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Volumn 738, Issue 3, 2006, Pages 368-390

Baxter Q-operators of the XXZ chain and R-matrix factorization

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EID: 32644445246     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2005.12.015     Document Type: Article
Times cited : (18)

References (44)
  • 1
    • 0001230643 scopus 로고
    • High-energy asymptotics of multicolor QCD and exactly solvable lattice models
    • L.N. Lipatov High-energy asymptotics of multicolor QCD and exactly solvable lattice models Padova preprint DFPD-93-TH-70B JETP Lett. B 342 1994 596
    • (1994) JETP Lett. B , vol.342 , pp. 596
    • Lipatov, L.N.1
  • 2
    • 0011653729 scopus 로고
    • High-energy QCD as a completely integrable model
    • hep-th/9404173
    • L.D. Faddeev G.P. Korchemsky High-energy QCD as a completely integrable model Phys. Lett. B 342 1995 311 hep-th/9404173
    • (1995) Phys. Lett. B , vol.342 , pp. 311
    • Faddeev, L.D.1    Korchemsky, G.P.2
  • 3
    • 3242879766 scopus 로고    scopus 로고
    • Integrability of three-particle evolution equations in QCD
    • hep-ph/9805225
    • V.M. Braun S.E. Derkachov A.N. Manashov Integrability of three-particle evolution equations in QCD Phys. Rev. Lett. 81 1998 2020 hep-ph/9805225
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2020
    • Braun, V.M.1    Derkachov, S.E.2    Manashov, A.N.3
  • 4
    • 0002152395 scopus 로고
    • Eight vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain
    • R.J. Baxter Eight vertex model in lattice statistics and one-dimensional anisotropic Heisenberg chain Ann. Phys. 76 1973 1
    • (1973) Ann. Phys. , vol.76 , pp. 1
    • Baxter, R.J.1
  • 8
    • 0031549912 scopus 로고    scopus 로고
    • Integrable structure of conformal field theory, II: Q-operator and DDV equation
    • hep-th/9604044
    • V. Bazhanov S. Lukyanov A. Zamolodchikov Integrable structure of conformal field theory, II: Q-operator and DDV equation Commun. Math. Phys. 190 1997 247-278 hep-th/9604044
    • (1997) Commun. Math. Phys. , vol.190 , pp. 247-278
    • Bazhanov, V.1    Lukyanov, S.2    Zamolodchikov, A.3
  • 9
    • 0043016617 scopus 로고    scopus 로고
    • Quantum group representation and Baxter equation
    • hep-th/9603105
    • A. Antonov B. Feigin Quantum group representation and Baxter equation Phys. Lett. B 392 1997 115-122 hep-th/9603105
    • (1997) Phys. Lett. B , vol.392 , pp. 115-122
    • Antonov, A.1    Feigin, B.2
  • 10
    • 33645677331 scopus 로고
    • The periodic Toda chain and a matrix generalization of the Bessel function recursion relations
    • V. Pasquier M. Gaudin The periodic Toda chain and a matrix generalization of the Bessel function recursion relations J. Phys. A: Math. Gen. 25 1992 5243-5252
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 5243-5252
    • Pasquier, V.1    Gaudin, M.2
  • 11
    • 0039965073 scopus 로고    scopus 로고
    • Quantum Backlund transformation for the integrable DST model
    • solv-int/9908002
    • V.B. Kuznetsov M. Salerno E.K. Sklyanin Quantum Backlund transformation for the integrable DST model J. Phys. A 33 2000 171-189 solv-int/9908002
    • (2000) J. Phys. A , vol.33 , pp. 171-189
