메뉴 건너뛰기




Volumn 26, Issue 15, 2009, Pages

From lattice BF gauge theory to area-angle regge calculus

Author keywords

[No Author keywords available]

Indexed keywords


EID: 70349501253     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/26/15/155020     Document Type: Article
Times cited : (44)

References (48)
  • 1
    • 51649208939 scopus 로고
    • General relativity without coordinates
    • Regge T 1961 General relativity without coordinates Nuovo Cimento 19 558
    • (1961) Nuovo Cimento , vol.19 , Issue.3 , pp. 558
    • Regge, T.1
  • 2
    • 0034385504 scopus 로고    scopus 로고
    • Discrete structures in gravity
    • Regge T and Williams R M 2000 Discrete structures in gravity J. Math. Phys. 41 3964 (arXiv:gr-qc/0012035)
    • (2000) J. Math. Phys. , vol.41 , Issue.6 , pp. 3964
    • Regge, T.1    Williams, R.M.2
  • 3
    • 84943156758 scopus 로고    scopus 로고
    • Discrete approaches to quantum gravity in four dimensions
    • Loll R 1998 Discrete approaches to quantum gravity in four dimensions Living Rev. Rel. 1 13 (arXiv:gr-qc/9805049)
    • (1998) Living Rev. Rel. , vol.1 , pp. 13
    • Loll, R.1
  • 6
    • 21844527063 scopus 로고
    • First-order Regge calculus
    • Barrett J W 1994 First-order Regge calculus Class. Quantum Grav. 11 2723 (arXiv:hep-th/9404124)
    • (1994) Class. Quantum Grav. , vol.11 , Issue.11 , pp. 2723
    • Barrett, J.W.1
  • 7
    • 0034700404 scopus 로고    scopus 로고
    • Variation of area variables in Regge calculus
    • Makela J 2000 Variation of area variables in Regge calculus Class. Quantum Grav. 17 4991 (arXiv:gr-qc/9801022)
    • (2000) Class. Quantum Grav. , vol.17 , Issue.24 , pp. 4991
    • Makela, J.1
  • 8
    • 0035530321 scopus 로고    scopus 로고
    • Constraints on area variables in Regge calculus
    • Makela J and Williams R M 2001 Constraints on area variables in Regge calculus Class. Quantum Grav. 18 L43 (arXiv:gr-qc/0011006)
    • (2001) Class. Quantum Grav. , vol.18 , Issue.4 , pp. 43
    • Makela, J.1    Williams, R.M.2
  • 9
    • 49349091774 scopus 로고    scopus 로고
    • Area-angle variables for general relativity
    • Dittrich B and Speziale S 2008 Area-angle variables for general relativity New J. Phys. 10 083006 (arXiv:0802.0864 [gr-qc])
    • (2008) New J. Phys. , vol.10 , Issue.8 , pp. 083006
    • Dittrich, B.1    Speziale, S.2
  • 10
    • 0032396211 scopus 로고    scopus 로고
    • Spin foam models
    • Baez J C 1998 Spin foam models Class. Quantum Grav. 15 1827 (arXiv:gr-qc/9709052)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.7 , pp. 1827
    • Baez, J.C.1
  • 12
    • 10844256517 scopus 로고    scopus 로고
    • Ponzano-Regge model revisited: I. Gauge fixing, observables and interacting spinning particles
    • Freidel L and Louapre D 2004 Ponzano-Regge model revisited: I. Gauge fixing, observables and interacting spinning particles Class. Quantum Grav. 21 5685 (arXiv:hep-th/0401076)
    • (2004) Class. Quantum Grav. , vol.21 , Issue.24 , pp. 5685
    • Freidel, L.1    Louapre, D.2
  • 13
    • 0002154158 scopus 로고
    • Strong coupling and mean field methods in lattice gauge theories
    • Drouffe J M and Zuber J B 1983 Strong coupling and mean field methods in lattice gauge theories Phys. Rep. 102 1
    • (1983) Phys. Rep. , vol.102 , Issue.1-2 , pp. 1
    • Drouffe, J.M.1    Zuber, J.B.2
  • 15
    • 0001903332 scopus 로고    scopus 로고
    • An introduction to spin foam models of quantum gravity and BF theory
    • Baez J C 2000 An introduction to spin foam models of quantum gravity and BF theory Lect. Notes Phys. 543 25 (arXiv:gr-qc/9905087)
    • (2000) Lect. Notes Phys. , vol.543 , pp. 25
    • Baez, J.C.1
  • 16
    • 36749117156 scopus 로고
