메뉴 건너뛰기




Volumn , Issue 3, 2006, Pages 427-461

Planar N = 4 gauge theory and the Hubbard model

Author keywords

AdS CFT Correspondence; Bethe Ansatz; Lattice Integrable Models; Supersymmetric gauge theory

Indexed keywords


EID: 33645652808     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/03/018     Document Type: Article
Times cited : (106)

References (73)
  • 1
    • 23044454343 scopus 로고    scopus 로고
    • The Bethe-ansatz for N Combining double low line 4 super Yang-Mills
    • 1126-6708 013
    • J.A. Minahan and K. Zarembo, The Bethe-ansatz for N Combining double low line 4 super Yang-Mills 2003 J. High Energy Phys. JHEP03(2003)013 [hep-th/0212208]
    • (2003) J. High Energy Phys. , vol.2003 , Issue.3 , pp. 013
    • Minahan, J.A.1    Zarembo, K.2
  • 2
    • 0141793871 scopus 로고    scopus 로고
    • The N Combining double low line 4 SYM integrable super spin chain
    • 10.1016/j.nuclphysb.2003.08.015 0550-3213 B
    • N. Beisert and M. Staudacher, The N Combining double low line 4 SYM integrable super spin chain 2003 Nucl. Phys. B 670 439 [hep-th/0307042]
    • (2003) Nucl. Phys. , vol.670 , pp. 439
    • Beisert, N.1    Staudacher, M.2
  • 3
    • 0038441814 scopus 로고    scopus 로고
    • The dilatation operator of N Combining double low line 4 super Yang-Mills theory
    • 10.1016/S0550-3213(03)00406-1 0550-3213 B
    • N. Beisert, C. Kristjansen and M. Staudacher, The dilatation operator of N Combining double low line 4 super Yang-Mills theory 2003 Nucl. Phys. B 664 131 [hep-th/0303060]
    • (2003) Nucl. Phys. , vol.664 , pp. 131
    • Beisert, N.1    Kristjansen, C.2    Staudacher, M.3
  • 4
    • 1242344789 scopus 로고    scopus 로고
    • The (2|3) dynamic spin chain
    • 10.1016/j.nuclphysb.2003.12.032 0550-3213 B
    • N. Beisert, The (2|3) dynamic spin chain, 2004 Nucl. Phys. B 682 487 [hep-th/0310252]
    • (2004) Nucl. Phys. , vol.682 , pp. 487
    • Beisert, N.1
  • 5
    • 15344348859 scopus 로고    scopus 로고
    • A three-loop test of the dilatation operator in N Combining double low line 4 SYM
    • 10.1016/j.nuclphysb.2005.01.036 0550-3213 B
    • B. Eden, C. Jarczak and E. Sokatchev, A three-loop test of the dilatation operator in N Combining double low line 4 SYM 2005 Nucl. Phys. B 712 157 [hep-th/0409009]
    • (2005) Nucl. Phys. , vol.712 , Issue.1-2 , pp. 157
    • Eden, B.1    Jarczak, C.2    Sokatchev, E.3
  • 6
    • 3242881081 scopus 로고    scopus 로고
    • Planar N Combining double low line 4 gauge theory and the Inozemtsev long range spin chain
    • 1126-6708 001
    • D. Serban and M. Staudacher, Planar N Combining double low line 4 gauge theory and the Inozemtsev long range spin chain 2004 J. High Energy Phys. JHEP06(2004)001 [hep-th/0401057]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.6 , pp. 001
    • Serban, D.1    Staudacher, M.2
  • 7
    • 23044513536 scopus 로고    scopus 로고
    • A novel long range spin chain and planar N Combining double low line 4 super Yang-Mills
    • 1126-6708 075
    • N. Beisert, V. Dippel and M. Staudacher, A novel long range spin chain and planar N Combining double low line 4 super Yang-Mills 2004 J. High Energy Phys. JHEP07(2004)075 [hep-th/0405001]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.7 , pp. 075
