메뉴 건너뛰기




Volumn 84, Issue 12, 2011, Pages

Fractional and noncommutative spacetimes

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84855329205     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.84.125002     Document Type: Article
Times cited : (42)

References (83)
  • 1
    • 84927057908 scopus 로고    scopus 로고
    • in edited by D. Oriti (Cambridge University Press, Cambridge, England
    • D. Oriti, in Approaches to Quantum Gravity, edited by, D. Oriti, (Cambridge University Press, Cambridge, England, 2009).
    • (2009) Approaches to Quantum Gravity
    • Oriti, D.1
  • 2
    • 79961063138 scopus 로고    scopus 로고
    • in edited by G. Ellis, J. Murugan, and A. Weltman (Cambridge University Press, Cambridge, England
    • D. Oriti, in Foundations of Space and Time, edited by, G. Ellis, J. Murugan, and, A. Weltman, (Cambridge University Press, Cambridge, England, 2011).
    • (2011) Foundations of Space and Time
    • Oriti, D.1
  • 3
    • 1842855789 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, England
    • C. Rovelli, Quantum Gravity (Cambridge University Press, Cambridge, England, 2006).
    • (2006) Quantum Gravity
    • Rovelli, C.1
  • 5
    • 0035668282 scopus 로고    scopus 로고
    • RPPHAG 0034-4885 10.1088/0034-4885/64/12/203
    • D. Oriti, Rep. Prog. Phys. RPPHAG 0034-4885 64, 1703 (2001). 10.1088/0034-4885/64/12/203
    • (2001) Rep. Prog. Phys. , vol.64 , pp. 1703
    • Oriti, D.1
  • 6
    • 0037272589 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/20/6/202
    • A. Perez, Classical Quantum Gravity 20, R43 (2003). CQGRDG 0264-9381 10.1088/0264-9381/20/6/202
    • (2003) Classical Quantum Gravity , vol.20 , pp. 43
    • Perez, A.1
  • 7
    • 63349094402 scopus 로고    scopus 로고
    • GRGVA8 0001-7701 10.1007/s10714-009-0769-y
    • H. Hamber, Gen. Relativ. Gravit. GRGVA8 0001-7701 41, 817 (2009). 10.1007/s10714-009-0769-y
    • (2009) Gen. Relativ. Gravit. , vol.41 , pp. 817
    • Hamber, H.1
  • 8
    • 0031206056 scopus 로고    scopus 로고
    • NPBSE7 0920-5632 10.1016/S0920-5632(97)00355-1
    • R.M. Williams, Nucl. Phys. B, Proc. Suppl. NPBSE7 0920-5632 57, 73 (1997). 10.1016/S0920-5632(97)00355-1
    • (1997) Nucl. Phys. B, Proc. Suppl. , vol.57 , pp. 73
    • Williams, R.M.1
  • 9
    • 44449146913 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/25/11/114006
    • R. Loll, Classical Quantum Gravity 25, 114006 (2008). CQGRDG 0264-9381 10.1088/0264-9381/25/11/114006
    • (2008) Classical Quantum Gravity , vol.25 , pp. 114006
    • Loll, R.1
  • 11
  • 12
    • 35649004277 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/24/18/R01
    • M. Niedermaier, Classical Quantum Gravity 24, R171 (2007). CQGRDG 0264-9381 10.1088/0264-9381/24/18/R01
    • (2007) Classical Quantum Gravity , vol.24 , pp. 171
    • Niedermaier, M.1
  • 16
    • 79953765658 scopus 로고    scopus 로고
    • 1742-6588 10.1088/1742-6596/283/1/012034
    • T.P. Sotiriou, J. Phys. Conf. Ser. 283, 012034 (2011). 1742-6588 10.1088/1742-6596/283/1/012034
    • (2011) J. Phys. Conf. Ser. , vol.283 , pp. 012034
    • Sotiriou, T.P.1
  • 17
    • 78649809654 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/27/22/223101
    • S. Mukohyama, Classical Quantum Gravity 27, 223101 (2010). CQGRDG 0264-9381 10.1088/0264-9381/27/22/223101
    • (2010) Classical Quantum Gravity , vol.27 , pp. 223101
    • Mukohyama, S.1
  • 19
    • 0037402478 scopus 로고    scopus 로고
    • Quantum field theory on noncommutative spaces
    • DOI 10.1016/S0370-1573(03)00059-0, PII S0370157303000590
