Quantum field theories in finite volume: Excited state energies

Nuclear Physics B

Volumn 489, Issue 3, 1997, Pages 487-531

  Bazhanov, Vladimir V ^a,b   Lukyanov, Sergei L ^c,e   Zamolodchikov, Alexander B ^d,e,f  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b STEKLOV MATHEMATICAL INSTITUTE   (Russian Federation)

^c Department of Population Medicine and Diagnostic Sciences   (United States)

^d UNIV MONTPELLIER   (France)

^e LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^f RUTGERS UNIVERSITY   (United States)

Author keywords

Finite size scaling; Integrable models; Lee yang model; Thermodynamic bethe ansatz

Indexed keywords

EID: 0031557519     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00022-9     Document Type: Article

References (41)

1. [1] V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz, Commun. Math. Phys. 177 (1996) 381.
2. [2] G. Mussardo, Off-critical statistical models, factorized scattering theories and bootstrap program, Phys. Rep. 218 (1992) 215.
3. [3] C.N. Yang and C.P. Yang, Thermodynamics of one-dimensional system of bosons with repulsive delta-function potential, J. Math. Phys. 10 (1969) 1115.
4. [4] Al.B. Zamolodchikov, Thermodynamic Bethe ansatz in relativistic models: Scaling 3-state Potts and Lee-Yang models, Nucl. Phys. B 342 (1990) 695.
5. [5] M.J. Martins, Complex excitations in the Thermodynamic Bethe Ansatz approach, Phys. Rev. Lett. 67 (1991) 419.
6. [6] P. Fendley, Exited state thermodynamics, Nucl. Phys. B 374 (1992) 667.
7. [7] R.J. Baxter, Partition function of the eight vertex model, Ann. Phys. 70 (1972) 193.
8. [8] R.J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
9. [9] A. Klümper and P.A. Pearce, Analytical calculations of Scaling Dimensions: Tricritical Hard Square and Critical Hard Hexagons, J. Stat. Phys. 64 (1991) 13; Conformal weights of RSOS lattice models and their fusion hierarchies, J. Phys. A 183 (1992) 304.
10. [9] A. Klümper and P.A. Pearce, Analytical calculations of Scaling Dimensions: Tricritical Hard Square and Critical Hard Hexagons, J. Stat. Phys. 64 (1991) 13; Conformal weights of RSOS lattice models and their fusion hierarchies, J. Phys. A 183 (1992) 304.
11. [10] A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B 241 (1984) 333.
12. [11] A.B. Zamolodchikov, Integrable field theory from conformal field theory, Adv. Stud. in Pure Math. 19 (1989) 641.
13. [12] G. Mussardo and L. Cardy, S-matrix of the Yang-Lee edge singularity in two dimensions, Phys. Lett. B 225 (1989) 275.
14. [13] V.P. Yurov and Al.B. Zamolodchikov, Truncated conformal space approach to scaling Lee-Yang model, Int. J. Mod. Phys. A 5 (1990) 3221.
15. [14] Al.B. Zamolodchikov, Mass scale in the Sine-Gordon model and its reductions, Int. J. Mod. Phys. A 10 (1995) 1125.
16. [15] R. Sasaki and I. Yamanaka, Virasoro algebra, vertex operators, quantum Sine-Gordon and solvable Quantum Field theories, Adv. Stud. in Pure Math. 16 (1988) 271.
17. [16] T. Eguchi and S.K. Yang, Deformation of conformal field theories and soliton equations, Phys. Lett. B 224 (1989) 373.
18. [17] B. Feigin and E. Frenkel, Integrals of motion and quantum groups, Proceeding of C.I.M.E. Summer School on Integrable systems and Quantum groups, hep-th/9310022.
19. [18] B.L. Feigin and D.B. Fuchs, Representations of the Virasoro algebra, in Topology Proceedings, ed. L.D. Faddeev and A.A. Mal'cev (Leningrad 1982), Lect. Notes in Math. (Springer, Berlin, 1984) p. 1060.