    • On the separation of Einsteinian substructures
    • Plebanski J F 1977 On the separation of Einsteinian substructures J. Math. Phys. 18 2511
    • (1977) J. Math. Phys. , vol.18 , Issue.12 , pp. 2511
    • Plebanski, J.F.1
  • 18
    • 0033243648 scopus 로고    scopus 로고
    • So(4) Plebanski action and relativistic spin foam model
    • De Pietri R and Freidel L 1999 So(4) Plebanski action and relativistic spin foam model Class. Quantum Grav. 16 2187 (arXiv:gr-qc/9804071)
    • (1999) Class. Quantum Grav. , vol.16 , Issue.7 , pp. 2187
    • De Pietri, R.1    Freidel, L.2
  • 20
    • 41949090699 scopus 로고    scopus 로고
    • Flipped spinfoam vertex and loop gravity
    • Engle J, Pereira R and Rovelli C 2008 Flipped spinfoam vertex and loop gravity Nucl. Phys. B 798 251 (arXiv:0708.1236 [gr-qc])
    • (2008) Nucl. Phys. , vol.798 , Issue.1-2 , pp. 251
    • Engle, J.1    Pereira, R.2    Rovelli, C.3
  • 21
    • 42749086206 scopus 로고    scopus 로고
    • LQG vertex with finite Immirzi parameter
    • Engle J, Livine E, Pereira R and Rovelli C 2008 LQG vertex with finite Immirzi parameter Nucl. Phys. B 799 136 (arXiv:0711.0146 [gr-qc])
    • (2008) Nucl. Phys. , vol.799 , Issue.1-2 , pp. 136
    • Engle, J.1    Livine, E.2    Pereira, R.3    Rovelli, C.4
  • 22
    • 46649118636 scopus 로고    scopus 로고
    • A new spin foam model for 4D gravity
    • Freidel L and Krasnov K 2008 A new spin foam model for 4D gravity Class. Quantum Grav. 25 125018 (arXiv:0708.1595 [gr-qc])
    • (2008) Class. Quantum Grav. , vol.25 , Issue.12 , pp. 125018
    • Freidel, L.1    Krasnov, K.2
  • 23
    • 67649755998 scopus 로고    scopus 로고
    • Path integral representation of spin foam models of 4D gravity
    • Conrady F and Freidel L 2008 Path integral representation of spin foam models of 4D gravity Class. Quantum Grav. 25 245010 (arXiv:0806.4640 [gr-qc])
    • (2008) Class. Quantum Grav. , vol.25 , Issue.24 , pp. 245010
    • Conrady, F.1    Freidel, L.2
  • 24
    • 57149123943 scopus 로고    scopus 로고
    • On the semiclassical limit of 4d spin foam models
    • Conrady F and Freidel L 2008 On the semiclassical limit of 4d spin foam models Phys. Rev. D 78 104023 (arXiv:0809.2280 [gr-qc])
    • (2008) Phys. Rev. , vol.78 , Issue.10 , pp. 104023
    • Conrady, F.1    Freidel, L.2
  • 26
    • 0032507529 scopus 로고    scopus 로고
    • Quantum tetrahedra and simplicial spin networks
    • Barbieri A 1998 Quantum tetrahedra and simplicial spin networks Nucl. Phys. B 51 714-28 (arXiv:gr-qc/9707010)
    • (1998) Nucl. Phys. , vol.518 , Issue.3 , pp. 714-728
    • Barbieri, A.1
  • 27
    • 0032396211 scopus 로고    scopus 로고
    • Spin foam models
    • Baez J C 1998 Spin foam models Class. Quantum Grav. 15 1827 (arXiv:gr-qc/9709052)
    • (1998) Class. Quantum Grav. , vol.15 , Issue.7 , pp. 1827
    • Baez, J.C.1
  • 28
    • 79551499848 scopus 로고    scopus 로고
    • The quantum tetrahedron in three-dimensions and four-dimensions
    • Baez J C and Barrett J W 1999 The quantum tetrahedron in three-dimensions and four-dimensions Adv. Theor. Math. Phys. 3 815-50 (arXiv:gr-qc/9903060)
    • (1999) Adv. Theor. Math. Phys. , vol.3 , pp. 815-850
    • Baez, J.C.1    Barrett, J.W.2
  • 29
    • 35648968233 scopus 로고    scopus 로고
    • New spinfoam vertex for quantum gravity
    • Livine E R and Speziale S 2007 New spinfoam vertex for quantum gravity Phys. Rev. D 76 084028 (arXiv:0705.0674 [gr-qc])
    • (2007) Phys. Rev. , vol.76 , Issue.8 , pp. 084028
    • Livine, E.R.1    Speziale, S.2
  • 30
    • 79051469154 scopus 로고    scopus 로고
    • Solving the simplicity constraints for spinfoam quantum gravity