    • R.J. Szabo, Phys. Rep. PRPLCM 0370-1573 378, 207 (2003). 10.1016/S0370-1573(03)00059-0 (Pubitemid 36412384)
    • (2003) Physics Reports , vol.378 , Issue.4 , pp. 207-299
    • Szabo, R.J.1
  • 22
    • 0007084601 scopus 로고    scopus 로고
    • JHEPFG 1029-8479 10.1088/1126-6708/1999/09/032
    • N. Seiberg and E. Witten, J. High Energy Phys. JHEPFG 1029-8479 09 (1999) 032. 10.1088/1126-6708/1999/09/032
    • J. High Energy Phys. , vol.1999 , Issue.9 , pp. 032
    • Seiberg, N.1    Witten, E.2
  • 23
  • 24
    • 3142580415 scopus 로고    scopus 로고
    • Quantum symmetry, the cosmological constant and Planck-scale phenomenology
    • DOI 10.1088/0264-9381/21/13/002, PII S0264938104756506
    • G. Amelino-Camelia, L. Smolin, and A. Starodubtsev, Classical Quantum Gravity 21, 3095 (2004). CQGRDG 0264-9381 10.1088/0264-9381/21/13/002 (Pubitemid 38904345)
    • (2004) Classical and Quantum Gravity , vol.21 , Issue.13 , pp. 3095-3110
    • Amelino-Camelia, G.1    Smolin, L.2    Starodubtsev, A.3
  • 25
    • 1642397123 scopus 로고    scopus 로고
    • 2+1 gravity and doubly special relativity
    • DOI 10.1103/PhysRevD.69.044001
    • L. Freidel, J. Kowalski-Glikman, and L. Smolin, Phys. Rev. D PRVDAQ 0556-2821 69, 044001 (2004). 10.1103/PhysRevD.69.044001 (Pubitemid 44643180)
    • (2004) Physical Review D , vol.69 , Issue.4 , pp. 044001
    • Freidel, L.1    Kowalski-Glikman, J.2    Smolin, L.3
  • 28
    • 0000776222 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(94)90699-8
    • S. Majid and H. Ruegg, Phys. Lett. B 334, 348 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)90699-8
    • (1994) Phys. Lett. B , vol.334 , pp. 348
    • Majid, S.1    Ruegg, H.2
  • 30
    • 0032354454 scopus 로고    scopus 로고
    • Quantum mechanics of a point particle in (2 + 1)-dimensional gravity
    • DOI 10.1088/0264-9381/15/10/008
    • H.-J. Matschull and M. Welling, Classical Quantum Gravity 15, 2981 (1998). CQGRDG 0264-9381 10.1088/0264-9381/15/10/008 (Pubitemid 128140437)
    • (1998) Classical and Quantum Gravity , vol.15 , Issue.10 , pp. 2981-3030
    • Matschull, H.-J.1    Welling, M.2
  • 31
    • 0009662469 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(84)90085-X
    • S. Deser, R. Jackiw, and G. 't Hooft, Ann. Phys. (N.Y.) APNYA6 0003-4916 152, 220 (1984). 10.1016/0003-4916(84)90085-X
    • (1984) Ann. Phys. (N.Y.) , vol.152 , pp. 220
    • Deser, S.1    Jackiw, R.2    'T Hooft, G.3
  • 33
    • 77954123692 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.104.251301
    • G. Calcagni, Phys. Rev. Lett. 104, 251301 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.251301
    • (2010) Phys. Rev. Lett. , vol.104 , pp. 251301
    • Calcagni, G.1
  • 34
    • 77954924610 scopus 로고    scopus 로고
    • JHEPFG 1029-8479 10.1007/JHEP03(2010)120
    • G. Calcagni, J. High Energy Phys. JHEPFG 1029-8479 03 (2010) 120. 10.1007/JHEP03(2010)120
    • J. High Energy Phys. , vol.2010 , Issue.3 , pp. 120
    • Calcagni, G.1
  • 35
    • 79951517479 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/j.physletb.2011.01.063
    • G. Calcagni, Phys. Lett. B 697, 251 (2011). PYLBAJ 0370-2693 10.1016/j.physletb.2011.01.063
    • (2011) Phys. Lett. B , vol.697 , pp. 251
    • Calcagni, G.1
  • 36
    • 80053902836 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.84.061501
    • G. Calcagni, Phys. Rev. D PRVDAQ 1550-7998 84, 061501(R) (2011). 10.1103/PhysRevD.84.061501
    • (2011) Phys. Rev. D , vol.84
    • Calcagni, G.1
  • 37
    • 84855297603 scopus 로고    scopus 로고
    • arXiv:1106.5787.