    • Kuznetsov, V.B.1    Salerno, M.2    Sklyanin, E.K.3
  • 12
    • 0034349098 scopus 로고    scopus 로고
    • On the Baxter's Q-operator for the XXX spin chain
    • hep-th/9908179
    • G.P. Pronko On the Baxter's Q-operator for the XXX spin chain Commun. Math. Phys. 212 2000 687-701 hep-th/9908179
    • (2000) Commun. Math. Phys. , vol.212 , pp. 687-701
    • Pronko, G.P.1
  • 13
    • 32644444390 scopus 로고    scopus 로고
    • Baxter Q-operators for integrable DST chain
    • nlin.SI/0203030
    • A.E. Kovalsky G.P. Pronko Baxter Q-operators for integrable DST chain nlin.SI/0203030
    • Kovalsky, A.E.1    Pronko, G.P.2
  • 14
    • 23044437757 scopus 로고    scopus 로고
    • Baxters Q-operators for the simplest q-deformed model
    • nlin.SI/0307040
    • A.E. Kovalsky G.P. Pronko Baxters Q-operators for the simplest q-deformed model nlin.SI/0307040
    • Kovalsky, A.E.1    Pronko, G.P.2
  • 15
    • 0041880613 scopus 로고    scopus 로고
    • 2) vertex models
    • math-ph/0207004
    • 2) vertex models J. Phys. A 35 2002 10015-10032 math-ph/0207004
    • (2002) J. Phys. A , vol.35 , pp. 10015-10032
    • Rossi, M.1    Weston, R.2
  • 16
    • 0034716872 scopus 로고    scopus 로고
    • Commuting difference operators with elliptic coefficients from Baxter's vacuum vectors
    • math.QA/9912218
    • A. Zabrodin Commuting difference operators with elliptic coefficients from Baxter's vacuum vectors J. Phys. A 33 2000 3825 math.QA/9912218
    • (2000) J. Phys. A , vol.33 , pp. 3825
    • Zabrodin, A.1
  • 17
    • 32644448809 scopus 로고    scopus 로고
    • private communication
    • E.K. Sklyanin, private communication
    • Sklyanin, E.K.1
  • 18
    • 0012988874 scopus 로고    scopus 로고
    • Backlund transformations and Baxter's Q-operator
    • nlin.SI/0009009. American Mathematical Society Providence, RI Integrable Systems: From Classical to Quantum Montreal, QC
    • E.K. Sklyanin Backlund transformations and Baxter's Q-operator Integrable Systems: From Classical to Quantum Montreal, QC, 1999 CRM Proc. Lecture Notes vol. 26 2000 American Mathematical Society Providence, RI 227-250 nlin.SI/0009009
    • (2000) CRM Proc. Lecture Notes , vol.26 , pp. 227-250
    • Sklyanin, E.K.1
  • 19
    • 0001084507 scopus 로고    scopus 로고
    • Quantum lattice KdV equation
    • hep-th/9509024
    • A.Yu. Volkov Quantum lattice KdV equation Lett. Math. Phys. 39 1997 313-329 hep-th/9509024
    • (1997) Lett. Math. Phys. , vol.39 , pp. 313-329
    • Volkov, A.Yu.1
  • 20
    • 0000339240 scopus 로고
    • Chiral Potts model as a descendant of the six vertex model
    • V.V. Bazhanov Yu.G. Stroganov Chiral Potts model as a descendant of the six vertex model J. Stat. Phys. 51 1990 799-817
    • (1990) J. Stat. Phys. , vol.51 , pp. 799-817
    • Bazhanov, V.V.1    Stroganov, Yu.G.2
  • 21
    • 21344475330 scopus 로고
    • Cyclic monodromy matrices for sℓ(n) trigonometric R-matrices
    • V.O. Tarasov Cyclic monodromy matrices for sℓ(n) trigonometric R-matrices Commun. Math. Phys. 158 1993 459-483
    • (1993) Commun. Math. Phys. , vol.158 , pp. 459-483
    • Tarasov, V.O.1
  • 22
    • 32644432077 scopus 로고    scopus 로고
    • New relations in the algebra of the Baxter Q-operators
