Wilson-Polchinski exact renormalization group equation for O (N) systems: Leading and next-to-leading orders in the derivative expansion

Journal of Physics Condensed Matter

Volumn 17, Issue 20, 2005, Pages

  Bervillier, C ^a,b  

^a Centre National de la Recherche Scientifique   (France)

^b Parc de Grandmont ^*  (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; QUANTUM THEORY; VECTORS;

CONVERGENCE PROPERTIES; CRITICAL EXPONENTS; QUANTUM FLUCTUATIONS; RENORMALIZATION GROUP (RG) EQUATIONS;

LINEAR EQUATIONS;

EID: 18744362145     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/17/20/019     Document Type: Article

References (55)

1. Wilson K G and Kogut J 1974 Phys. Rep. 12C 77
2. Gell-Mann M and Low F E 1954 Phys. Rev. 95 1300
3. Nickel B G, Meiron D I and Baker G A Jr 1977 Compilation of 2-pt and 4-pt graphs for continuous spin models Guelph University Preprint unpublished
4. Zinn-Justin J 2002 Euclidean Field Theory and Critical Phenomena 4th edn (Oxford: Clarendon)
5. Pelissetto A and Vicari E 2002 Phys. Rep. 368 549
6. Wilson K G 1976 Phase Transitions and Critical Phenomena vol VI ed C Domb and M S Green (New York: Academic) p 1
7. Bagnuls C and Bervillier C 1988 Phys. Rev. Lett. 60 1464
8. Delamotte B and Canet L 2004 What can be learnt from the nonperturbative renormalization group? Preprint cond-mat/0412205
9. Bagnuls C and Bervillier C 2001 Phys. Rep. 348 91
10. Wilson K G 1970 Irvine Conference unpublished
11. Berges J, Tetradis N and Wetterich C 2002 Phys. Rep. 363 223
12. Polonyi J 2003 Cent. Eur. J. Phys. 1 1
13. Wiese K J 2003 Ann. Inst. Henri Poincaré 4 473
14. Reuter M and Weyer H 2004 Phys. Rev. D 70 124028
15. Honerkamp C 2004 Functional renormalization group in the two-dimensional Hubbard model Preprint cond-mat/0411267
16. Bervillier C 2004 Phys. Lett. A 332 93
17. Bervillier C 2004 Phys. Lett. A 331 110
18. Golner G R 1986 Phys. Rev. B 33 7863
19. Bagnuls C and Bervillier C 2000 Cond. Matt. Phys. 3 559
20. Blaizot J P, Galain R M and Wschebor N 2004 Non perturbative renormalization group, momentum dependence of n-point functions and the transition temperature of the weakly interacting Bose gas Preprint cond-mat/0412481
21. Tetradis N and Wetterich C 1994 Nucl. Phys. B 422 541
22. Bohr O, Schaefer B J and Wambach J 2001 Int. J. Mod. Phys. A 16 3823
23. Ballhausen H 2003 The effective average action beyond first order Preprint hep-th/0303070
24. Ball R D, Haagensen P E, Latorre J I and Moreno E 1995 Phys. Lett. B 347 80
25. Comellas J 1998 Nucl. Phys. B 509 662
26. Kubyshin Y, Neves R and Potting R 1999 The Exact Renormalization Group ed A Krasnitz et al (Singapore: World Scientific) p 159
27. Morris T R 1994 Phys. Lett. B 329 241
28. Morris T R 1995 Phys. Lett. B 345 139
29. Aoki K I, Morikawa K, Souma W, Sumi J I and Terao H 1998 Prog. Theor. Phys. 99 451
30. Bonanno A and Zappalá D 2001 Phys. Lett. B 504 181
31. Mazza M and Zappalá D 2001 Phys. Rev. D 64 105013
32. Seide S and Wetterich C 1999 Nucl. Phys. B 562 524
33. Ballhausen H, Berges J and Wetterich C 2004 Phys. Lett. B 582 144
34. Canet L 2004 Optimization of field-dependent nonperturbative renormalization group flows Preprint hep-th/0409300
35. Canet L, Delamotte B, Mouhanna D and Vidal J 2003 Phys. Rev. B 68 064421
36. Morris T R and Turner M D 1998 Nucl. Phys. B 509 637
37. Gersdorff G V and Wetterich C 2001 Phys. Rev. B 64 054513
38. Sokolov A I 1998 Phys. Solid State 40 1169
39. Antonenko S A and Sokolov A I 1995 Phys. Rev. E 51 1894
40. Kleinert H 1999 Phys. Rev. D 60 085001
41. Canet L 2004 Processus de réaction-diffusion: une approche par le groupe de renormalisation non perturbatif Thesis
42. Bagnuls C, Bervillier C and Shpot M 2005 in progress
43. Polchinski J 1984 Nucl. Phys. B 231 269
44. Golner G R 1998 Exact renormalization group flow equations for free energies and N-point functions in uniform external fields Preprint hep-th/9801124
45. Fisher M E 1983 Critical Phenomena (Lecture Notes in Physics) ed F J W Hahne (Berlin: Springer) p 1
46. Bell T L and Wilson K G 1974 Phys. Rev. B 10 3935
47. Bell T L and Wilson K G 1975 Phys. Rev. B 11 3431
48. Litim D F 2000 Phys. Lett. B 486 92
49. Litim D F 2001 Phys. Rev. D 64 5007
50. Wegner F J 1976 Phase Transitions and Critical Phenomena vol VI ed C Domb and M S Green (New York: Academic) p 7
51. Press W H, Flannery B P, Teukolsky S A and Vetterling W T 1986 Numerical Recipes. The Art of Scientific Computing (Cambridge: Cambridge University Press)
52. Comellas J and Travesset A 1997 Nucl. Phys. B 498 539
53. Litim D F 2001 Int. J. Mod. Phys. A 16 2081
54. Litim D F 2002 Nucl. Phys. B 631 128
55. Kleinert H and Yukalov V I 2004 Self-similar variational perturbation theory for critical exponents Preprint cond-mat/0402163