메뉴 건너뛰기




Volumn 33, Issue 47, 2000, Pages 8427-8441

Differential equations for general SU(n) Bethe ansatz systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034364844     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/47/308     Document Type: Article
Times cited : (62)

References (55)
  • 1
    • 0033600680 scopus 로고    scopus 로고
    • Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations
    • Dorey P and Tateo R 1999 Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations J. Phys. A: Math. Gen. 32 L419-25 (Dorey P and Tateo R 1998 Preprint hep-th/9812211)
    • (1999) J. Phys. A: Math. Gen. , vol.32
    • Dorey, P.1    Tateo, R.2
  • 2
    • 0033600680 scopus 로고    scopus 로고
    • Preprint hep-th/9812211
    • Dorey P and Tateo R 1999 Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations J. Phys. A: Math. Gen. 32 L419-25 (Dorey P and Tateo R 1998 Preprint hep-th/9812211)
    • (1998)
    • Dorey, P.1    Tateo, R.2
  • 5
    • 0040714283 scopus 로고    scopus 로고
    • Preprint hep-th/9902053
    • 2) J. Phys. A: Math. Gen. 32 L183-8 (Suzuki J 1999 Preprint hep-th/9902053)
    • (1999)
    • Suzuki, J.1
  • 6
    • 0033590228 scopus 로고    scopus 로고
    • On the relation between Stokes multipliers and the T-Q systems of conformal field theory
    • Dorey P and Tateo R 1999 On the relation between Stokes multipliers and the T-Q systems of conformal field theory Nucl. Phys. B 563 573-602 (Dorey P and Tateo R 1999 Preprint hep-th/9906219)
    • (1999) Nucl. Phys. B , vol.563 , pp. 573-602
    • Dorey, P.1    Tateo, R.2
  • 7
    • 0033590228 scopus 로고    scopus 로고
    • Preprint hep-th/9906219
    • Dorey P and Tateo R 1999 On the relation between Stokes multipliers and the T-Q systems of conformal field theory Nucl. Phys. B 563 573-602 (Dorey P and Tateo R 1999 Preprint hep-th/9906219)
    • (1999)
    • Dorey, P.1    Tateo, R.2
  • 8
    • 0034629591 scopus 로고    scopus 로고
    • Differential equations and integrable models: The SU (3) case
    • Dorey P and Tateo R 2000 Differential equations and integrable models: the SU (3) case Nucl. Phys. B 571 583-606 (Dorey P and Tateo R 1999 Preprint hep-th/9910102)
    • (2000) Nucl. Phys. B , vol.571 , pp. 583-606
    • Dorey, P.1    Tateo, R.2
  • 9
    • 0034629591 scopus 로고    scopus 로고
    • Preprint hep-th/9910102
    • Dorey P and Tateo R 2000 Differential equations and integrable models: the SU (3) case Nucl. Phys. B 571 583-606 (Dorey P and Tateo R 1999 Preprint hep-th/9910102)
    • (1999)
    • Dorey, P.1    Tateo, R.2
  • 11
    • 0039013807 scopus 로고    scopus 로고
    • Preprint hep-th/9910215
    • n) J. Phys. A: Math. Gen. 33 3507-21 (Suzuki J 1999 Preprint hep-th/9910215)
    • (1999)
    • Suzuki, J.1
  • 13
    • 0002251610 scopus 로고
    • On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients
    • Hsieh P-F and Sibuya Y 1966 On the asymptotic integration of second order linear ordinary differential equations with polynomial coefficients J. Math. Anal. Appl. 16 84-103 Sibuya Y 1975 Global Theory of a Second-Order Linear Ordinary Differential Operator with Polynomial Coefficient (Amsterdam: North-Holland)
    • (1966) J. Math. Anal. Appl. , vol.16 , pp. 84-103
    • Hsieh, P.-F.1    Sibuya, Y.2
  • 16
    • 0019928317 scopus 로고    scopus 로고
    • Semi-classical correspondence and exact results: The case of the spectra of homogeneous Schrödinger operators
    • Voros A 1982 Semi-classical correspondence and exact results: the case of the spectra of homogeneous Schrödinger operators J. Physique Lett. 43 L1-4 Voros A 1983 The return of the quartic oscillator. The complex WKB method Ann. Inst. Henri Poincaré 39 211-338 Voros A 1999 Exact resolution method for general ID polynomial Schrödinger equation J. Phys. A: Math. Gen. 32 5993-6007 (Voros A 1999 Preprint math-ph/9903045)