    • G. Calcagni, arXiv:1106.5787.
    • Calcagni, G.1
  • 38
    • 84855321772 scopus 로고    scopus 로고
    • arXiv:1107.5041.
    • G. Calcagni, arXiv:1107.5041.
    • Calcagni, G.1
  • 40
    • 85034244663 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.102.111303
    • D. Benedetti, Phys. Rev. Lett. 102, 111303 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.111303
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 111303
    • Benedetti, D.1
  • 45
    • 0037332785 scopus 로고    scopus 로고
    • Integrals and derivatives on net fractals
    • DOI 10.1016/S0960-0779(02)00211-4, PII S0960077902002114
    • F.-Y. Ren, J.-R. Liang, X.-T. Wang, and W.-Y. Qiu, Chaos Solitons Fractals CSFOEH 0960-0779 16, 107 (2003). 10.1016/S0960-0779(02)00211-4 (Pubitemid 35350066)
    • (2003) Chaos, Solitons and Fractals , vol.16 , Issue.1 , pp. 107-117
    • Ren, F.-Y.1    Liang, J.-R.2    Wang, X.-T.3    Qiu, W.-Y.4
  • 46
    • 24344479975 scopus 로고    scopus 로고
    • Is there geometrical/physical meaning of the fractional integral with complex exponent?
    • DOI 10.1016/j.jnoncrysol.2005.05.035, PII S0022309305004874
    • R.R. Nigmatullin and A. Le Méhauté, J. Non-Cryst. Solids 351, 2888 (2005). JNCSBJ 0022-3093 10.1016/j.jnoncrysol.2005.05.035 (Pubitemid 41252540)
    • (2005) Journal of Non-Crystalline Solids , vol.351 , Issue.SPEC. ISS. 33-36 , pp. 2888-2899
    • Nigmatullin, R.R.1    Le Mehaute, A.2
  • 47
    • 0000448397 scopus 로고    scopus 로고
    • PRPLCM 0370-1573 10.1016/S0370-1573(97)00076-8
    • D. Sornette, Phys. Rep. PRPLCM 0370-1573 297, 239 (1998). 10.1016/S0370-1573(97)00076-8
    • (1998) Phys. Rep. , vol.297 , pp. 239
    • Sornette, D.1
  • 48
    • 0009525360 scopus 로고
    • ZEPYAA 0044-3328 10.1007/BF02055756
    • H. Weyl, Z. Phys. ZEPYAA 0044-3328 46, 1 (1927); 10.1007/BF02055756
    • (1927) Z. Phys. , vol.46 , pp. 1
    • Weyl, H.1
  • 50
    • 84855322526 scopus 로고    scopus 로고
    • arXiv:math/0003107.
    • S. Gutt, arXiv:math/0003107.
