메뉴 건너뛰기




Volumn 4, Issue 1, 2007, Pages 25-52

Quantum gravity and higher curvature actions

Author keywords

Effective equations; Higher curvature actions; Quantum gravity

Indexed keywords


EID: 33847795558     PISSN: 02198878     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219887807001941     Document Type: Conference Paper
Times cited : (95)

References (54)
  • 1
    • 0000404849 scopus 로고
    • Consequences of Dirac's Theory of the Positron
    • physics/0605038
    • H. Euler and W. Heisenberg, Consequences of Dirac's Theory of the Positron, Z. Phys. 98 (1936), 714, physics/0605038
    • (1936) Z. Phys. , vol.98 , pp. 714
    • Euler, H.1    Heisenberg, W.2
  • 2
    • 0347162275 scopus 로고
    • On Gauge Invariance and Vacuum Polarization
    • J. Schwinger, On Gauge Invariance and Vacuum Polarization, Phys. Rev. 82 (1951), 664-679.
    • (1951) Phys. Rev. , vol.82 , pp. 664-679
    • Schwinger, J.1
  • 3
    • 0001407565 scopus 로고
    • Gauge-invariant signal for gauge-symmetry breaking
    • L. Dolan and R. Jackiw, Gauge-invariant signal for gauge-symmetry breaking, Phys. Rev. D 9 (1974), 2904-2912
    • (1974) Phys. Rev. D , vol.9 , pp. 2904-2912
    • Dolan, L.1    Jackiw, R.2
  • 5
    • 0000271908 scopus 로고
    • A reduction of order two for infinite-order Lagrangians
    • X. Jaén, J. Llosa, and A. Molina, A reduction of order two for infinite-order Lagrangians, Phys. Rev. D 34 (1986), 2302-2311.
    • (1986) Phys. Rev. D , vol.34 , pp. 2302-2311
    • Jaén, X.1    Llosa, J.2    Molina, A.3
  • 6
    • 18444396267 scopus 로고    scopus 로고
    • On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance
    • gr-qc/0411101
    • M. Bojowald, H. Morales-Técotl, and H. Sahlmann, On Loop Quantum Gravity Phenomenology and the Issue of Lorentz Invariance, Phys. Rev. D 71 (2005), 084012, gr-qc/0411101.
    • (2005) Phys. Rev. D , vol.71 , pp. 084012
    • Bojowald, M.1    Morales-Técotl, H.2    Sahlmann, H.3
  • 7
    • 0000962387 scopus 로고
    • Higher-derivative Lagrangians, nonlocality, problems, and solutions
    • J. Z. Simon, Higher-derivative Lagrangians, nonlocality, problems, and solutions, Phys. Rev. D 41 (1990), 3720-3733.
    • (1990) Phys. Rev. D , vol.41 , pp. 3720-3733
    • Simon, J.Z.1
  • 8
    • 33750006488 scopus 로고    scopus 로고
    • Effective Equations of Motion for Quantum Systems
    • M. Bojowald and A. Skirzewski, Effective Equations of Motion for Quantum Systems, Rev. Math. Phys. 18 (2006) 713-746.
    • (2006) Rev. Math. Phys. , vol.18 , pp. 713-746
    • Bojowald, M.1    Skirzewski, A.2
  • 9
    • 0001092198 scopus 로고
    • Geometrization of quantum mechanics
    • T. W. B. Kibble, Geometrization of quantum mechanics, Commun. Math. Phys. 65 (1979), 189-201
    • (1979) Commun. Math. Phys. , vol.65 , pp. 189-201
    • Kibble, T.W.B.1
  • 10
    • 33846632986 scopus 로고
    • Quantum mechanics as a classical theory
    • A. Heslot, Quantum mechanics as a classical theory, Phys. Rev. D 31 (1985), 1341-1348.