    • (1982) J. Physique Lett. , vol.43
    • Voros, A.1
  • 17
    • 0019928317 scopus 로고    scopus 로고
    • The return of the quartic oscillator. The complex WKB method
    • Voros A 1982 Semi-classical correspondence and exact results: the case of the spectra of homogeneous Schrödinger operators J. Physique Lett. 43 L1-4 Voros A 1983 The return of the quartic oscillator. The complex WKB method Ann. Inst. Henri Poincaré 39 211-338 Voros A 1999 Exact resolution method for general ID polynomial Schrödinger equation J. Phys. A: Math. Gen. 32 5993-6007 (Voros A 1999 Preprint math-ph/9903045)
    • (1983) Ann. Inst. Henri Poincaré , vol.39 , pp. 211-338
    • Voros, A.1
  • 18
    • 0033551649 scopus 로고    scopus 로고
    • Exact resolution method for general ID polynomial schrödinger equation
    • Voros A 1982 Semi-classical correspondence and exact results: the case of the spectra of homogeneous Schrödinger operators J. Physique Lett. 43 L1-4 Voros A 1983 The return of the quartic oscillator. The complex WKB method Ann. Inst. Henri Poincaré 39 211-338 Voros A 1999 Exact resolution method for general ID polynomial Schrödinger equation J. Phys. A: Math. Gen. 32 5993-6007 (Voros A 1999 Preprint math-ph/9903045)
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 5993-6007
    • Voros, A.1
  • 19
    • 0019928317 scopus 로고    scopus 로고
    • Preprint math-ph/9903045
    • Voros A 1982 Semi-classical correspondence and exact results: the case of the spectra of homogeneous Schrödinger operators J. Physique Lett. 43 L1-4 Voros A 1983 The return of the quartic oscillator. The complex WKB method Ann. Inst. Henri Poincaré 39 211-338 Voros A 1999 Exact resolution method for general ID polynomial Schrödinger equation J. Phys. A: Math. Gen. 32 5993-6007 (Voros A 1999 Preprint math-ph/9903045)
    • (1999)
    • Voros, A.1
  • 20
    • 0031549912 scopus 로고    scopus 로고
    • Integrable structure of conformal field theory II. Q-operator and DDV equation
    • Bazhanov V V, Lukyanov S L and Zamolodchikov A B 1997 Integrable structure of conformal field theory II. Q-operator and DDV equation Commun. Math. Phys. 190 247-78 (Bazhanov V V, Lukyanov S L and Zamolodchikov A B 1996 Preprint hep-th/9604044)
    • (1997) Commun. Math. Phys. , vol.190 , pp. 247-278
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 21
    • 0031549912 scopus 로고    scopus 로고
    • Preprint hep-th/9604044
    • Bazhanov V V, Lukyanov S L and Zamolodchikov A B 1997 Integrable structure of conformal field theory II. Q-operator and DDV equation Commun. Math. Phys. 190 247-78 (Bazhanov V V, Lukyanov S L and Zamolodchikov A B 1996 Preprint hep-th/9604044)
    • (1996)
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 23
    • 0041048843 scopus 로고    scopus 로고
    • Quantum integrable models and discrete classical hirota equations
    • Krichiver I, Lipan O, Wiegmann P and Zabrodin A 1997 Quantum integrable models and discrete classical Hirota equations Commun. Math. Phys. 199 267-304 (Krichiver I, Lipan O, Wiegmann P and Zabrodin A 1996 Preprint hep-th/9604080)
    • (1997) Commun. Math. Phys. , vol.199 , pp. 267-304
    • Krichiver, I.1    Lipan, O.2    Wiegmann, P.3    Zabrodin, A.4
  • 24
    • 0041048843 scopus 로고    scopus 로고
    • Preprint hep-th/9604080
    • Krichiver I, Lipan O, Wiegmann P and Zabrodin A 1997 Quantum integrable models and discrete classical Hirota equations Commun. Math. Phys. 199 267-304 (Krichiver I, Lipan O, Wiegmann P and Zabrodin A 1996 Preprint hep-th/9604080)