    • Gutt, S.1
  • 52
    • 0034559679 scopus 로고    scopus 로고
    • Local field theory on kappa-Minkowski space, star products and noncommutative translations
    • DOI 10.1023/A:1022821310096
    • P. Kosiński, J. Lukierski, and P. Malanka, Czech. J. Phys. 50, 1283 (2000). CZLIA6 0011-4626 10.1023/A:1022821310096 (Pubitemid 33224049)
    • (2000) Czechoslovak Journal of Physics , vol.50 , Issue.11 , pp. 1283-1290
    • Kosinski, P.1    Maslanka, P.2    Lukierski, J.3
  • 53
  • 55
    • 18144412427 scopus 로고    scopus 로고
    • New concept of relativistic invariance in noncommutative space-time: Twisted Poincaré symmetry and its implications
    • DOI 10.1103/PhysRevLett.94.151602, 151602
    • M. Chaichian, P. Prenajder, and A. Tureanu, Phys. Rev. Lett. 94, 151602 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.151602 (Pubitemid 40620351)
    • (2005) Physical Review Letters , vol.94 , Issue.15 , pp. 1-4
    • Chaichian, M.1    Presnajder, P.2    Tureanu, A.3
  • 58
    • 36349016182 scopus 로고    scopus 로고
    • CQGRDG 0264-9381 10.1088/0264-9381/24/20/021
    • W. Fairbairn and E. Livine, Classical Quantum Gravity 24, 5277 (2007). CQGRDG 0264-9381 10.1088/0264-9381/24/20/021
    • (2007) Classical Quantum Gravity , vol.24 , pp. 5277
    • Fairbairn, W.1    Livine, E.2
  • 59
    • 77649196527 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.81.024015
    • F. Girelli, E. Livine, and D. Oriti, Phys. Rev. D PRVDAQ 1550-7998 81, 024015 (2010). 10.1103/PhysRevD.81.024015
    • (2010) Phys. Rev. D , vol.81 , pp. 024015
    • Girelli, F.1    Livine, E.2    Oriti, D.3
  • 60
    • 74349104858 scopus 로고    scopus 로고
    • 1742-6588 10.1088/1742-6596/174/1/012047
    • D. Oriti, J. Phys. Conf. Ser. 174, 012047 (2009). 1742-6588 10.1088/1742-6596/174/1/012047
    • (2009) J. Phys. Conf. Ser. , vol.174 , pp. 012047
    • Oriti, D.1
  • 63
    • 0036344664 scopus 로고    scopus 로고
    • IMPDEO 0218-2718 10.1142/S0218271802001330
    • G. Amelino-Camelia, Int. J. Mod. Phys. D 11, 35 (2002). IMPDEO 0218-2718 10.1142/S0218271802001330
    • (2002) Int. J. Mod. Phys. D , vol.11 , pp. 35
    • Amelino-Camelia, G.1
  • 64
    • 0037063103 scopus 로고    scopus 로고
    • PYLBAJ 0370-2693 10.1016/S0370-2693(02)02063-4
    • J. Kowalski-Glikman and S. Nowak, Phys. Lett. B 539, 126 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)02063-4
    • (2002) Phys. Lett. B , vol.539 , pp. 126
    • Kowalski-Glikman, J.1    Nowak, S.2
  • 65
    • 0037091731 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.65.084044
    • G. Amelino-Camelia and M. Arzano, Phys. Rev. D PRVDAQ 0556-2821 65, 084044 (2002). 10.1103/PhysRevD.65.084044
    • (2002) Phys. Rev. D , vol.65 , pp. 084044
    • Amelino-Camelia, G.1    Arzano, M.2
  • 66
    • 38349122184 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.77.025013
    • M. Arzano, Phys. Rev. D PRVDAQ 1550-7998 77, 025013 (2008). 10.1103/PhysRevD.77.025013
    • (2008) Phys. Rev. D , vol.77 , pp. 025013
    • Arzano, M.1
  • 69