    • Beisert, N.1    Dippel, V.2    Staudacher, M.3
  • 8
    • 0042559192 scopus 로고    scopus 로고
    • Strings in flat space and pp waves from N Combining double low line 4 super Yang-Mills
    • 1126-6708 013
    • D. Berenstein, J.M. Maldacena and H. Nastase, Strings in flat space and pp waves from N Combining double low line 4 super Yang-Mills 2002 J. High Energy Phys. JHEP04(2002)013 [hep-th/0202021]
    • (2002) J. High Energy Phys. , vol.2002 , Issue.4 , pp. 013
    • Berenstein, D.1    Maldacena, J.M.2    Nastase, H.3
  • 9
    • 10944265513 scopus 로고    scopus 로고
    • The dilatation operator of N Combining double low line 4 super Yang-Mills theory and integrability
    • 10.1016/j.physrep.2004.09.007 0370-1573
    • N. Beisert, The dilatation operator of N Combining double low line 4 super Yang-Mills theory and integrability 2005 Phys. Rep. 405 1 [hep-th/0407277]
    • (2005) Phys. Rep. , vol.405 , Issue.1-3 , pp. 1
    • Beisert, N.1
  • 10
    • 4244004542 scopus 로고
    • Low-lying eigenstates of the one-dimensional Heisenberg ferromagnet for any magnetization and momentum
    • 10.1103/PhysRevLett.74.816 0031-9007
    • B. Sutherland, Low-lying eigenstates of the one-dimensional Heisenberg ferromagnet for any magnetization and momentum 1995 Phys. Rev. Lett. 74 816
    • (1995) Phys. Rev. Lett. , vol.74 , Issue.5 , pp. 816
    • Sutherland, B.1
  • 14
    • 0037361516 scopus 로고    scopus 로고
    • Integrable Heisenberg-Van Vleck chains with variable range exchange
    • V.I. Inozemtsev, Integrable Heisenberg-Van Vleck chains with variable range exchange 2003 Phys. Part. Nucl. 34 (2003) 166 [Fiz. Elem. Chast. Atom. Yadra 34 332] [hep-th/0201001]
    • (2003) Phys. Part. Nucl. , vol.34
    • Inozemtsev, V.I.1
  • 16
    • 0043141369 scopus 로고
    • Absence of Mott transition in an exact solution of the short-range, one-band model in one dimension
    • 10.1103/PhysRevLett.20.1445 0031-9007
    • E.H. Lieb and F.Y. Wu, Absence of Mott transition in an exact solution of the short-range, one-band model in one dimension 1968 Phys. Rev. Lett. 20 1445
    • (1968) Phys. Rev. Lett. , vol.20 , Issue.25 , pp. 1445
    • Lieb, E.H.1    Wu, F.Y.2
  • 17
    • 4243383153 scopus 로고
    • 10.1103/PhysRevLett.21.192.2 0031-9007
    • E.H. Lieb and F.Y. Wu, erratum 1968 Phys. Rev. Lett. 21 192
    • (1968) Phys. Rev. Lett. , vol.21 , Issue.3 , pp. 192
    • Lieb, E.H.1    Wu, F.Y.2
  • 20
    • 0007266665 scopus 로고    scopus 로고
    • An introduction to the Bethe ansatz
    • B. Sutherland, An introduction to the Bethe ansatz in Exactly solvable problems in condensed matter and relativistic field theory B.S Shastry, S.S. Jha and V. Singh eds., Springer, Berlin 1985, Lecture Notes in Physics 242
    • Lecture Notes in Physics , vol.242
    • Sutherland, B.1
  • 23
    • 0000311307 scopus 로고
    • Perturbation expansion of the linear Hubbard model
    • 10.1103/PhysRevB.8.2236 0163-1829 B
    • D.J. Klein and W. Seitz, Perturbation expansion of the linear Hubbard model 1973 Phys. Rev. B 8 2236
    • (1973) Phys. Rev. , vol.8 , Issue.5 , pp. 2236