    • hep-th/0110126
    • A.A. Belavin A.V. Odessky R.A. Usmanov New relations in the algebra of the Baxter Q-operators hep-th/0110126
    • Belavin, A.A.1    Odessky, A.V.2    Usmanov, R.A.3
  • 23
    • 0040323775 scopus 로고
    • A q-difference analogue of U(g) and the Yang-Baxter equation
    • M. Jimbo A q-difference analogue of U(g) and the Yang-Baxter equation Lett. Math. Phys. 10 1985 63-69
    • (1985) Lett. Math. Phys. , vol.10 , pp. 63-69
    • Jimbo, M.1
  • 24
    • 0038863258 scopus 로고
    • Quantum R-matrix for the generalized Toda system
    • M. Jimbo Quantum R-matrix for the generalized Toda system Commun. Math. Phys. 102 1986 537-547
    • (1986) Commun. Math. Phys. , vol.102 , pp. 537-547
    • Jimbo, M.1
  • 25
    • 0039446339 scopus 로고    scopus 로고
    • Baxter's Q-operator for the homogeneous XXX spin chain
    • solv-int/9902015
    • S.E. Derkachov Baxter's Q-operator for the homogeneous XXX spin chain J. Phys. A: Math. Gen. 32 1999 5299-5316 solv-int/9902015
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 5299-5316
    • Derkachov, S.E.1
  • 26
    • 0035803813 scopus 로고    scopus 로고
    • Noncompact Heisenberg spin magnets from high-energy QCD, I: Baxter Q-operator and separation of variables
    • hep-th/0107193
    • S.E. Derkachov G.P. Korchemsky A.N. Manashov Noncompact Heisenberg spin magnets from high-energy QCD, I: Baxter Q-operator and separation of variables Nucl. Phys. B 617 2001 375 hep-th/0107193
    • (2001) Nucl. Phys. B , vol.617 , pp. 375
    • Derkachov, S.E.1    Korchemsky, G.P.2    Manashov, A.N.3
  • 27
    • 10944226751 scopus 로고    scopus 로고
    • Noncompact SL(2, R) spin chain
    • hep-th/0405030
    • M. Kirch A.N. Manashov Noncompact SL (2, R) spin chain JHEP 0406 2004 035 hep-th/0405030
    • (2004) JHEP , vol.406 , pp. 035
    • Kirch, M.1    Manashov, A.N.2
  • 28
    • 22544474177 scopus 로고    scopus 로고
    • A Q-operator identity for the correlation functions of the infinite XXZ spin-chain
    • hep-th/0503130
    • C. Korff A Q-operator identity for the correlation functions of the infinite XXZ spin-chain J. Phys. A 38 2005 6641 hep-th/0503130
    • (2005) J. Phys. A , vol.38 , pp. 6641
    • Korff, C.1
  • 29
    • 3242717807 scopus 로고    scopus 로고
    • Auxiliary matrices for the six-vertex model and the algebraic Bethe ansatz
    • math-ph/0404028
    • C. Korff Auxiliary matrices for the six-vertex model and the algebraic Bethe ansatz J. Phys. A 37 2004 7227 math-ph/0404028
    • (2004) J. Phys. A , vol.37 , pp. 7227
    • Korff, C.1
  • 30
    • 33645694662 scopus 로고    scopus 로고
    • Representation theory and Baxter's TQ equation for the six-vertex model
    • Contribution to the RIMS Workshop on Solvable Lattice Models, Kyoto, July cond-mat/0411758
    • C. Korff Representation theory and Baxter's TQ equation for the six-vertex model Contribution to the RIMS Workshop on Solvable Lattice Models, Kyoto, July 2004 cond-mat/0411758
    • (2004)
    • Korff, C.1
  • 31
    • 80053616803 scopus 로고    scopus 로고
    • Quantization of models with noncompact quantum group symmetry
    • in preparation
    • A. Bytsko, J. Teschner, Quantization of models with noncompact quantum group symmetry, in preparation