    • (1996)
    • Krichiver, I.1    Lipan, O.2    Wiegmann, P.3    Zabrodin, A.4
  • 25
    • 0009995780 scopus 로고
    • The spectrum of the transfer matrices connected with Kac-Moody algebras
    • Reshetikhin N Yu 1987 The spectrum of the transfer matrices connected with Kac-Moody algebras Lett. Math. Phys. 14 235-46
    • (1987) Lett. Math. Phys. , vol.14 , pp. 235-246
    • Reshetikhin, N.Yu.1
  • 26
    • 21844493146 scopus 로고
    • Analytic bethe ansatz for fundamental representations of Yangians
    • Kuniba A and Suzuki J 1995 Analytic Bethe ansatz for fundamental representations of Yangians Commun. Math. Phys. 173 225-64 (Kuniba A and Suzuki J 1994 Preprint hep-th/9406180)
    • (1995) Commun. Math. Phys. , vol.173 , pp. 225-264
    • Kuniba, A.1    Suzuki, J.2
  • 27
    • 21844493146 scopus 로고
    • Preprint hep-th/9406180
    • Kuniba A and Suzuki J 1995 Analytic Bethe ansatz for fundamental representations of Yangians Commun. Math. Phys. 173 225-64 (Kuniba A and Suzuki J 1994 Preprint hep-th/9406180)
    • (1994)
    • Kuniba, A.1    Suzuki, J.2
  • 28
    • 0000159493 scopus 로고
    • New thermodynamic Bethe ansatz equations without strings
    • Destri C and de Vega H J 1992 New thermodynamic Bethe ansatz equations without strings Phys. Rev. Lett. 69 2313-7 . Destri C and de Vega H J 1995 Unified approach to thermodynamic Bethe ansatz and finite size corrections for lattice models and field theories Nucl. Phys. B 438 413-54
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2313-2317
    • Destri, C.1    De Vega, H.J.2
  • 29
    • 0038035086 scopus 로고
    • Unified approach to thermodynamic Bethe ansatz and finite size corrections for lattice models and field theories
    • Destri C and de Vega H J 1992 New thermodynamic Bethe ansatz equations without strings Phys. Rev. Lett. 69 2313-7 . Destri C and de Vega H J 1995 Unified approach to thermodynamic Bethe ansatz and finite size corrections for lattice models and field theories Nucl. Phys. B 438 413-54
    • (1995) Nucl. Phys. B , vol.438 , pp. 413-454
    • Destri, C.1    De Vega, H.J.2
  • 30
    • 33751272621 scopus 로고
    • Central charges of the 6- and 19-vertex models with twisted boundary conditions
    • Klümper A, Batchelor M T and Pearce P A 1991 Central charges of the 6- and 19-vertex models with twisted boundary conditions J. Phys. A: Math. Gen. 24 3111-33
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 3111-3133
    • Klümper, A.1    Batchelor, M.T.2    Pearce, P.A.3
  • 32
    • 0032493604 scopus 로고    scopus 로고
    • Nonlinear integral equations for complex Affine Toda models associated to simply laced lie algebras
    • Zinn-Justin P 1998 Nonlinear integral equations for complex Affine Toda models associated to simply laced Lie algebras J. Phys. A: Math. Gen. 31 6747-70 (Zinn-Justin P 1997 Preprint hep-th/9712222)
    • (1998) J. Phys. A: Math. Gen. , vol.31 , pp. 6747-6770
    • Zinn-Justin, P.1
  • 33
    • 0032493604 scopus 로고    scopus 로고
    • Preprint hep-th/9712222
    • Zinn-Justin P 1998 Nonlinear integral equations for complex Affine Toda models associated to simply laced Lie algebras J. Phys. A: Math. Gen. 31 6747-70 (Zinn-Justin P 1997 Preprint hep-th/9712222)
    • (1997)
    • Zinn-Justin, P.1
  • 34
    • 0000255407 scopus 로고
    • On the solutions of ordinary linear homogeneous differential equations of the third order
    • Birkhoff G D 1910-11 On the solutions of ordinary linear homogeneous differential equations of the third order Ann. Math. 12 103-27
    • (1910) Ann. Math. , vol.12 , pp. 103-127
    • Birkhoff, G.D.1
  • 36
    • 26544461659 scopus 로고
    • On wronskians of functions of a real variable