    • Klein, D.J.1    Seitz, W.2
  • 24
    • 0004071284 scopus 로고
    • Half-filled Hubbard model at low temperature
    • 1361-648X
    • M. Takahashi, Half-filled Hubbard model at low temperature 1977 J. Phys.: Condens. Matter 10 1289
    • (1977) J. Phys.: Condens. Matter , vol.10 , pp. 1289
    • Takahashi, M.1
  • 25
    • 0000086213 scopus 로고
    • On the convergence of the perturbation method, i
    • 0033-068X
    • T. Kato, On the convergence of the perturbation method, I 1949 Prog. Theor. Phys. 4 514
    • (1949) Prog. Theor. Phys. , vol.4
    • Kato, T.1
  • 26
    • 16444378435 scopus 로고
    • On the non-orthogonality problem connected with the use of atomic wave functions in the theory of molecules and crystals
    • P.O. Löwdin, On the non-orthogonality problem connected with the use of atomic wave functions in the theory of molecules and crystals 1950 J. Chem. Phys. 18 365
    • (1950) J. Chem. Phys. , vol.18
    • Löwdin, P.O.1
  • 27
    • 30744464386 scopus 로고    scopus 로고
    • Wrapping interactions and a new source of corrections to the spin-chain/string duality
    • 10.1016/j.nuclphysb.2005.12.007 0550-3213 B
    • J. Ambjørn, R.A. Janik and C. Kristjansen, Wrapping interactions and a new source of corrections to the spin-chain/string duality 2006 Nucl. Phys. B 736 288 [hep-th/0510171]
    • (2006) Nucl. Phys. , vol.736 , Issue.3 , pp. 288
    • Ambjørn, J.1    Janik, R.A.2    Kristjansen, C.3
  • 29
    • 4043089414 scopus 로고    scopus 로고
    • Holography beyond the Penrose limit
    • 10.1016/j.nuclphysb.2004.06.033 0550-3213 B
    • C.G. Callan Jr., T. McLoughlin and I.J. Swanson, Holography beyond the Penrose limit 2004 Nucl. Phys. B 694 115 [hep-th/0404007]
    • (2004) Nucl. Phys. , vol.694 , pp. 115
    • Callan Jr., C.G.1    McLoughlin, T.2    Swanson, I.J.3
  • 30
    • 22944455214 scopus 로고    scopus 로고
    • The SU(2) sector in AdS/CFT
    • 10.1002/prop.200410204 0015-8208
    • J.A. Minahan, The SU(2) sector in AdS/CFT, 2005 Fortschr. Phys. 53 828 [hep-th/0503143]
    • (2005) Fortschr. Phys. , vol.53 , Issue.7-8 , pp. 828
    • Minahan, J.A.1
  • 31
    • 0034215542 scopus 로고    scopus 로고
    • Thermodynamics and excitations of the one-dimensional Hubbard model
    • 10.1016/S0370-1573(00)00010-7 0370-1573
    • T. Deguchi, F.H.L. Essler, F. Göhmann, A. Klümper, V.E. Korepin and K. Kusakabe, Thermodynamics and excitations of the one-dimensional Hubbard model 2000 Phys. Rep. 331 197 [cond-mat/9904398]
    • (2000) Phys. Rep. , vol.331 , Issue.5 , pp. 197
    • Deguchi, T.1    Essler, F.H.L.2    Göhmann, F.3    Klümper, A.4    Korepin, V.E.5    Kusakabe, K.6
  • 32
    • 2342492401 scopus 로고    scopus 로고
    • Completeness of Bethe ansatz for 1D Hubbard model with AB-flux through combinatorial formulas and exact enumeration of eigenstates
    • 10.1016/j.nuclphysb.2004.04.004 0550-3213 B
    • A. Nishino and T. Deguchi, Completeness of Bethe ansatz for 1D Hubbard model with AB-flux through combinatorial formulas and exact enumeration of eigenstates 2004 Nucl. Phys. B 688 266 [cond-mat/0405546]
    • (2004) Nucl. Phys. , vol.688 , pp. 266
    • Nishino, A.1    Deguchi, T.2
