On the relation between Stokes multipliers and the T-Q systems of conformal field theory

Nuclear Physics B

Volumn 563, Issue 3, 1999, Pages 573-602

  Dorey, Patrick ^a   Tateo, Roberto ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Conformal field theory; Quantum mechanics; Schr dinger problems; Thermodynamic Bethe ansatz

Indexed keywords

EID: 0033590228     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(99)00609-4     Document Type: Article

References (48)

1. P. Dorey, R. Tateo, Anharmonic Oscillators, the Thermodynamic Bethe Ansatz, and Non-linear Integral Equations preprint DTP-98/81, ITFA 98-41, hep-th/9812211.
2. A. Voros, Adv. Stud. Pure Math. 21 (1992) 327.
3. A. Voros, J. Physique Lett. 43 (1982) L1.
4. Al.B. Zamolodchikov, Phys. Lett. B 253 (1991) 391.
5. P.A. Pearce, J. Phys. A 18 (1985) 3217.
6. J. Suzuki, J. Phys. A 32 (1999) L183. hep-th/9902053.
7. R. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, New York, 1982).
8. V.V. Bazhanov, S.L. Lukyanov, A.B. Zamolodchikov, Commun. Math. Phys. 190 (1997) 247.
9. A. Voros, J. Phys. A 32 (1999) 1301. math-ph/9811001.
10. V.V. Bazhanov, S.L. Lukyanov, A.B. Zamolodchikov, Spectral Determinants for Schrödinger Equation and Q-operators of Conformal Field Theory, preprint RU-99-01, hep-th/9812247.
11. P. Fendley, F. Lesage, H. Saleur, J. Stat. Phys. 85 (1996) 211. cond-mat/9510055.
12. P.-F. Hsieh, Y. Sibuya, J. Math. Anal. Appl. 16 (1966) 84.
13. Y. Sibuya, Global Theory of a Second-order Linear Ordinary Differential Operator with Polynomial Coefficient (North-Holland, Amsterdam, 1975).
14. E.J. Squires, Complex Angular Momenta and Particle Physics (Benjamin, Menlo Park, 1963).
15. R.G. Newton, The Complex J-plane (Benjamin, Menlo Park, 1964).
16. A. Klümper M.T. Batchelor, P.A. Pearce, J. Phys. A 24 (1991) 3111.
17. E.C. Titchmarsh, The Theory of Functions (Oxford Univ. Press, Oxford, 1932).
18. C. Destri, H.J. de Vega, Phys. Rev. Lett. 69 (1992) 2313.
19. C. Destri, H.J. de Vega, Nucl. Phys. B 438 (1995) 413.
20. D. Fioravanti, A. Mariottini, E. Quattrini, F. Ravanini, Phys. Lett. B 390 (1997) 243. hep-th/9608091.
21. P. Dorey, R. Tateo, Nucl. Phys. B 482 (1996) 639.
22. A. Galindo, P. Pascual, Quantum Mechanics I (Springer, Berlin, 1990).
23. M. Abramowitz, I.A. Stegun, Eds., Handbook of Mathematical Functions (National Bureau of Standards, 1964).
24. C.M. Bender, S. Boettcher, Phys. Rev. Lett. 80 (1998) 4243. physics/9712001.
25. A. Voros, Nucl. Phys. B 165 (1980) 209.
26. A. Voros, Ann. Inst. Henri Poincaré XXXIX (1983) 211.
27. A. Klümper, P.A. Pearce, Physica A 183 (1992) 304.
28. A. Kuniba, T. Nakanishi, J. Suzuki, Int. J. Mod. Phys. A 9 (1994) 5215.
29. V.V. Bazhanov, S.L. Lukyanov, A.B. Zamolodchikov, Commun. Math. Phys. 177 (1996) 381.
30. V.V. Bazhanov, S.L. Lukyanov, A.B. Zamolodchikov, Integrable structure of conformal field theory III. The Yang-Baxter Relation, Commun. Math. Phys. 200 (1999) 297, hep-th/9805008.
31. Al.B. Zamolodchikov, Nucl. Phys. B 342 (1990) 695.
32. H. Cheng, Phys. Rev. 127 (1962) 647.
33. R. Caracciolo, F. Gliozzi, R. Tateo, A Topological Invariant of RG Flows in 2D Integrable Quantum Field Theories, preprint DFTT-5/99, ITFA 99-3, hep-th/9902094.
34. A.N. Kirillov, Prog. Theor. Phys. Suppl. 118 (1995) 61.
35. F. Gliozzi, R. Tateo, Phys. Lett. B 348 (1995) 84.
36. D. Zagier, Arithmetic Algebraic Geometry (Birkhäuser, Basel, 1991) p. 391.
37. F. Gliozzi, R. Tateo, Int. J. Mod. Phys. A 11 (1996) 4051.
38. C.M. Bender, S. Boettcher, P.N. Meisinger, J. Math. Phys. 40 (1999) 2201. quant-ph/9809072.
39. M.V. Berry, Proc. R. Soc. Lond. A 422 (1989) 7.
40. C.M. Bender, S. Boettcher, H.F. Jones, V.M. Savage, Complex Square Well - a New Exactly Solvable Quantum Mechanical Model, quant-ph/9906057.
41. R.E. Langer, Phys. Rev. 51 (1937) 669.
42. T. Regge, Nuovo Cimento 14 (1959) 951.
43. T. Regge, Nuovo Cimento 16 (1960) 947.
44. P. Fendley, Airy Functions in the Thermodynamic Bethe Ansatz hep-th/9906114.
45. A. Voros, Exact resolution method for general ID polynomial Schrödinger equation, math-ph/9903045, J. Phys. A 32 (1999) 5993.
46. P. Fendley, H. Saleur, Differential Equations and Duality in Massless Integrable Field Theories at Zero Temperature, solv-int/9904012.
47. P. Dorey, R. Tateo, Nucl. Phys. B 515 (1998) 575.
48. F.W.J. Olver, Asymptotics and Special Functions (Academic Press, New York, 1974).