20. [18] B.L. Feigin and D.B. Fuchs, Representations of the Virasoro algebra, in Topology Proceedings, ed. L.D. Faddeev and A.A. Mal'cev (Leningrad 1982), Lect. Notes in Math. (Springer, Berlin, 1984) p. 1060.
21. [19] VI.S. Dotsenko and V.A. Fateev, Conformal algebra and multipoint correlation functions in 2d statistical models, Nucl. Phys. B 240 [FS12] (1984) 312; Four-point correlation functions and the operator algebra in 2d conformal invariant theories with central charge c ≤ 1, Nucl. Phys. B 251 [FS13] (1985) 691.
22. [19] VI.S. Dotsenko and V.A. Fateev, Conformal algebra and multipoint correlation functions in 2d statistical models, Nucl. Phys. B 240 [FS12] (1984) 312; Four-point correlation functions and the operator algebra in 2d conformal invariant theories with central charge c ≤ 1, Nucl. Phys. B 251 [FS13] (1985) 691.
23. [20] V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Integrable Structure of Conformal Field Theory II, Q-operator and DDV equation, Preprint CLNS 96/1405, LPTENS 96/18, hepth 9604044.
24. [21] V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relations, to appear.
25. [22] Al.B. Zamolodchikov, On the TBA Equations for Reflectionless ADE Scattering Theories, Phys. Lett. B 253 (1991) 391.
26. [23] P. Fendley, A.W.W. Ludwig and H. Saleur, Exact non-equilibrium transport through point contact in quantum wires and fractional Hall devices, preprint USC-95/007, cond-mat/9503172.
27. [24] T.R. Klassen and E. Melzer, Spectral flow between conformal field theories in 1 + 1 dimensions, Nucl. Phys. B 370 (1992) 511.
28. [25] J.L. Cardy, Conformal invariance and the Yang-Lee edge singularity in two dimensions, Phys. Rev. Lett. 54 (1985) 1354.
29. [26] R.J. Baxter and P.A. Pearce, Hard Hexagons: Interfacial tension and correlation length, J. Phys. A: Math. Gen. 15 (1982) 897.
30. [27] T.R. Klassen and E. Melzer, On the Relation Between Scattering Amplitudes and Finite Size Mass Corrections, Nucl. Phys. B 362 (1991) 329.
31. [28] N.Yu. Reshetikhin and F.A. Smirnov, Hidden quantum group symmetry and integrable perturbations of conformal field theories, Commun. Math. Phys. 131 (1990) 157.
32. [29] D. Bernard and A. LeClair, Residual quantum symmetries of the restricted Sine-Gordon theories, Nucl. Phys. B 340 (1990) 721.
33. [30] A.B. Zamolodchikov and Al.B. Zamolodchikov, Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models, Ann. Phys. (N.Y.) 120 (1979) 253.
34. [31] L.D. Faddeev and L.A. Takhtajan, Hamiltonian Method in the Theory of Solitons (Springer, Berlin, 1987).
35. [32] V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov, work in progress.
36. [33] D. Fioravanti, F. Ravanini and M. Stanishkov, Generalized KdV and Quantum Inverse Scattering Description of Conformal Minimal Models, Phys. Lett. B 367 (1996) 113.
37. [34] P. Fendley and H. Saleur, Exact perturbative solution of the Kondo problem, Phys. Rev. Lett. 75 (1995) 4492.
38. [35] M. Abramowitz and I. Stegun, Handbook of mathematical function (Dover, New York, 1970).
39. [36] P. Fendley and H. Saleur, Massless integrable quantum field theories and massless scattering in 1+1 dimensions, preprint USC-93-022, hep-th/9310058.
40. [37] A.N. Kirillov, Dilogarithm identities, Prog. Theor. Phys. Suppl. 118 (1995) 61.
41. [38] Al.B. Zamolodchikov, Two-Point Correlation Function in Scaling Lee-Yang Model, Nucl. Phys. B 348 (1991) 619.