  • 33
    • 23044434834 scopus 로고    scopus 로고
    • Bethe ansatz for quantum strings
    • 1126-6708 016
    • G. Arutyunov, S. Frolov and M. Staudacher, Bethe ansatz for quantum strings 2004 J. High Energy Phys. JHEP10(2004)016 [hep-th/0406256]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.10 , pp. 016
    • Arutyunov, G.1    Frolov, S.2    Staudacher, M.3
  • 34
    • 0002850036 scopus 로고
    • One-dimensional Hubbard model at finite temperature
    • 10.1143/PTP.47.69 0033-068X
    • M. Takahashi, One-dimensional Hubbard model at finite temperature 1972 Prog. Theor. Phys. 47 69
    • (1972) Prog. Theor. Phys. , vol.47 , Issue.1 , pp. 69
    • Takahashi, M.1
  • 36
    • 0031557029 scopus 로고    scopus 로고
    • Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model
    • 0305-4470 011
    • R. Yue and T. Deguchi, Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model 1997 J. Phys. A: Math. Gen. 30 849 [cond-mat/9606039]
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.3 , pp. 849
    • Yue, R.1    Deguchi, T.2
  • 37
    • 25344470596 scopus 로고
    • Exact integrability of the one-dimensional Hubbard model
    • 10.1103/PhysRevLett.56.2453 0031-9007
    • B.S. Shastry, Exact integrability of the one-dimensional Hubbard model 1986 Phys. Rev. Lett. 56 2453
    • (1986) Phys. Rev. Lett. , vol.56 , Issue.23 , pp. 2453
    • Shastry, B.S.1
  • 38
    • 33744568319 scopus 로고
    • Infinite conservation-laws in the one-dimensional Hubbard model
    • 10.1103/PhysRevLett.56.1529 0031-9007
    • B.S. Shastry, Infinite conservation-laws in the one-dimensional Hubbard model 1986 Phys. Rev. Lett. 56 1529
    • (1986) Phys. Rev. Lett. , vol.56 , Issue.15 , pp. 1529
    • Shastry, B.S.1
  • 39
    • 33645664236 scopus 로고
    • 10.1103/PhysRevLett.56.2334.3 0031-9007
    • B.S. Shastry, erratum 1986 Phys. Rev. Lett. 56 2334
    • (1986) Phys. Rev. Lett. , vol.56 , Issue.21 , pp. 2334
    • Shastry, B.S.1
  • 40
    • 0010076137 scopus 로고    scopus 로고
    • Algebraic Bethe ansatz approach for the one-dimensional Hubbard model
    • 0305-4470 009
    • P.B. Ramos and M.J. Martins, Algebraic Bethe ansatz approach for the one-dimensional Hubbard model 1997 J. Phys. A: Math. Gen. 30 L195
    • (1997) J. Phys. A: Math. Gen. , vol.30 , Issue.7 , pp. 195
    • Ramos, P.B.1    Martins, M.J.2
  • 41
    • 0037057611 scopus 로고    scopus 로고
    • Exact anomalous dimensions of N Combining double low line 4 Yang-Mills operators with large R charge
    • 10.1016/S0370-2693(02)02627-8 0370-2693 B
    • A. Santambrogio and D. Zanon, Exact anomalous dimensions of N Combining double low line 4 Yang-Mills operators with large R charge 2002 Phys. Lett. B 545 425 [hep-th/0206079]
    • (2002) Phys. Lett. , vol.545 , Issue.3-4 , pp. 425
    • Santambrogio, A.1    Zanon, D.2
  • 42
    • 21444440592 scopus 로고    scopus 로고
    • The factorized S-matrix of CFT/AdS
    • 1126-6708 054
    • M. Staudacher, The factorized S-matrix of CFT/AdS 2005 J. High Energy Phys. JHEP05(2005)054 [hep-th/0412188]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.5 , pp. 054
    • Staudacher, M.1
  • 43
    • 26444443519 scopus 로고    scopus 로고