    • Livine E R and Speziale S 2008 Solving the simplicity constraints for spinfoam quantum gravity Europhys. Lett. 81 50004 (arXiv:0708.1915 [gr-qc])
    • (2008) Europhys. Lett. , vol.81 , Issue.5 , pp. 50004
    • Livine, E.R.1    Speziale, S.2
  • 33
    • 0032362859 scopus 로고    scopus 로고
    • Relativistic spin networks and quantum gravity
    • Barrett J W and Crane L 1998 Relativistic spin networks and quantum gravity J. Math. Phys. 39 3296 (arXiv:gr-qc/9709028)
    • (1998) J. Math. Phys. , vol.39 , Issue.6 , pp. 3296
    • Barrett, J.W.1    Crane, L.2
  • 34
    • 0001603179 scopus 로고    scopus 로고
    • Spin foam models and the classical action principle
    • Freidel L and Krasnov K 1999 Spin foam models and the classical action principle Adv. Theor. Math. Phys. 2 1183 (arXiv:hep-th/9807092)
    • (1999) Adv. Theor. Math. Phys. , vol.2 , pp. 1183
    • Freidel, L.1    Krasnov, K.2
  • 36
    • 0013006018 scopus 로고
    • Exactly soluble diffeomorphism invariant theories
    • Horowitz G T 1989 Exactly soluble diffeomorphism invariant theories Commun. Math. Phys. 125 417
    • (1989) Commun. Math. Phys. , vol.125 , Issue.3 , pp. 417
    • Horowitz, G.T.1
  • 37
    • 1542658135 scopus 로고
    • Topological gauge theories of antisymmetric tensor fields
    • Blau M and Thompson G 1991 Topological gauge theories of antisymmetric tensor fields Ann. Phys. 205 130
    • (1991) Ann. Phys. , vol.205 , Issue.1 , pp. 130
    • Blau, M.1    Thompson, G.2
  • 38
    • 0000480234 scopus 로고
    • Regge calculus as a local theory of the Poincare group
    • Caselle M, D'Adda A and Magnea L 1989 Regge calculus as a local theory of the Poincare group Phys. Lett. B 232 457
    • (1989) Phys. Lett. , vol.232 , Issue.4 , pp. 457
    • Caselle, M.1    D'Adda, A.2    Magnea, L.3
  • 39
    • 0000179020 scopus 로고
    • Lattice gauge gravity with fermions
    • Kawamoto N and Nielsen H B 1991 Lattice gauge gravity with fermions Phys. Rev. D 43 1150
    • (1991) Phys. Rev. , vol.43 , Issue.4 , pp. 1150
    • Kawamoto, N.1    Nielsen, H.B.2
  • 42
    • 0001569507 scopus 로고
    • Topological lattice models in four-dimensions
    • Ooguri H 1992 Topological lattice models in four-dimensions Mod. Phys. Lett. A 7 2799 (arXiv:hep-th/9205090)
    • (1992) Mod. Phys. Lett. , vol.7 , Issue.30 , pp. 2799
    • Ooguri, H.1
  • 43
    • 0000461946 scopus 로고
    • The basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model in the loop representation basis
    • Rovelli C 1993 The basis of the Ponzano-Regge-Turaev-Viro-Ooguri quantum gravity model in the loop representation basis Phys. Rev. D 48 2702
    • (1993) Phys. Rev. , vol.48 , Issue.6 , pp. 2702
    • Rovelli, C.1
  • 45
    • 68949161977 scopus 로고    scopus 로고
    • A note on B-observables in Ponzano-Regge 3d quantum gravity
    • Livine E R and Ryan J P 2009 A note on B-observables in Ponzano-Regge 3d quantum gravity Class. Quantum Grav. 26 035013 (arXiv:0808.0025 [gr-qc])
    • (2009) Class. Quantum Grav. , vol.26 , Issue.3 , pp. 035013
    • Livine, E.R.1    Ryan, J.P.2
  • 46
    • 0041020420 scopus 로고    scopus 로고
    • Operators for quantized directions
    • Major S A 1999 Operators for quantized directions Class. Quantum Grav. 16 3859 (arXiv:gr-qc/9905019)
    • (1999) Class. Quantum Grav. , vol.16 , Issue.12 , pp. 3859
    • Major, S.A.1
  • 47
    • 33846216005 scopus 로고    scopus 로고
    • Group integral techniques for the spinfoam graviton propagator
    • Livine E R and Speziale S 2006 Group integral techniques for the spinfoam graviton propagator J. High Energy Phys. JHEP06(2006)092 (arXiv:gr-qc/0608131)
    • (2006) J. High Energy Phys. , vol.2006 , Issue.6 , pp. 092
    • Livine, E.R.1    Speziale, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.