    • (1985) Phys. Rev. D , vol.31 , pp. 1341-1348
    • Heslot, A.1
  • 12
    • 27344454666 scopus 로고    scopus 로고
    • On the Low-Energy Ramifications and a Mathematical Extension of Loop Quantum Gravity
    • PhD thesis, The Pennsylvania State University
    • J. Willis, On the Low-Energy Ramifications and a Mathematical Extension of Loop Quantum Gravity, PhD thesis, The Pennsylvania State University, 2004.
    • (2004)
    • Willis, J.1
  • 13
    • 33847770408 scopus 로고    scopus 로고
    • Coherent States Expectation Values as Semiclassical Trajectories
    • hep-th/0507255
    • N. C. Dias, A. Mikovic, and J. N. Prata, Coherent States Expectation Values as Semiclassical Trajectories, hep-th/0507255.
    • Dias, N.C.1    Mikovic, A.2    Prata, J.N.3
  • 14
    • 0001079075 scopus 로고
    • Time Dependent Variational Principle And The Effective Action
    • R. Jackiw and A. Kerman, Time Dependent Variational Principle And The Effective Action, Phys. Lett. A 71 (1979) 158-162
    • (1979) Phys. Lett. A , vol.71 , pp. 158-162
    • Jackiw, R.1    Kerman, A.2
  • 15
    • 33847782366 scopus 로고    scopus 로고
    • Effective theory for the cosmological generation of structure
    • in preparation
    • M. Bojowald and A. Skirzewski, Effective theory for the cosmological generation of structure, in preparation.
    • Bojowald, M.1    Skirzewski, A.2
  • 16
    • 17144374559 scopus 로고    scopus 로고
    • Nonstandard optics from quantum spacetime
    • gr-qc/9809038
    • R. Gambini and J. Pullin, Nonstandard optics from quantum spacetime, Phys. Rev. D 59 (1999), 124021, gr-qc/9809038
    • (1999) Phys. Rev. D , vol.59 , pp. 124021
    • Gambini, R.1    Pullin, J.2
  • 17
    • 0346727091 scopus 로고    scopus 로고
    • Quantum gravity corrections to neutrino propagation
    • gr-qc/9909079
    • J. Alfaro, H. A. Morales-Técotl, and L. F. Urrutia, Quantum gravity corrections to neutrino propagation, Phys. Rev. Lett. 84 (2000), 2318-2321, gr-qc/9909079
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2318-2321
    • Alfaro, J.1    Morales-Técotl, H.A.2    Urrutia, L.F.3
  • 18
    • 0037053141 scopus 로고    scopus 로고
    • Loop quantum gravity and light propagation
    • hepth/0108061
    • J. Alfaro, H. A. Morales-Técotl, and L. F. Urrutia, Loop quantum gravity and light propagation, Phys. Rev. D 65 (2002), 103509, hepth/ 0108061.
    • (2002) Phys. Rev. D , vol.65 , pp. 103509
    • Alfaro, J.1    Morales-Técotl, H.A.2    Urrutia, L.F.3
  • 19
    • 1842855789 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, UK
    • C. Rovelli, Quantum Gravity, Cambridge University Press, Cambridge, UK, 2004
    • (2004) Quantum Gravity
    • Rovelli, C.1
  • 20
    • 0037710158 scopus 로고    scopus 로고
    • Introduction to Modern Canonical Quantum General Relativity
    • gr-qc/0110034
    • T. Thiemann, Introduction to Modern Canonical Quantum General Relativity, gr-qc/0110034
    • Thiemann, T.1
  • 21
    • 4043142118 scopus 로고    scopus 로고
    • Background independent quantum gravity: A status report
    • gr-qc/0404018
    • A. Ashtekar and J. Lewandowski, Background independent quantum gravity: A status report, Class. Quantum Grav. 21 (2004), R53-R152, gr-qc/0404018
    • (2004) Class. Quantum Grav. , vol.21
    • Ashtekar, A.1    Lewandowski, J.2
  • 22
    • 84942866701 scopus 로고    scopus 로고
    • Loop Quantum Cosmology
    • gr-qc/0601085
    • M. Bojowald, Loop Quantum Cosmology, Living Rev. Relativity 8 (2005), 11, gr-qc/0601085, http://relativity.livingreviews.org/Articles/ lrr-2005-11/.