    • Long-range PSU(2,2|4) Bethe ansaetze for gauge theory and strings
    • 10.1016/j.nuclphysb.2005.06.038 0550-3213 B
    • N. Beisert and M. Staudacher, Long-range PSU(2,2|4) Bethe ansaetze for gauge theory and strings, 2005 Nucl. Phys. B 727 1 [hep-th/0504190]
    • (2005) Nucl. Phys. , vol.727 , Issue.1-2 , pp. 1
    • Beisert, N.1    Staudacher, M.2
  • 46
    • 22944453702 scopus 로고    scopus 로고
    • Spin chain for quantum strings
    • 10.1002/prop.200410207 0015-8208
    • N. Beisert, Spin chain for quantum strings 2005 Fortschr. Phys. 53 852 [hep-th/0409054]
    • (2005) Fortschr. Phys. , vol.53 , Issue.7-8 , pp. 852
    • Beisert, N.1
  • 47
    • 2342553026 scopus 로고    scopus 로고
    • The three-loop splitting functions in QCD: The non-singlet case
    • 10.1016/j.nuclphysb.2004.03.030 0550-3213 B
    • S. Moch, J.A.M. Vermaseren and A. Vogt, The three-loop splitting functions in QCD: the non-singlet case 2004 Nucl. Phys. B 688 101 [hep-ph/0403192]
    • (2004) Nucl. Phys. , vol.688 , pp. 101
    • Moch, S.1    Vermaseren, J.A.M.2    Vogt, A.3
  • 48
    • 3843074064 scopus 로고    scopus 로고
    • Three-loop universal anomalous dimension of the Wilson operators in N Combining double low line 4 SUSY Yang-Mills model
    • 10.1016/j.physletb.2004.05.078 0370-2693 B
    • A.V. Kotikov, L.N. Lipatov, A.I. Onishchenko and V.N. Velizhanin, Three-loop universal anomalous dimension of the Wilson operators in N Combining double low line 4 SUSY Yang-Mills model 2004 Phys. Lett. B 595 521 [hep-th/0404092]
    • (2004) Phys. Lett. , vol.595 , pp. 521
    • Kotikov, A.V.1    Lipatov, L.N.2    Onishchenko, A.I.3    Velizhanin, V.N.4
  • 53
    • 78650234788 scopus 로고    scopus 로고
    • The large-N limit of superconformal field theories and supergravity
    • J.M. Maldacena, The large-N limit of superconformal field theories and supergravity 1998 Adv. Theor. Math. Phys. 2 231 [hep-th/9711200]
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 231
    • Maldacena, J.M.1
  • 54
    • 24944555508 scopus 로고    scopus 로고
    • Anti-de Sitter space and holography
    • E. Witten, Anti-de Sitter space and holography 1998 Adv. Theor. Math. Phys. 2 253 [hep-th/9802150]
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 253
    • Witten, E.1
  • 55
    • 0347811692 scopus 로고    scopus 로고
    • Gauge theory correlators from non-critical string theory
    • 10.1016/S0370-2693(98)00377-3 0370-2693 B
    • S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory 1998 Phys. Lett. B 428 105 [hep-th/9802109]
    • (1998) Phys. Lett. , vol.428 , Issue.1-2 , pp. 105
    • Gubser, S.S.1    Klebanov, I.R.2    Polyakov, A.M.3
  • 56
    • 33750459908 scopus 로고    scopus 로고
    • Hidden symmetries of the AdS5 × S5 superstring
    • 10.1103/PhysRevD.69.046002 0556-2821 D
    • 5 superstring 2004 Phys. Rev. D 69 046002 [hep-th/0305116]
    • (2004) Phys. Rev. , vol.69 , pp. 046002
    • Bena, I.1    Polchinski, J.2    Roiban, R.3
  • 57
    • 85038340617 scopus 로고    scopus 로고
    • Semiclassical quantization of rotating superstring in AdS5 × S5
    • 1126-6708 007
    • 5 2002 J. High Energy Phys. JHEP06(2002)007 [hep-th/0204226]