    • Bytsko, A.1    Teschner, J.2
  • 32
    • 32644438451 scopus 로고    scopus 로고
    • Factorization of the R-matrix, I
    • math.qa/0503396
    • S.E. Derkachov Factorization of the R-matrix, I math.qa/0503396
    • Derkachov, S.E.1
  • 33
    • 32644433448 scopus 로고    scopus 로고
    • Factorization of the R-matrix and Baxter's Q-operator
    • math.qa/0507252
    • S.E. Derkachov Factorization of the R-matrix and Baxter's Q-operator math.qa/0507252
    • Derkachov, S.E.1
  • 34
    • 0037025857 scopus 로고    scopus 로고
    • Universal R operator with deformed conformal symmetry
    • nlin.si/0111032
    • D. Karakhanyan R. Kirschner M. Mirumyan Universal R operator with deformed conformal symmetry Nucl. Phys. B 636 2002 529 nlin.si/0111032
    • (2002) Nucl. Phys. B , vol.636 , pp. 529
    • Karakhanyan, D.1    Kirschner, R.2    Mirumyan, M.3
  • 35
    • 0002477169 scopus 로고
    • How algebraic Bethe ansatz works for integrable model
    • hep-th/9605187
    • L.D. Faddeev How algebraic Bethe ansatz works for integrable model in: Les Houches Lectures, 1995 hep-th/9605187
    • (1995) Les Houches Lectures
    • Faddeev, L.D.1
  • 36
    • 2442447293 scopus 로고    scopus 로고
    • Thermodynamics and conformal properties of XXZ chains with alternating spins
    • hep-th/0312012
    • A.G. Bytsko A. Doikou Thermodynamics and conformal properties of XXZ chains with alternating spins J. Phys. A 37 2004 4465-4492 hep-th/0312012
    • (2004) J. Phys. A , vol.37 , pp. 4465-4492
    • Bytsko, A.G.1    Doikou, A.2
  • 38
    • 32644434375 scopus 로고    scopus 로고
    • Vacuum curves of elliptic L operators and representations of Sklyanin algebra
    • solv-int/9801022
    • I. Krichever A. Zabrodin Vacuum curves of elliptic L operators and representations of Sklyanin algebra solv-int/9801022
    • Krichever, I.1    Zabrodin, A.2
  • 41
    • 0040674083 scopus 로고    scopus 로고
    • Algebraic quantization of integrable models in discrete space-time
    • hep-th/9710039. Discrete Integrable Geometry and Physics
    • L.D. Faddeev A.Yu. Volkov Algebraic quantization of integrable models in discrete space-time Discrete Integrable Geometry and Physics Oxford Lecture Series in Mathematics and its Applications vol. 16 1999 301-320 hep-th/9710039
    • (1999) Oxford Lecture Series in Mathematics and Its Applications , vol.16 , pp. 301-320
    • Faddeev, L.D.1    Volkov, A.Yu.2
  • 42
    • 0009252654 scopus 로고
    • Quantum dilogarithm as a 6j symbol
    • hep-th/9411147
    • R.M. Kashaev Quantum dilogarithm as a 6j symbol Mod. Phys. Lett. A 9 1994 3757 hep-th/9411147
    • (1994) Mod. Phys. Lett. A , vol.9 , pp. 3757
    • Kashaev, R.M.1
  • 43
    • 32644445802 scopus 로고    scopus 로고
    • The q-binomial formula and the Rogers dilogarithm identity
    • math.QA/0407078
    • R.M. Kashaev The q-binomial formula and the Rogers dilogarithm identity math.QA/0407078
    • Kashaev, R.M.1
  • 44
    • 0242672733 scopus 로고    scopus 로고
    • Noncommutative hypergeometry
    • math.QA/0312084
    • A.Yu. Volkov Noncommutative hypergeometry math.QA/0312084
    • Volkov, A.Yu.1


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