    • (2005) Living Rev. Relativity , vol.8 , pp. 11
    • Bojowald, M.1
  • 24
    • 33644584965 scopus 로고
    • New Hamiltonian Formulation of General Relativity
    • A. Ashtekar, New Hamiltonian Formulation of General Relativity, Phys. Rev. D 36 (1987), 1587-1602.
    • (1987) Phys. Rev. D , vol.36 , pp. 1587-1602
    • Ashtekar, A.1
  • 25
    • 22144440004 scopus 로고
    • Real Ashtekar Variables for Lorentzian Signature Space-Times
    • gr-qc/9410014
    • J. F. Barbero G., Real Ashtekar Variables for Lorentzian Signature Space-Times, Phys. Rev. D 51 (1995), 5507-5510, gr-qc/9410014.
    • (1995) Phys. Rev. D , vol.51 , pp. 5507-5510
    • Barbero, J.F.G.1
  • 26
    • 0039646461 scopus 로고    scopus 로고
    • Real and Complex Connections for Canonical Gravity
    • G. Immirzi, Real and Complex Connections for Canonical Gravity, Class. Quantum Grav. 14 (1997), L177-L181.
    • (1997) Class. Quantum Grav. , vol.14
    • Immirzi, G.1
  • 27
    • 33847786355 scopus 로고    scopus 로고
    • Loop Quantum Cosmology
    • PhD Thesis, The Pennsylvania State University
    • K. Vandersloot, Loop Quantum Cosmology, PhD Thesis, The Pennsylvania State University, 2006.
    • (2006)
    • Vandersloot, K.1
  • 28
    • 13344250498 scopus 로고
    • Loop Space Representation of Quantum General Relativity
    • C. Rovelli and L. Smolin, Loop Space Representation of Quantum General Relativity, Nucl. Phys. B 331 (1990), 80-152.
    • (1990) Nucl. Phys. B , vol.331 , pp. 80-152
    • Rovelli, C.1    Smolin, L.2
  • 29
    • 33748549372 scopus 로고    scopus 로고
    • Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
    • J. Lewandowski, A. Okolów, H. Sahlmann, and T. Thieman, Uniqueness of diffeomorphism invariant states on holonomy-flux algebras, Commun. Math. Phys. 267 (2006) 703-733
    • (2006) Commun. Math. Phys. , vol.267 , pp. 703-733
    • Lewandowski, J.1    Okołów, A.2    Sahlmann, H.3    Thieman, T.4
  • 30
    • 22544452555 scopus 로고    scopus 로고
    • Representations of the Weyl Algebra in Quantum Geometry
    • math-ph/0407006
    • C. Fleischhack, Representations of the Weyl Algebra in Quantum Geometry, math-ph/0407006.
    • Fleischhack, C.1
  • 31
    • 0007020922 scopus 로고
    • Discreteness of Area and Volume in Quantum Gravity
    • gr-qc/9411005, Erratum: Nucl. Phys. B 456 (1995) 753
    • C. Rovelli and L. Smolin, Discreteness of Area and Volume in Quantum Gravity, Nucl. Phys. B 442 (1995), 593-619, gr-qc/9411005, Erratum: Nucl. Phys. B 456 (1995) 753
    • (1995) Nucl. Phys. B , vol.442 , pp. 593-619
    • Rovelli, C.1    Smolin, L.2
  • 32
    • 0001979597 scopus 로고    scopus 로고
    • Quantum Theory of Geometry I: Area Operators
    • gr-qc/9602046
    • A. Ashtekar and J. Lewandowski, Quantum Theory of Geometry I: Area Operators, Class. Quantum Grav. 14 (1997), A55-A82, gr-qc/9602046
    • (1997) Class. Quantum Grav. , vol.14
    • Ashtekar, A.1    Lewandowski, J.2
  • 33
    • 0001037369 scopus 로고    scopus 로고
    • Quantum Theory of Geometry II: Volume Operators
    • gr-qc/9711031
    • A. Ashtekar and J. Lewandowski, Quantum Theory of Geometry II: Volume Operators, Adv. Theor. Math. Phys. 1 (1997), 388-429, gr-qc/9711031.
