메뉴 건너뛰기




Volumn 39, Issue 40, 2006, Pages 12303-12325

The Q-operator for root-of-unity symmetry in the six-vertex model

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33748981497     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/40/002     Document Type: Article
Times cited : (9)

References (31)
  • 2
    • 0000632786 scopus 로고
    • Eight-vertex model in lattice statistics
    • Baxter R J 1971 Eight-vertex model in lattice statistics Phys. Rev. Lett. 26 832-3
    • (1971) Phys. Rev. Lett. , vol.26 , Issue.14 , pp. 832-833
    • Baxter, R.J.1
  • 3
    • 10344226015 scopus 로고
    • One-dimensional anisotropic Heisenberg chain
    • Baxter R J 1971 One-dimensional anisotropic Heisenberg chain Phys. Rev. Lett. 26 834
    • (1971) Phys. Rev. Lett. , vol.26 , Issue.14 , pp. 834
    • Baxter, R.J.1
  • 4
    • 0011630061 scopus 로고
    • Partition function of the eight vertex model
    • Baxter R J 1972 Partition function of the eight vertex model Ann. Phys. 70 193-228
    • (1972) Ann. Phys. , vol.70 , Issue.1 , pp. 193-228
    • Baxter, R.J.1
  • 5
    • 0002152395 scopus 로고
    • Eight-vertex model in lattice statistic and one-dimensional anisotropic Heisenberg chain: I. Some fundamental eigenvalues: II. Equivalence to a generalized Ice-type lattice model: III. Eigenvalues of the transfer matrix and Hamiltonian
    • Baxter R J 1973 Eight-vertex model in lattice statistic and one-dimensional anisotropic Heisenberg chain: I. Some fundamental eigenvalues: II. Equivalence to a generalized Ice-type lattice model: III. Eigenvalues of the transfer matrix and Hamiltonian Ann. Phys. 76 1-71
    • (1973) Ann. Phys. , vol.76 , Issue.1 , pp. 1-71
    • Baxter, R.J.1
  • 7
    • 0001347374 scopus 로고
    • Chiral Potts model: Eigenvalues of the transfer matrix
    • Baxter R J 1990 Chiral Potts model: eigenvalues of the transfer matrix Phys. Lett. A 146 110-4
    • (1990) Phys. Lett. , vol.146 , Issue.3 , pp. 110-114
    • Baxter, R.J.1
  • 8
    • 21344479329 scopus 로고
    • Chiral Potts model with skewed boundary conditions
    • Baxter R J 1993 Chiral Potts model with skewed boundary conditions J. Stat. Phys. 73 461-95
    • (1993) J. Stat. Phys. , vol.73 , Issue.3-4 , pp. 461-495
    • Baxter, R.J.1
  • 9
    • 21344487115 scopus 로고
    • Interfacial tension of the chiral Potts model
    • Baxter R J 1994 Interfacial tension of the chiral Potts model J. Phys. A: Math. Gen. 27 1837-49
    • (1994) J. Phys. A: Math. Gen. , vol.27 , Issue.6 , pp. 1837-1849
    • Baxter, R.J.1
  • 10
    • 4344630189 scopus 로고    scopus 로고
    • The six and eight-vertex models revisited
    • Baxter R J 2004 The six and eight-vertex models revisited J. Stat. Phys. 114 43-66 (Preprint cond-mat/0403138)
    • (2004) J. Stat. Phys. , vol.114 , pp. 43-66
    • Baxter, R.J.1
  • 11
    • 84862447283 scopus 로고    scopus 로고
    • q) model
    • q) model J. Stat. Phys. 117 1-25 (Preprint cond-mat/0409493)
    • (2004) J. Stat. Phys. , vol.117 , Issue.1-2 , pp. 1-25
    • Baxter, R.J.1
  • 12
    • 0001235141 scopus 로고
    • Functional relations for transfer matrices of the chiral Potts model
    • Baxter R J, Bazhanov V V and Perk J H H 1990 Functional relations for transfer matrices of the chiral Potts model Int. J. Mod. Phys. B 4 803-70
    • (1990) Int. J. Mod. Phys. , vol.4 , Issue.5 , pp. 803-870
    • Baxter, R.J.1    Bazhanov, V.V.2    Perk, J.H.H.3
  • 13
    • 0000339240 scopus 로고
    • Chiral Potts model as a descendant of the six-vertex model
    • Bazhanov V V and Stroganov Yu G 1990 Chiral Potts model as a descendant of the six-vertex model J. Stat. Phys. 59 799-817
    • (1990) J. Stat. Phys. , vol.59 , Issue.3-4 , pp. 799-817
    • Bazhanov, V.V.1    Stroganov, Yu.G.2
  • 14
    • 33846900525 scopus 로고
    • Zur theorie der metalle I. Eigenverte und eigenfunctionen der linearen atomkette
    • Bethe H A 1931 Zur theorie der metalle I. Eigenverte und eigenfunctionen der linearen atomkette Z. Phys. 71 206-26
    • (1931) Z. Phys. , vol.71 , pp. 206-226
    • Bethe, H.A.1
  • 15
    • 0035534193 scopus 로고    scopus 로고
    • 2 loop algebra symmetry for the six-vertex model at roots of unity
