Russian doll renormalization group and Kosterlitz-Thouless flows

Nuclear Physics B

Volumn 675, Issue 3, 2003, Pages 584-606

  LeClair, André ^a   Román, José María ^a   Sierra, Germán ^a  

^a CSIC   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242595789     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2003.09.032     Document Type: Article

References (37)

1. Wilson K.G. Renormalization group and strong interactions Phys. Rev. D 3 1971 1818
2. Bedaque P.F. Hammer H.-W. van Kolck U. Renormalization of the three-body system with short-range interactions Phys. Rev. Lett. 82 1999 463 nucl-th/9809025
3. Glazek S.D. Wilson K.G. Limit cycles in quantum theories Phys. Rev. Lett. 89 2002 230401 hep-th/0203088
4. Bernard D. LeClair A. Strong-weak coupling duality in anisotropic current interactions Phys. Lett. B 512 2001 78 hep-th/0103096
5. LeClair A. Román J.M. Sierra G. Russian doll renormalization group and superconductivity cond-mat/0211338
6. Gerganov B. LeClair A. Moriconi M. On the beta function for anisotropic current interactions in 2D Phys. Rev. Lett. 86 2001 4753 hep-th/0011189
7. Zamolodchikov A.B. Commun. Math. Phys. 69 1979 253
8. Mussardo G. Penati S. A quantum field theory with infinite resonance states Nucl. Phys. B 567 2000 454-492 hep-th/9907039
9. Al. Zamolodchikov, unpublished
10. Lukyanov S. Low energy effective Hamiltonian for the XXZ spin chain cond-mat/9712314
11. Ludwig A.W.W. Wiese K.J. The 4-loop beta-function in the 2D non-Abelian Thirring model, and comparison with its conjectured "exact" form cond-mat/0211531
12. LeClair A. Strong coupling fixed points of current interactions and disordered fermions in 2D Phys. Rev. B 64 2001 045329 cond-mat/0011413
13. Bernard D. LeClair A. Quantum group symmetries and non-local conserved currents in 2D QFT Commun. Math. Phys. 142 1991 99
14. Sklyanin E.K. Takhtajan L.A. Faddeev L.D. Quantum inverse problem method I Theor. Math. Phys. 40 1980 688
15. Korepin V.E. Bogoliubov N.M. Izergin A.G. Quantum Inverse Scattering Method 1993 Cambridge Univ. Press Cambridge
16. Jimbo M. Miwa T. Algebraic Analysis of Solvable Lattice Models CBMS Regional Conference Series in Mathematics 85 1995 American Mathematical Society Providence, RI
17. Zamolodchikov A.B. Zamolodchikov Al.B. Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models Ann. Phys. 120 1979 253
18. Zamolodchikov Al.B. Resonance factorized scattering and roaming trajectories ENS-LPS 335 (1991) hep-th/0005181
19. Dorey P. Ravanini F. Generalising the staircase models Nucl. Phys. B 406 1993 708 hep-th/9211115
20. Miramontes J.L. Hermitian analyticity versus real analyticity in two-dimensional factorised S-matrix theories Phys. Lett. B 455 1999 231-238 hep-th/9901145
21. (2) perturbations of WZW model Nucl. Phys. B 501 1997 685 hep-th/9612040
22. Miramontes J.L. Fernández-Pousa C.R. Integrable quantum field theories with unstable particles Phys. Lett. B 472 2000 392 hep-th/9910218
23. Castro-Alvaredo O.A. Dreissig J. Fring A. Integrable scattering theories with unstable particles hep-th/0211168
24. Kulish P.P. Reshetikhin N.Yu. Sklyanin E.K. Lett. Math. Phys. 5 1981 393
25. Green M.B. Schwarz J.H. Witten E. Superstring Theory, Vol. 1 1987 Cambridge Univ. Press Cambridge
26. Gomez C. Sierra G. Integrability and uniformization in Liouville theory: the geometrical origin of quantized symmetries Phys. Lett. B 225 1991 51
27. Moore G. Plesser M.R. Ramgoolam S. Exact S-matrix for 2D string theory Nucl. Phys. B 377 1992 143 hep-th/9111035
28. Ginsparg P. Moore G. Lectures on 2D gravity and 2D string theory (TASI 1992) hep-th/9304011
29. Klebanov I.R. String theory in two dimensions ICTP Spring School on String Theory and Quantum Gravity, Trieste, April 1991 hep-th/9108019
30. Affleck I. in: Les Houches 1988 1990 North-Holland Amsterdam
31. Gogolin A.O. Nersesyan A.A. Tsvelik A.M. Bosonization and Strongly Correlated Systems 1998 Cambridge Univ. Press Cambridge
32. R. Nepomechi, L. Mezincescu, unpublished, private communication
33. Baxter R.J. Exactly Solved Models in Statistical Mechanics 1982 Academic Press London
34. Whittaker E.T. Watson G.N. A Course on Modern Analysis 1980 Cambridge Univ. Press London
35. Zamolodchikov A.B. Irreversibility of the flux of the renormalization group in a two-dimensional field theory JETP Lett. 43 1986 730
36. Zamolodchikov Al. Nucl. Phys. B 358 1991 497
37. A. LeClair, J.M. Román, G. Sierra, in preparation