Quantum gravity, dynamical phase-space and string theory

Freidel, Laurent; Leigh, Robert G.; Minic, Djordje

doi:10.1142/S0218271814420061

Quantum gravity, dynamical phase-space and string theory

Journal Article · Thu Aug 14 00:00:00 EDT 2014 · International Journal of Modern Physics D

DOI:https://doi.org/10.1142/S0218271814420061· OSTI ID:1594467

Freidel, Laurent ^[1]; Leigh, Robert G. ^[2]; Minic, Djordje ^[3]

Perimeter Inst. for Theoretical Physics, Waterloo ON (Canada); Virginia Polytechnic Institute and State University
Univ. of Illinois, Urbana, IL (United States)
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

In a natural extension of the relativity principle, we speculate that a quantum theory of gravity involves two fundamental scales associated with both dynamical spacetime as well as dynamical momentum space. This view of quantum gravity is explicitly realized in a new formulation of string theory which involves dynamical phase-space and in which spacetime is a derived concept. This formulation naturally unifies symplectic geometry of Hamiltonian dynamics, complex geometry of quantum theory and real geometry of general relativity. As a result, the spacetime and momentum space dynamics, and thus dynamical phase-space, is governed by a new version of the renormalization group (RG).

View Accepted Manuscript (DOE)

Research Organization:: Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0009973

OSTI ID:: 1594467

Journal Information:: International Journal of Modern Physics D, Journal Name: International Journal of Modern Physics D Journal Issue: 12 Vol. 23; ISSN 0218-2718

Publisher:: World ScientificCopyright Statement

Country of Publication:: United States

Language:: English

References (32)