    • 79551563256 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.83.025025
    • M. Arzano, Phys. Rev. D PRVDAQ 1550-7998 83, 025025 (2011). 10.1103/PhysRevD.83.025025
    • (2011) Phys. Rev. D , vol.83 , pp. 025025
    • Arzano, M.1
  • 70
    • 36849048161 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.76.125005
    • M. Arzano and A. Marcianò, Phys. Rev. D PRVDAQ 1550-7998 76, 125005 (2007). 10.1103/PhysRevD.76.125005
    • (2007) Phys. Rev. D , vol.76 , pp. 125005
    • Arzano, M.1    Marcianò, A.2
  • 74
    • 0035486599 scopus 로고    scopus 로고
    • Noncommutative field theory
    • DOI 10.1103/RevModPhys.73.977
    • M.R. Douglas and N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001). RMPHAT 0034-6861 10.1103/RevModPhys.73.977 (Pubitemid 33395905)
    • (2001) Reviews of Modern Physics , vol.73 , Issue.4 , pp. 977-1029
    • Douglas, M.R.1    Nekrasov, N.A.2
  • 76
    • 0141838120 scopus 로고    scopus 로고
    • Dimensions and singular traces for spectral triples, with applications to fractals
    • DOI 10.1016/S0022-1236(03)00230-1
    • D. Guido and T. Isola, J. Funct. Anal. 203, 362 (2003). JFUAAW 0022-1236 10.1016/S0022-1236(03)00230-1 (Pubitemid 37195019)
    • (2003) Journal of Functional Analysis , vol.203 , Issue.2 , pp. 362-400
    • Guido, D.1    Isola, T.2
  • 77
  • 78
    • 33646429206 scopus 로고    scopus 로고
    • The notion of dimension in geometry and algebra
    • DOI 10.1090/S0273-0979-06-01081-0, PII S0273097906010810
    • Y.I. Manin, Bull. Am. Math. Soc. 43, 139 (2006). BAMOAD 0002-9904 10.1090/S0273-0979-06-01081-0 (Pubitemid 43681514)
    • (2006) Bulletin of the American Mathematical Society , vol.43 , Issue.2 , pp. 139-161
    • Manin, Y.I.1
  • 79
    • 0011094438 scopus 로고    scopus 로고
    • The quantum geometry of spin and statistics
    • DOI 10.1016/S0393-0440(01)00016-X, PII S039304400100016X
    • R. Oeckl, J. Geom. Phys. 39, 233 (2001). JGPHE5 0393-0440 10.1016/S0393-0440(01)00016-X (Pubitemid 33640122)
    • (2001) Journal of Geometry and Physics , vol.39 , Issue.3 , pp. 233-252
    • Oeckl, R.1
  • 80
    • 38549124286 scopus 로고    scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.118.785
    • Y. Sasa and N. Sasakura, Prog. Theor. Phys. 118, 785 (2007). PTPKAV 0033-068X 10.1143/PTP.118.785
    • (2007) Prog. Theor. Phys. , vol.118 , pp. 785
    • Sasa, Y.1    Sasakura, N.2
  • 82
    • 70350549846 scopus 로고    scopus 로고
    • IMPAEF 0217-751X 10.1142/S0217751X09045881
    • M. Arzano and D. Benedetti, Int. J. Mod. Phys. A 24, 4623 (2009). IMPAEF 0217-751X 10.1142/S0217751X09045881
    • (2009) Int. J. Mod. Phys. A , vol.24 , pp. 4623
    • Arzano, M.1    Benedetti, D.2
  • 83
    • 79960775467 scopus 로고    scopus 로고
    • PRVDAQ 1550-7998 10.1103/PhysRevD.83.104051
    • A. Baratin, F. Girelli, and D. Oriti, Phys. Rev. D PRVDAQ 1550-7998 83, 104051 (2011). 10.1103/PhysRevD.83.104051
    • (2011) Phys. Rev. D , vol.83 , pp. 104051
    • Baratin, A.1    Girelli, F.2    Oriti, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.