991) 419-441
•
DOI:
- 10.1103/PhysRevD.43.419

[5]

Canonical quantum gravity and the problem of time

C.J. Isham
(
- Imperial Coll., London
)

- GIFT Seminar 1992:0157-288,
- NATO Sci.Ser.C 409 (1993) 157-287
•
e-Print:
- gr-qc/9210011

[6]

Time in Quantum Gravity: Physics Beyond the Schrodinger Regime

Carlo Rovelli
(
- Pittsburgh U. and
- INFN, Trieste
)

- Phys.Rev.D 43 (1991) 442-456,
- Phys. Rev. D43 (1991) 442-456 and Pittsburgh Univ. - PITT-90-02 (89,rec.Apr.90) 24 p
•
DOI:
- 10.1103/PhysRevD.43.442

[7]

Quantum Theory of Gravity. 1. The Canonical Theory

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

- Phys.Rev. 160 (1967) 1113-1148,
•
DOI:
- 10.1103/PhysRev.160.1113

[8]

The Interpretation of the Wave Function of the Universe

Alexander Vilenkin
(
- Tufts U.
)

- Phys.Rev.D 39 (1989) 1116
•
DOI:
- 10.1103/PhysRevD.39.1116

[9]

Semiclassical suppression of the weak anisotropies of a generic Universe

Marco Valerio Battisti
(
- ICRA, Rome and
- Marseille, CPT and
- Rome U.
)
,
Riccardo Belvedere
(
- ICRA, Rome and
- Rome U.
)
,
Giovanni Montani
(
- ICRA, Rome and
- Rome U. and
- ENEA, Frascati and
- ICRA, Pescara
)

- EPL 86 (2009) 6, 69001
•
e-Print:
- 0905.3695
•
DOI:
- 10.1209/0295-5075/86/69001

[10]

Probabilistic interpretation of the wave function for the Bianchi I model

Leonardo Agostini
(
- Rome U.
)
,
Francesco Cianfrani
(
- Wroclaw U.
)
,
Giovanni Montani
(
- ENEA, Frascati and
- Rome U.
)

- Phys.Rev.D 95 (2017) 12, 126010
•
e-Print:
- 1704.08502
•
DOI:
- 10.1103/PhysRevD.95.126010

[11]

Quantum gravitational corrections to the functional Schrodinger equation

Claus Kiefer
(
- Zurich U.
)
,
Tejinder P. Singh
(
- ICTP, Trieste
)

- Phys.Rev.D 44 (1991) 1067-1076
•
DOI:
- 10.1103/PhysRevD.44.1067

[12]

Quantum-gravitational effects on gauge-invariant scalar and tensor perturbations during inflation: The slow-roll approximation

David Brizuela
(
- Basque U., Bilbao
)
,
Claus Kiefer
(
- Cologne U.
)
,
Manuel Krämer
(
- Szczecin U.
)

- Phys.Rev.D 94 (2016) 12, 123527
•
e-Print:
- 1611.02932
•
DOI:
- 10.1103/PhysRevD.94.123527

[13]

The Born-Oppenheimer approach to the matter - gravity system and unitarity

C. Bertoni
(
- Bologna, Ist. Radioastronomia
)
,
F. Finelli
(
- Bologna U. and
- INFN, Bologna
)
,
Giovanni Venturi
(
- Bologna U. and
- INFN, Bologna
)

- Class.Quant.Grav. 13 (1996) 2375-2384
•
e-Print:
- gr-qc/9604011
•
DOI:
- 10.1088/0264-9381/13/9/005

[14]

Semiclassical approximation of the Wheeler-DeWitt equation: arbitrary orders and the question of unitarity

Claus Kiefer
(
- Cologne U.
)
,
David Wichmann
(
- Cologne U.
)

- Gen.Rel.Grav. 50 (2018) 6, 66
•
e-Print:
- 1802.01422
•
DOI:
- 10.1007/s10714-018-2390-4

[15]

Oxford Conference on Quantum Gravity

K.V. Kuchar

[16]

Canonical quantization of gravity without frozen formalism

Giovanni Montani
(
- ICRA, Rome
)

- Nucl.Phys.B 634 (2002) 370-392
•
e-Print:
- gr-qc/0205032
•
DOI:
- 10.1016/S0550-3213(02)00301-2

[17]

The Dynamics of general relativity

- Gen.Rel.Grav. 40 (2008) 1997-2027
•
e-Print:
- gr-qc/0405109
•
DOI:
- 10.1007/s10714-008-0661-1

[18]

Gauge Fixing and the Semiclassical Interpretation of Quantum Cosmology

Leonardo Chataignier
(
- Cologne U.
)

- Z.Naturforsch.A 74 (2019) 12, 1069-1098,
- Z.Naturforsch.A 74 (2019) 1069
•
e-Print:
- 1901.07104
•
DOI:
- 10.1515/zna-2019-0223

[19]

Construction of quantum Dirac observables and the emergence of WKB time

Leonardo Chataignier
(
- Cologne U.
)

- Phys.Rev.D 101 (2020) 8, 086001
•
e-Print:
- 1910.02998
•
DOI:
- 10.1103/PhysRevD.101.086001

[20]

The Born–Oppenheimer method, quantum gravity and matter

Alexander Yu Kamenshchik
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Bologna and
- Landau Inst.
)
,
Alessandro Tronconi
(
- Bologna U. and
- INFN, Bologna
)
,
Giovanni Venturi
(
- Bologna U. and
- INFN, Bologna
)

- Class.Quant.Grav. 35 (2018) 1, 015012
•
e-Print:
- 1709.10361
•
DOI:
- 10.1088/1361-6382/aa8fb3

[21]

N.I. Gidopoulos
,
E.K.U. Gross

e-Print:
- cond-mat/0502433

[22]

A. Abedi
,
N.T. Maitra
,
E.K.U. Gross

- Phys.Rev.Lett. 105 (2010) 123002
•
DOI:
- 10.1103/PhysRevLett.105.123002

[23]

J.L. Alonso
,
J. Clemente-Gallardo
,
P. Enchique-Robba
,
J.A. Jover-Galtier

- J.Chem.Phys. 137 (2012) 22A530
•
DOI:
- 10.1063/1.4745836

[23]

J.L. Alonso
,
J. Clemente-Gallardo
,
P. Enchique-Robba
,
J.A. Jover-Galtier

- J.Chem.Phys. 139 (2013) 087101
•
DOI:
- 10.1063/1.4818521

[24]

A. Scherrer
,
F. Agostini
,
D. Sebastiani
,
E.K.U. Gross
,
R. Vuilleumier

- Phys.Rev.X 7 (2017) 031035
•
DOI:
- 10.1103/PhysRevX.7.031035

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