Effective Constraints and Physical Coherent States in Quantum Cosmology: A Numerical Comparison - INSPIRE

DataBETA

Effective Constraints and Physical Coherent States in Quantum Cosmology: A Numerical Comparison

Martin Bojowald
(
- Penn State U.
)
,
Artur Tsobanjan
(
- Penn State U.
)

Nov, 2009

32 pages

Published in:

Class.Quant.Grav. 27 (2010) 145004

e-Print:

0911.4950 [gr-qc]

DOI:

10.1088/0264-9381/27/14/145004

Report number:

IGC-09-11-4

View in:

reference search43 citations

Citations per year

Abstract: (arXiv)

A cosmological model with a cyclic interpretation is introduced, which is subject to quantum back-reaction and yet can be treated rather completely by physical coherent state as well as effective constraint techniques. By this comparison, the role of quantum back-reaction in quantum cosmology is unambiguously demonstrated. Also the complementary nature of strengths and weaknesses of the two procedures is illustrated. Finally, effective constraint techniques are applied to a more realistic model filled with radiation, where physical coherent states are not available.

Note:

32 pages, 25 figures

quantum cosmology
back reaction: quantum
coherent state
cosmological model: cyclic
numerical calculations
operator: constraint

References(12)

Figures(25)

Comparison between quantum and classical dynamics in the effective action formalism

Fabrizio Cametti
(
- Calabria U. and
- INFN, Cosenza
)
,
Giovanni Jona-Lasinio
(
- Rome U.
)
,
Carlo Presilla
(
- Rome U. and
- INFN, Rome
)
,
Fabio Toninelli
(
- Rome U.
)

Effective equations of motion for quantum systems

- Rev.Math.Phys. 18 (2006) 713-746
•
e-Print:
- math-ph/0511043
•
DOI:
- 10.1142/S0129055X06002772

Large scale effective theory for cosmological bounces

Martin Bojowald
(
- Penn State U.
)

- Phys.Rev.D 75 (2007) 8, 081301
•
e-Print:
- gr-qc/0608100
•
DOI:
- 10.1103/PhysRevD.75.081301

Large scale effective theory for cosmological bounces

Martin Bojowald
(
- Penn State U.
)

- Phys.Rev.D 75 (2007) 8, 081301
•
e-Print:
- gr-qc/0608100
•
DOI:
- 10.1103/PhysRevD.75.081301

Dynamical coherent states and physical solutions of quantum cosmological bounces

Martin Bojowald
(
- Penn State U. and
- Santa Barbara, KITP
)

- Phys.Rev.D 75 (2007) 123512
•
e-Print:
- gr-qc/0703144
•
DOI:
- 10.1103/PhysRevD.75.123512

Quantum nature of cosmological bounces

Martin Bojowald
(
- Penn State U.
)

- Gen.Rel.Grav. 40 (2008) 2659-2683
•
e-Print:
- 0801.4001
•
DOI:
- 10.1007/s10714-008-0645-1

Effective Constraints for Quantum Systems

Martin Bojowald
(
- Penn State U.
)
,
Barbara Sandhofer
(
- Cologne U.
)
,
Aureliano Skirzewski
(
- Andes U., Merida
)
,
Artur Tsobanjan
(
- Penn State U.
)

- Rev.Math.Phys. 21 (2009) 111-154
•
e-Print:
- 0804.3365
•
DOI:
- 10.1142/S0129055X09003591

Effective Constraints for Quantum Systems

Martin Bojowald
(
- Penn State U.
)
,
Barbara Sandhofer
(
- Cologne U.
)
,
Aureliano Skirzewski
(
- Andes U., Merida
)
,
Artur Tsobanjan
(
- Penn State U.
)

- Rev.Math.Phys. 21 (2009) 111-154
•
e-Print:
- 0804.3365
•
DOI:
- 10.1142/S0129055X09003591

Effective Constraints for Relativistic Quantum Systems

Martin Bojowald
(
- Penn State U.
)
,
Artur Tsobanjan
(
- Penn State U.
)

- Phys.Rev.D 80 (2009) 125008
•
e-Print:
- 0906.1772
•
DOI:
- 10.1103/PhysRevD.80.125008

Mixmaster universe

Charles W. Misner
(
- Maryland U.
)

- Phys.Rev.Lett. 22 (1969) 1071-1074
•
DOI:
- 10.1103/PhysRevLett.22.1071

Comparing formulations of generalized quantum mechanics for reparametrization - invariant systems

James B. Hartle
(
- Santa Barbara, KITP
)
,
Donald Marolf
(
- Syracuse U.
)

- Phys.Rev.D 56 (1997) 6247-6257
•
e-Print:
- gr-qc/9703021
•
DOI:
- 10.1103/PhysRevD.56.6247

Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories

Glenn Barnich
(
- Brussels U., PTM
)
,
Maxim Grigoriev
(
- Brussels U., PTM and
- Lebedev Inst.
)

- Commun.Math.Phys. 254 (2005) 581-601
•
e-Print:
- hep-th/0310083
•
DOI:
- 10.1007/s00220-004-1275-4