Nonassociativity, Malcev algebras and string theory Günaydin, M.; Minic, D. Fortschritte der Physik, Vol. 61, Issue 10 https://doi.org/10.1002/prop.201300010	journal	April 2013
Doubled Field Theory, T-Duality and Courant-Brackets Zwiebach, Barton Strings and Fundamental Physics https://doi.org/10.1007/978-3-642-25947-0_7	book	January 2012
Geometrization of quantum mechanics Kibble, T. W. B. Communications in Mathematical Physics, Vol. 65, Issue 2 https://doi.org/10.1007/BF01225149	journal	June 1979
Background independent action for double field theory Hohm, Olaf; Hull, Chris; Zwiebach, Barton Journal of High Energy Physics, Vol. 2010, Issue 7 https://doi.org/10.1007/JHEP07(2010)016	journal	July 2010
Generalized metric formulation of double field theory Hohm, Olaf; Hull, Chris; Zwiebach, Barton Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)008	journal	August 2010
Renormalisation of ?4-Theory on Noncommutative ?4 in the Matrix Base Grosse, Harald; Wulkenhaar, Raimar Communications in Mathematical Physics, Vol. 256, Issue 2 https://doi.org/10.1007/s00220-004-1285-2	journal	February 2005
Duality symmetric formulation of string world sheet dynamics Tseytlin, A. A. Physics Letters B, Vol. 242, Issue 2 https://doi.org/10.1016/0370-2693(90)91454-J	journal	June 1990
Typical states and density matrices Gibbons, G. W. Journal of Geometry and Physics, Vol. 8, Issue 1-4 https://doi.org/10.1016/0393-0440(92)90046-4	journal	March 1992
Duality symmetric closed string theory and interacting chiral scalars Tseytlin, A. A. Nuclear Physics B, Vol. 350, Issue 1-2 https://doi.org/10.1016/0550-3213(91)90266-Z	journal	February 1991
A general theory of quantum relativity Minic, Djordje; Tze, Chia-Hsiung Physics Letters B, Vol. 581, Issue 1-2 https://doi.org/10.1016/j.physletb.2003.11.054	journal	February 2004
Born reciprocity in string theory and the nature of spacetime Freidel, Laurent; Leigh, Robert G.; Minic, Djordje Physics Letters B, Vol. 730 https://doi.org/10.1016/j.physletb.2014.01.067	journal	March 2014
Quantised Field Theory and the Mass of the Proton Born, Max Nature, Vol. 136, Issue 3450 https://doi.org/10.1038/136952a0	journal	December 1935
Ponzano–Regge model revisited: III. Feynman diagrams and effective field theory Freidel, Laurent; Livine, Etera R. Classical and Quantum Gravity, Vol. 23, Issue 6 https://doi.org/10.1088/0264-9381/23/6/012	journal	March 2006
The gauge algebra of double field theory and Courant brackets Hull, Chris; Zwiebach, Barton Journal of High Energy Physics, Vol. 2009, Issue 09 https://doi.org/10.1088/1126-6708/2009/09/090	journal	September 2009
Double field theory Hull, Chris; Zwiebach, Barton Journal of High Energy Physics, Vol. 2009, Issue 09 https://doi.org/10.1088/1126-6708/2009/09/099	journal	September 2009
Geometrization of quantum mechanics Olkhov, O. A. Journal of Physics: Conference Series, Vol. 67 https://doi.org/10.1088/1742-6596/67/1/012037	journal	May 2007
A suggestion for unifying quantum theory and relativity Born, Max; Whittaker, Edmund Taylor Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 165, Issue 921 https://doi.org/10.1098/rspa.1938.0060	journal	April 1938
Quantized Space-Time Snyder, Hartland S. Physical Review, Vol. 71, Issue 1 https://doi.org/10.1103/PhysRev.71.38	journal	January 1947
Background independent quantum mechanics and gravity Minic, Djordje; Tze, Chia-Hsiung Physical Review D, Vol. 68, Issue 6 https://doi.org/10.1103/PhysRevD.68.061501	journal	September 2003
Principle of relative locality Amelino-Camelia, Giovanni; Freidel, Laurent; Kowalski-Glikman, Jerzy Physical Review D, Vol. 84, Issue 8 https://doi.org/10.1103/PhysRevD.84.084010	journal	October 2011
3D Quantum Gravity and Effective Noncommutative Quantum Field Theory Freidel, Laurent; Livine, Etera R. Physical Review Letters, Vol. 96, Issue 22 https://doi.org/10.1103/PhysRevLett.96.221301	journal	June 2006
Reciprocity Theory of Elementary Particles Born, Max Reviews of Modern Physics, Vol. 21, Issue 3 https://doi.org/10.1103/RevModPhys.21.463	journal	July 1949
Quantum Gravity, Dynamical Energy–Momentum Space and Vacuum Energy Chang, Lay Nam; Minic, Djordje; Takeuchi, Tatsu Modern Physics Letters A, Vol. 25, Issue 35 https://doi.org/10.1142/S0217732310034286	journal	November 2010
Time and M-Theory Jejjala, Vishnu; Kavic, Michael; Minic, Djordje International Journal of Modern Physics A, Vol. 22, Issue 20 https://doi.org/10.1142/S0217751X07036981	journal	August 2007
On the Minimal Length Uncertainty Relation and the Foundations of String Theory Chang, Lay Nam; Lewis, Zachary; Minic, Djordje Advances in High Energy Physics, Vol. 2011 https://doi.org/10.1155/2011/493514	journal	January 2011
A Stringy Nature Needs Just Two Constants Veneziano, G. Europhysics Letters (EPL), Vol. 2, Issue 3 https://doi.org/10.1209/0295-5075/2/3/006	journal	August 1986
Time and M-theory Jejjala, Vishnu; Kavic, Michael; Minic, Djordje arXiv https://doi.org/10.48550/arxiv.0706.2252	text	January 2007
Double Field Theory Hull, Chris; Zwiebach, Barton arXiv https://doi.org/10.48550/arxiv.0904.4664	text	January 2009
Background independent action for double field theory Hohm, Olaf; Hull, Chris; Zwiebach, Barton arXiv https://doi.org/10.48550/arxiv.1003.5027	text	January 2010
Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy Chang, Lay Nam; Minic, Djordje; Takeuchi, Tatsu arXiv https://doi.org/10.48550/arxiv.1004.4220	text	January 2010
Born Reciprocity in String Theory and the Nature of Spacetime Freidel, Laurent; Leigh, Robert G.; Minic, Djordje arXiv https://doi.org/10.48550/arxiv.1307.7080	text	January 2013
3d Quantum Gravity and Effective Non-Commutative Quantum Field Theory Freidel, Laurent; Livine, Etera R. arXiv https://doi.org/10.48550/arxiv.hep-th/0512113	text	January 2005