    • (2002) J. High Energy Phys. , vol.2002 , Issue.6 , pp. 007
    • Frolov, S.1    Tseytlin, A.A.2
  • 58
    • 0042429001 scopus 로고    scopus 로고
    • Multi-spin string solutions in AdS5 × S5
    • 10.1016/S0550-3213(03)00580-7 0550-3213 B
    • 5 2003 Nucl. Phys. B 668 77 [hep-th/0304255]
    • (2003) Nucl. Phys. , vol.668 , pp. 77
    • Frolov, S.1    Tseytlin, A.A.2
  • 59
  • 60
    • 0042695787 scopus 로고    scopus 로고
    • Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors
    • 10.1016/j.physletb.2003.07.022 0370-2693 B
    • S. Frolov and A.A. Tseytlin, Rotating string solutions: AdS/CFT duality in non-supersymmetric sectors 2003 Phys. Lett. B 570 96 [hep-th/0306143]
    • (2003) Phys. Lett. , vol.570 , Issue.1-2 , pp. 96
    • Frolov, S.1    Tseytlin, A.A.2
  • 63
    • 23044496045 scopus 로고    scopus 로고
    • Matching higher conserved charges for strings and spins
    • 1126-6708 004
    • G. Arutyunov and M. Staudacher, Matching higher conserved charges for strings and spins 2004 J. High Energy Phys. JHEP03(2004)004 [hep-th/0310182]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.3 , pp. 004
    • Arutyunov, G.1    Staudacher, M.2
  • 65
    • 7244257548 scopus 로고    scopus 로고
    • Higher impurity AdS/CFT correspondence in the near-BMN limit
    • 10.1016/j.nuclphysb.2004.09.025 0550-3213 B
    • C.G. Callan Jr., T. McLoughlin and I.J. Swanson, Higher impurity AdS/CFT correspondence in the near-BMN limit 2004 Nucl. Phys. B 700 271 [hep-th/0405153]
    • (2004) Nucl. Phys. , vol.700 , pp. 271
    • Callan Jr., C.G.1    McLoughlin, T.2    Swanson, I.J.3
  • 66
    • 7444269581 scopus 로고    scopus 로고
    • Lattice super Yang-Mills: A virial approach to operator dimensions
    • 10.1016/j.nuclphysb.2004.09.010 0550-3213 B
    • C.G. Callan Jr., J. Heckman, T. McLoughlin and I.J. Swanson, Lattice super Yang-Mills: a virial approach to operator dimensions 2004 Nucl. Phys. B 701 180 [hep-th/0407096]
    • (2004) Nucl. Phys. , vol.701 , pp. 180
    • Callan Jr., C.G.1    Heckman McLoughlin, T.J.2    Swanson, I.J.3
  • 67
    • 9144270142 scopus 로고    scopus 로고
    • N-impurity superstring spectra near the pp-wave limit
    • 10.1016/j.nuclphysb.2004.09.025 0550-3213 B
    • T. McLoughlin and I.J. Swanson, N-impurity superstring spectra near the pp-wave limit 2004 Nucl. Phys. B 702 86 [hep-th/0407240]
    • (2004) Nucl. Phys. , vol.702 , pp. 86
    • McLoughlin, T.1    Swanson, I.J.2
  • 68
    • 27344442923 scopus 로고    scopus 로고
    • Integrable hamiltonian for classical strings on AdS5 × S5
    • 1126-6708 059
    • 5 2005 J. High Energy Phys. JHEP02(2005)059 [hep-th/0411089]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.2 , pp. 059
    • Arutyunov, G.1    Frolov, S.2
  • 72
    • 27944468048 scopus 로고    scopus 로고
    • Bethe ansatz for a quantum supercoset sigma model
    • 10.1103/PhysRevD.72.086002 0556-2821 D
    • N. Mann and J. Polchinski, Bethe ansatz for a quantum supercoset sigma model 2005 Phys. Rev. D 72 086002 [hep-th/0508232]
    • (2005) Phys. Rev. , vol.72 , Issue.8 , pp. 086002
    • Mann, N.1    Polchinski, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.