    • Bôcher M 1901 On Wronskians of functions of a real variable Bull. Am. Math. Soc. 8 53-63
    • (1901) Bull. Am. Math. Soc. , vol.8 , pp. 53-63
    • Bôcher, M.1
  • 37
    • 0042078579 scopus 로고    scopus 로고
    • Excited state Destri de Vega equation for sine-Gordon and restricted sine-Gordon models
    • Fioravanti D, Mariottini A, Quattrini E and Ravanini F 1997 Excited state Destri de Vega equation for sine-Gordon and restricted sine-Gordon models Phys. Lett. B 390 243-251 (Fioravanti D, Mariottini A, Quattrini E and Ravanini F 1996 Preprint hep-th/9608091)
    • (1997) Phys. Lett. B , vol.390 , pp. 243-251
    • Fioravanti, D.1    Mariottini, A.2    Quattrini, E.3    Ravanini, F.4
  • 38
    • 0042078579 scopus 로고    scopus 로고
    • Preprint hep-th/9608091
    • Fioravanti D, Mariottini A, Quattrini E and Ravanini F 1997 Excited state Destri de Vega equation for sine-Gordon and restricted sine-Gordon models Phys. Lett. B 390 243-251 (Fioravanti D, Mariottini A, Quattrini E and Ravanini F 1996 Preprint hep-th/9608091)
    • (1996)
    • Fioravanti, D.1    Mariottini, A.2    Quattrini, E.3    Ravanini, F.4
  • 39
    • 36149009714 scopus 로고
    • On the connection formulas and the solutions of the wave equation
    • Langer R E 1937 On the connection formulas and the solutions of the wave equation Phys. Rev. 51 669-76
    • (1937) Phys. Rev. , vol.51 , pp. 669-676
    • Langer, R.E.1
  • 40
    • 21844513685 scopus 로고
    • Solving 1-D plasmas and 2-D boundary problems using Jack polynomials and functional relations
    • Fendley P, Lesage F and Saleur H 1995 Solving 1-D plasmas and 2-D boundary problems using Jack polynomials and functional relations J. Stat. Phys. 79 799 (Fendley P, Lesage F and Saleur H 1994 Preprint hep-th/9409176)
    • (1995) J. Stat. Phys. , vol.79 , pp. 799
    • Fendley, P.1    Lesage, F.2    Saleur, H.3
  • 41
    • 21844513685 scopus 로고
    • Preprint hep-th/9409176
    • Fendley P, Lesage F and Saleur H 1995 Solving 1-D plasmas and 2-D boundary problems using Jack polynomials and functional relations J. Stat. Phys. 79 799 (Fendley P, Lesage F and Saleur H 1994 Preprint hep-th/9409176)
    • (1994)
    • Fendley, P.1    Lesage, F.2    Saleur, H.3
  • 42
    • 0030543712 scopus 로고    scopus 로고
    • Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
    • Bazhanov V V, Lukyanov S L and Zamolodchikov A B 1996 Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz Commun. Math. Phys. 177 381-98 (Bazhanov V V Lukyanov S L and Zamolodchikov A B 1994 Preprint hep-th/9412229)
    • (1996) Commun. Math. Phys. , vol.177 , pp. 381-398
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 43
    • 0030543712 scopus 로고    scopus 로고
    • Preprint hep-th/9412229
    • Bazhanov V V, Lukyanov S L and Zamolodchikov A B 1996 Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz Commun. Math. Phys. 177 381-98 (Bazhanov V V Lukyanov S L and Zamolodchikov A B 1994 Preprint hep-th/9412229)
    • (1994)
    • Bazhanov, V.V.1    Lukyanov, S.L.2    Zamolodchikov, A.B.3
  • 44
    • 0010627994 scopus 로고    scopus 로고
    • A unified framework for the kondo problem and for an impurity in a Luttinger liquid
    • Fendley P, Lesage F and Saleur H 1996 A unified framework for the Kondo problem and for an impurity in a Luttinger liquid J. Stat. Phys, 85 211-49 (Fendley P, Lesage F and Saleur H 1995 Preprint cond-mat/9510055)
    • (1996) J. Stat. Phys , vol.85 , pp. 211-249
    • Fendley, P.1    Lesage, F.2    Saleur, H.3
  • 45
    • 0010627994 scopus 로고    scopus 로고
    • Preprint cond-mat/9510055