Cited By (12)

B-decay anomalies and scalar leptoquarks in unified Pati-Salam models from noncommutative geometry Aydemir, Ufuk; Minic, Djordje; Sun, Chen Journal of High Energy Physics, Vol. 2018, Issue 9 https://doi.org/10.1007/jhep09(2018)117	journal	September 2018
Para-Hermitian geometries for Poisson-Lie symmetric σ-models Hassler, Falk; Lüst, Dieter; Rudolph, Felix J. Journal of High Energy Physics, Vol. 2019, Issue 10 https://doi.org/10.1007/jhep10(2019)160	journal	October 2019
Generalised kinematics for double field theory Freidel, Laurent; Rudolph, Felix J.; Svoboda, David Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/jhep11(2017)175	journal	November 2017
On stringy de Sitter spacetimes Berglund, Per; Hübsch, Tristan; Minić, Djordje Journal of High Energy Physics, Vol. 2019, Issue 12 https://doi.org/10.1007/jhep12(2019)166	journal	December 2019
A Unique Connection for Born Geometry Freidel, Laurent; Rudolph, Felix J.; Svoboda, David Communications in Mathematical Physics, Vol. 372, Issue 1 https://doi.org/10.1007/s00220-019-03379-7	journal	March 2019
Theory of metaparticles Freidel, Laurent; Kowalski-Glikman, Jerzy; Leigh, Robert G. Physical Review D, Vol. 99, Issue 6 https://doi.org/10.1103/physrevd.99.066011	journal	March 2019
Diffusion in κ-deformed space and spectral dimension Anjana, V. Modern Physics Letters A, Vol. 31, Issue 09 https://doi.org/10.1142/s0217732316500565	journal	March 2016
Modular spacetime Freidel, Laurent; Leigh, Robert G.; Minic, Djordje International Journal of Modern Physics D, Vol. 24, Issue 12 https://doi.org/10.1142/s0218271815440289	journal	October 2015
Modified dark matter: Relating dark energy, dark matter and baryonic matter Edmonds, Douglas; Farrah, Duncan; Minic, Djordje International Journal of Modern Physics D, Vol. 27, Issue 02 https://doi.org/10.1142/s021827181830001x	journal	January 2018
Modified dark matter: Relating dark energy, dark matter and baryonic matter Tatsu, Takeuchi,; Duncan, Farrah,; Jack, Ng, Y. The University of North Carolina at Chapel Hill University Libraries https://doi.org/10.17615/epxd-sn81	text	January 2018
Generalised Kinematics for Double Field Theory Freidel, Laurent; Rudolph, Felix J.; Svoboda, David arXiv https://doi.org/10.48550/arxiv.1706.07089	text	January 2017
A Unique Connection for Born Geometry Freidel, Laurent; Rudolph, Felix J.; Svoboda, David arXiv https://doi.org/10.48550/arxiv.1806.05992	text	January 2018

Similar Records

A geometrical approach in string field theory

Thesis/Dissertation · Thu Dec 31 23:00:00 EST 1987 · OSTI ID:7265019

On de Sitter spacetime and string theory

Journal Article · Thu Jun 15 00:00:00 EDT 2023 · International Journal of Modern Physics D · OSTI ID:2421501

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Quantum gravity
string theory

Quantum gravity, dynamical phase-space and string theory

Citation Formats

References (32)

Cited By (12)

Similar Records

Related Subjects