    • (1997) Adv. Theor. Math. Phys. , vol.1 , pp. 388-429
    • Ashtekar, A.1    Lewandowski, J.2
  • 34
    • 0032399747 scopus 로고    scopus 로고
    • Quantum Spin Dynamics (QSD)
    • gr-qc/9606089
    • T. Thiemann, Quantum Spin Dynamics (QSD), Class. Quantum Grav. 15 (1998), 839-873, gr-qc/9606089.
    • (1998) Class. Quantum Grav. , vol.15 , pp. 839-873
    • Thiemann, T.1
  • 35
    • 0032369376 scopus 로고    scopus 로고
    • QSD V: Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories
    • gr-qc/9705019
    • T. Thiemann, QSD V: Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories, Class. Quantum Grav. 15 (1998), 1281-1314, gr-qc/ 9705019.
    • (1998) Class. Quantum Grav. , vol.15 , pp. 1281-1314
    • Thiemann, T.1
  • 36
    • 33744572565 scopus 로고
    • Spin Networks and Quantum Gravity
    • C. Rovelli and L. Smolin, Spin Networks and Quantum Gravity, Phys. Rev. D 52 (1995), 5743-5759.
    • (1995) Phys. Rev. D , vol.52 , pp. 5743-5759
    • Rovelli, C.1    Smolin, L.2
  • 37
    • 4243237345 scopus 로고    scopus 로고
    • Inverse Scale Factor in Isotropic Quantum Geometry
    • gr-qc/0105067
    • M. Bojowald, Inverse Scale Factor in Isotropic Quantum Geometry, Phys. Rev. D 64 (2001), 084018, gr-qc/0105067.
    • (2001) Phys. Rev. D , vol.64 , pp. 084018
    • Bojowald, M.1
  • 38
    • 0043037241 scopus 로고    scopus 로고
    • Quantization ambiguities in isotropic quantum geometry
    • gr-qc/0206053
    • M. Bojowald, Quantization ambiguities in isotropic quantum geometry, Class. Quantum Grav. 19 (2002), 5113-5130, gr-qc/0206053
    • (2002) Class. Quantum Grav. , vol.19 , pp. 5113-5130
    • Bojowald, M.1
  • 40
    • 0041627402 scopus 로고    scopus 로고
    • Loop quantum cosmology, boundary proposals, and inflation
    • gr-qc/0303072
    • M. Bojowald and K. Vandersloot, Loop quantum cosmology, boundary proposals, and inflation, Phys. Rev. D 67 (2003), 124023, gr-qc/0303072.
    • (2003) Phys. Rev. D , vol.67 , pp. 124023
    • Bojowald, M.1    Vandersloot, K.2
  • 41
    • 1342268365 scopus 로고    scopus 로고
    • Homogeneous loop quantum cosmology: The role of the spin connection
    • gr-qc/0311004
    • M. Bojowald, G. Date, and K. Vandersloot, Homogeneous loop quantum cosmology: The role of the spin connection, Class. Quantum Gran. 21 (2004), 1253-1278, gr-qc/0311004
    • (2004) Class. Quantum Gran. , vol.21 , pp. 1253-1278
    • Bojowald, M.1    Date, G.2    Vandersloot, K.3
  • 42
    • 33644749158 scopus 로고    scopus 로고
    • Spherically Symmetric Quantum Geometry: Hamiltonian Constraint
    • gr-qc/0511108
    • M. Bojowald and R. Swiderski, Spherically Symmetric Quantum Geometry: Hamiltonian Constraint, Class. Quantum Gran. 23 (2006), 2129-2154, gr-qc/ 0511108.