    • Fendley P, Lesage F and Saleur H 1996 A unified framework for the Kondo problem and for an impurity in a Luttinger liquid J. Stat. Phys, 85 211-49 (Fendley P, Lesage F and Saleur H 1995 Preprint cond-mat/9510055)
    • (1995)
    • Fendley, P.1    Lesage, F.2    Saleur, H.3
  • 46
    • 0032541207 scopus 로고    scopus 로고
    • TBA and TCSA with boundaries and excited states
    • Dorey P, Pocklington A, Tateo R and Watts GMT 1998 TBA and TCSA with boundaries and excited states Nucl. Phys. B 525 641-63 (Dorey P, Pocklington A, Tateo R and Watts G M T 1997 Preprint hep-th/9712197)
    • (1998) Nucl. Phys. B , vol.525 , pp. 641-663
    • Dorey, P.1    Pocklington, A.2    Tateo, R.3    Watts, G.M.T.4
  • 47
    • 0032541207 scopus 로고    scopus 로고
    • Preprint hep-th/9712197
    • Dorey P, Pocklington A, Tateo R and Watts GMT 1998 TBA and TCSA with boundaries and excited states Nucl. Phys. B 525 641-63 (Dorey P, Pocklington A, Tateo R and Watts G M T 1997 Preprint hep-th/9712197)
    • (1997)
    • Dorey, P.1    Pocklington, A.2    Tateo, R.3    Watts, G.M.T.4
  • 48
    • 0346304211 scopus 로고    scopus 로고
    • Boundary flows in minimal models
    • Lesage F, Saleur H and Simonetti P 1998 Boundary flows in minimal models Phys. Lett. B 427 85-92 (Lesage F, Saleur H and Simonetti P 1998 Preprint hep-th/9802061)
    • (1998) Phys. Lett. B , vol.427 , pp. 85-92
    • Lesage, F.1    Saleur, H.2    Simonetti, P.3
  • 49
    • 0346304211 scopus 로고    scopus 로고
    • Preprint hep-th/9802061
    • Lesage F, Saleur H and Simonetti P 1998 Boundary flows in minimal models Phys. Lett. B 427 85-92 (Lesage F, Saleur H and Simonetti P 1998 Preprint hep-th/9802061)
    • (1998)
    • Lesage, F.1    Saleur, H.2    Simonetti, P.3
  • 50
    • 0034600575 scopus 로고    scopus 로고
    • g function flow in perturbed boundary conformal field theories
    • Dorey P, Runkel I, Tateo R and Watts GMT 2000 g function flow in perturbed boundary conformal field theories Nucl. Phys. B 578 85-122 (Dorey P, Runkel I, Tateo R and Watts G M T 1999 Preprint hep-th/9909216)
    • (2000) Nucl. Phys. B , vol.578 , pp. 85-122
    • Dorey, P.1    Runkel, I.2    Tateo, R.3    Watts, G.M.T.4
  • 51
    • 0034600575 scopus 로고    scopus 로고
    • Preprint hep-th/9909216
    • Dorey P, Runkel I, Tateo R and Watts GMT 2000 g function flow in perturbed boundary conformal field theories Nucl. Phys. B 578 85-122 (Dorey P, Runkel I, Tateo R and Watts G M T 1999 Preprint hep-th/9909216)
    • (1999)
    • Dorey, P.1    Runkel, I.2    Tateo, R.3    Watts, G.M.T.4
  • 53
    • 0000550675 scopus 로고
    • Universal noninteger 'ground-state degeneracy' in critical quantum systems
    • Affleck I and Ludwig A W W 1991 Universal noninteger 'ground-state degeneracy' in critical quantum systems Phys. Rev. Lett. 67 161-4
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 161-164
    • Affleck, I.1    Ludwig, A.W.W.2
  • 54
    • 11544339752 scopus 로고    scopus 로고
    • Real spectra in non-Hermitian Hamiltonians having script P signscript T sign symmetry
    • Bender C M and Boettcher S 1998 Real spectra in non-Hermitian Hamiltonians having Script P signScript T sign symmetry Phys. Rev. Lett. 80 4243-5246 (Bender C M and Boettcher S 1997 Preprint physics/9712001)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 4243-5246
    • Bender, C.M.1    Boettcher, S.2
  • 55
    • 0041127018 scopus 로고    scopus 로고
    • Preprint physics/9712001
    • Bender C M and Boettcher S 1998 Real spectra in non-Hermitian Hamiltonians having Script P signScript T sign symmetry Phys. Rev. Lett. 80 4243-5246 (Bender C M and Boettcher S 1997 Preprint physics/9712001)
    • (1997)
    • Bender, C.M.1    Boettcher, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.