    • 2 loop algebra symmetry for the six-vertex model at roots of unity J. Stat. Phys. 102 701-36 (Preprint cond-mat/9912141)
    • (2001) J. Stat. Phys. , vol.102 , pp. 701-736
    • Deguchi, T.1    Fabricius, K.2    McCoy, B.M.3
  • 17
    • 0035536310 scopus 로고    scopus 로고
    • Bethe's equation is incomplete for the XXZ model at roots of unity
    • Fabricius K and McCoy B M 2001 Bethe's equation is incomplete for the XXZ model at roots of unity J. Stat. Phys. 103 647-78 (Preprint cond-mat/0009279)
    • (2001) J. Stat. Phys. , vol.103 , pp. 647-678
    • Fabricius, K.1    McCoy, B.M.2
  • 18
    • 0035537477 scopus 로고    scopus 로고
    • Completing Bethe equations at roots of unity
    • Fabricius K and McCoy B M 2001 Completing Bethe equations at roots of unity J. Stat. Phys. 104 573-87 (Preprint cond-mat/0012501)
    • (2001) J. Stat. Phys. , vol.104 , pp. 573-587
    • Fabricius, K.1    McCoy, B.M.2
  • 19
    • 0242323424 scopus 로고    scopus 로고
    • Evaluation parameters and Bethe roots for the six vertex model at roots of unity
    • Fabricius K and McCoy B M 2002 Evaluation parameters and Bethe roots for the six vertex model at roots of unity Progress in Mathematical Physics vol 23 ed M Kashiwara and T Miwa (Boston: Birkhauser) pp 119-44 (Preprint cond-mat/0108057)
    • (2002) Progress in Mathematical Physics , vol.23 , pp. 119-144
    • Fabricius, K.1    McCoy, B.M.2
  • 20
    • 9544223175 scopus 로고    scopus 로고
    • Functional equations and fusion matrices for the eight vertex model
    • Fabricius K and McCoy B M 2004 Functional equations and fusion matrices for the eight vertex model Publ. RIMS 40 905-32 (Preprint cond-mat/0311122)
    • (2004) Publ. RIMS , vol.40 , pp. 905-932
    • Fabricius, K.1    McCoy, B.M.2
  • 22
    • 0000352302 scopus 로고
    • On the bound state problem in 1 +1 dimensional field theories
    • Karowski M 1979 On the bound state problem in 1 +1 dimensional field theories Nucl. Phys. B 153 244-52
    • (1979) Nucl. Phys. , vol.153 , pp. 244-252
    • Karowski, M.1
  • 25
    • 33645685301 scopus 로고
    • Yang-Baxter equation and representation theory
    • Kulish P P, Reshetikhin N Yu and Sklyanin E K 1981 Yang-Baxter equation and representation theory Lett. Math. Phys. 5 393-403
    • (1981) Lett. Math. Phys. , vol.5 , Issue.5 , pp. 393-403
    • Kulish, P.P.1    Yu, R.N.2    Sklyanin, E.K.3
  • 26
    • 0004402327 scopus 로고
    • Excitation spectrum and phase structure of the chiral Potts model
    • McCoy B M and Roan S S 1990 Excitation spectrum and phase structure of the chiral Potts model Phys. Lett. A 150 347-54
    • (1990) Phys. Lett. , vol.150 , Issue.8-9 , pp. 347-354
    • McCoy, B.M.1    Roan, S.S.2
  • 27
    • 0037059921 scopus 로고    scopus 로고
    • Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity
    • Nepomechie R I 2002 Solving the open XXZ spin chain with nondiagonal boundary terms at roots of unity Nucl. Phys. B 622 615-32 (Preprint hep-th/0110116)
    • (2002) Nucl. Phys. , vol.622 , Issue.3 , pp. 615-632
    • Nepomechie, R.I.1
  • 28
    • 23844554163 scopus 로고    scopus 로고
    • Chiral Potts rapidity curve descended from six-vertex model and symmetry group of rapidities
    • Roan S S 2005 Chiral Potts rapidity curve descended from six-vertex model and symmetry group of rapidities J. Phys. A: Math. Gen. 38 7483-99 (Preprint cond-mat/0410011)
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.34 , pp. 7483-7499
    • Roan, S.S.1
  • 29
    • 26244449960 scopus 로고    scopus 로고
    • (j)-matrices in the superintegrable chiral Potts model
    • (j)- matrices in the superintegrable chiral Potts model J. Stat. Mech. P09007 (Preprint cond-mat/0505698)
    • (2005) J. Stat. Mech. , vol.2005 , Issue.9 , pp. 09007
    • Roan, S.S.1
  • 31
    • 34250143502 scopus 로고
    • Some algebraic structures connected with the Yang-Baxter equation
    • Sklyanin E K 1983 Some algebraic structures connected with the Yang-Baxter equation Funct. Anal. Appl. 16 263-70
    • (1983) Funct. Anal. Appl. , vol.16 , Issue.4 , pp. 263-270
    • Sklyanin, E.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.