    • (2006) Class. Quantum Gran. , vol.23 , pp. 2129-2154
    • Bojowald, M.1    Swiderski, R.2
  • 43
    • 0034336175 scopus 로고    scopus 로고
    • Symmetry Reduction for Quantized Diffeomorphism Invariant Theories of Connections
    • hepth/9907042
    • M. Bojowald and H. A. Kastrup, Symmetry Reduction for Quantized Diffeomorphism Invariant Theories of Connections, Class. Quantum Grav. 17 (2000), 3009-3043, hepth/9907042.
    • (2000) Class. Quantum Grav. , vol.17 , pp. 3009-3043
    • Bojowald, M.1    Kastrup, H.A.2
  • 44
    • 0036273244 scopus 로고    scopus 로고
    • Isotropic Loop Quantum Cosmology
    • gr-qc/0202077
    • M. Bojowald, Isotropic Loop Quantum Cosmology, Class. Quantum Grav. 19 (2002), 2717-2741, gr-qc/0202077.
    • (2002) Class. Quantum Grav. , vol.19 , pp. 2717-2741
    • Bojowald, M.1
  • 45
    • 77950334889 scopus 로고    scopus 로고
    • Mathematical structure of loop quantum cosmology
    • gr-qc/0304074
    • A. Ashtekar, M. Bojowald, and J. Lewandowski, Mathematical structure of loop quantum cosmology, Adv. Theor. Math. Phys. 7 (2003), 233-268, gr-qc/ 0304074.
    • (2003) Adv. Theor. Math. Phys. , vol.7 , pp. 233-268
    • Ashtekar, A.1    Bojowald, M.2    Lewandowski, J.3
  • 46
    • 0035538316 scopus 로고    scopus 로고
    • The Semiclassical Limit of Loop Quantum Cosmology
    • gr-qc/0105113
    • M. Bojowald, The Semiclassical Limit of Loop Quantum Cosmology, Class. Quantum Grav. 18 (2001), L109-L116, gr-qc/0105113
    • (2001) Class. Quantum Grav. , vol.18
    • Bojowald, M.1
  • 47
    • 8744296033 scopus 로고    scopus 로고
    • Effective Hamiltonian for Isotropic Loop Quantum Cosmology
    • gr-qc/0407073
    • G. Date and G. Hossain, Effective Hamiltonian for Isotropic Loop Quantum Cosmology, Class. Quantum Grav. 21 (2004), 4941-4953, gr-qc/0407073
    • (2004) Class. Quantum Grav. , vol.21 , pp. 4941-4953
    • Date, G.1    Hossain, G.2
  • 48
    • 37649031496 scopus 로고    scopus 로고
    • Coordinate time dependence in quantum gravity
    • gr-qc/0408094
    • M. Bojowald, P. Singh, and A. Skirzewski, Coordinate time dependence in quantum gravity, Phys. Rev. D 70 (2004), 124022, gr-qc/0408094
    • (2004) Phys. Rev. D , vol.70 , pp. 124022
    • Bojowald, M.1    Singh, P.2    Skirzewski, A.3
  • 49
    • 29744443736 scopus 로고    scopus 로고
    • Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology
    • gr-qc/0507029
    • P. Singh and K. Vandersloot, Semi-classical States, Effective Dynamics and Classical Emergence in Loop Quantum Cosmology, Phys. Rev. D 72 (2005), 084004, gr-qc/0507029.
    • (2005) Phys. Rev. D , vol.72 , pp. 084004
    • Singh, P.1    Vandersloot, K.2
  • 50
    • 0003826278 scopus 로고    scopus 로고
    • Cambridge University Press
    • J. Polchinski, String Theory, volume I and II, Cambridge University Press, 1998.
    • (1998) String Theory , vol.1-2
    • Polchinski, J.1
  • 54
    • 0001660767 scopus 로고
    • On The Renormalization Group Approach To String Equations Of Motion
    • A. A. Tseytlin, On The Renormalization Group Approach To String Equations Of Motion, Int. J. Mod. Phys. A 4 (1989), 4249.
    • (1989) Int. J. Mod. Phys. A , vol.4 , pp. 4249
    • Tseytlin, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.