The Bogolyubov renormalization group

Russian Mathematical Surveys

Volumn 49, Issue 5, 1994, Pages 155-176

  Shirkov, Dmitrii V ^a  

^a JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0342776648     PISSN: 00360279     EISSN: None     Source Type: Journal    
DOI: 10.1070/RM1994v049n05ABEH002434     Document Type: Article

References (83)

1. Bogolyubov N N 1951 Dokl. Akad. Nauk SSSR81 757-760
2. Bogolyubov N N 1951 Dokl. Akad. Nauk SSSR81 1015-1018
3. Bogolyubov N N and D V Shirkov 1955 Problems in quantum field theory. I Uspekhi Fiz. Nauk55 149-214
4. Bogolyubov N N and D V Shirkov 1955 Problems in quantum field theory. II Uspekhi Fiz. Nauk57 3-92
5. Bogolyubov N N and D V Shirkov 1957 Introduction to the theory of quantized fields (Gostekhizdat, Moscow) English and French translations: see [24]
6. Bogolyubov N N and D V Shirkov 1955 On the renormalization group in quantum electrodynamics Dokl. Akad. Nauk SSSR103 203-206
7. Bogolyubov N N and D V Shirkov 1955 Application of the renormalization group to improve the formulae of perturbation theory Dokl. Akad. Nauk SSSR103 391-394
8. Bogolyubov N N and D V Shirkov 1956 Charge renormalization group in quantum field theory Nuovo Cimento3 845-6375
9. Stueckelberg E C G and J Green 1951 Helv. Phys. Acta24 153-174
10. Bogolyubov N N and O S Parasyuk 1955 Dokl. Akad. Nauk SSSR100 25-28
11. Bogolyubov N N and O S Parasyuk 1955 Dokl. Akad. Nauk SSSR100 429-432
12. Bogolyubov N N and O S Parasyuk 1957 Acta Math.97 227-2661-4
13. Stueckelberg E C G and A Petermann 1953 La normalisation des constantes dans la theorie des quanta Helv. Phys. Acta26 499-520
14. Gell-Mann M and F Low 1954 Quantum electrodynamics at small distances Phys. Rev.95 1300-13125
15. Landau L D, A A Abrikosov and I M Khalatnikov 1954 Dokl. Akad. Nauk SSSR95 497-499
16. Landau L D, A A Abrikosov and I M Khalatnikov 1954 Dokl. Akad. Nauk SSSR95 773-776
17. Landau L D, A A Abrikosov and I M Khalatnikov 1954 Dokl. Akad. Nauk SSSR95 1117-1120
18. Landau L D, A A Abrikosov and I M Khalatnikov 1954 Dokl. Akad. Nauk SSSR96 261-264
19. Landau L D, A A Abrikosov and I M Khalatnikov 1956 Nuovo Cimento3 (10) 80-104 Supplementos1
20. Shirikov D V 1955 Renormalization group with two coupling constants in the theory of pseudoscalar mesons Dokl. Akad. Nauk SSSR105 972-975
21. Ginzburg I F 1956 Dokl. Akad. Nauk SSSR110 535-538
22. Fradkin E S 1955 Zh. Eksp. Teor. Fiz.28 750-752
23. Fradkin E S 1955 Soviet Phys. JETP1 English transl.
24. Landau L D and I Y. Pomeranchuk 1955 Dokl. Akad. Nauk SSSR102 489-492
25. Landau L D 1955 On the quantum theory of fields Niels Bohr and the development of physics ed W Pauli et al (eds) (Pergamon, London) p 52-69
26. Pomeranchuk I Y. 1955 Dokl. Akad. Nauk SSSR103 1005-1008
27. Pomeranchuk I Y. 1955 Dokl. Akad. Nauk SSSR105 461-464
28. Pomeranchuk I Y. 1956 Nuovo Cimento3 (10) 1186-12036
29. Bogolyubov N N and D V Shirkov 1955 Lie type model in quantum electrodynamics Dokl. Akad. Nauk SSSR105 685-688
30. Logunov A A 1956 Zh. Eksp. Teor. Fiz.30 793-795
31. Logunov A A 1956 Soviet Phys. JETP3 English transl.
32. Ovsyannikov L V 1956 Dokl. Akad. Nauk SSSR109 1112-1115
33. Bogolyubov N N and D V Shirkov 1957, 1984 Introduction to the theory of quantized fields (Nauka, Moscow) English and French translations: see [24]
34. Bogolyubov N N and D V Shirkov 1959, 1980 Introduction to the theory of quantized fields (Wiley-Interscience, New York)
35. Bogolyubov N N and D V Shirkov 1960 Introduction à la théorie des champes quantique (Dunod, Paris)
36. Weinberg S 1973 Phys. Rev. D 8 605-6252
37. Wilson K 1969 Phys. Rev.179 1499-15155
38. Gross D and P Wilczek 1973 Phys. Rev. D 8 3633-365210
39. Politzer H 1973 Phys. Rev. Lett.30 1346-134926
40. Wilson K 1971 RG and critical phenomena Phys. Rev. B 4 3174-31839
41. Kadanoff L 1966 Physica2
42. De Gennes P G 1972 Phys. Lett.38A 339-340
43. des Cloizeaux J 1975 J. Physique (Paris)36
44. Bell T L 1978 RG approach to noncoherent radiative transfer Phys. Rev. A 17 1049-10573
45. Chapline G F 1980 Phys. Rev. A 21 1263-12714
46. DeDominicis C 1979 Phys. Rev. A 19 419-4221
47. Adamyan L, A Vasil'ev and M Gnatich 1984 Teor. Mat. Fiz.58
48. Adamyan L, A Vasil'ev and M Gnatich 1985 Teor. Mat. Fiz.65
49. Shirkov D V, D I Kozakov and A A Vladimirov (eds) 1988 Renormalization group Proc. 1986 Dubna Conf. (World Scientific, Singapore)
50. Pelletier G 1980 Plasma Phys.24
51. Chirikov B V and D L Shepelansky 1980 Chaos border and statistical anomalies 221-250
52. Dirac P A M 1934 Theorie du positron, 7-eme Conseil du Physique Solvay: Structure et propriete de noyaux atomiques, Octobre 1933 (Gauthier-Villars, Paris) p 203-230
53. Shirkov D V 1982 The renormalization group, the invariance principle, and functional self-similarity Dokl. Akad. Nauk SSSR263 64-671-3
54. Shirkov D V 1982 Soviet Phys. Dokl.27 English transl.
55. Shirkov D V 1984 Nonlinear and turbulent processes in physics vol 3 ed R Z Sagdeev (ed) (Harwood Acad. Publ. Chur) p 1637-1647
56. Shirkov D V 1987 Renormalization group in modern physics Proc. Conf. 'Renormalization group-86' ed D V Shirkov et al (eds) (Joint Institute of Nuclear Research, Dubna) p 9-33 (Russian)
57. Shirkov D V 1988 Renormalization group in modern physics A3 1321-1341 (English)
58. Shirkov D V 1992 Renormalization group in different fields of theoretical physics KEK Report 91 - 13 (English) Feb.
59. Mnatsakanyan M A 1982 Dokl. Akad. Nauk SSSR262 856-8604-6
60. Mnatsakanyan M A 1982 Soviet Phys. Dokl.27 English transl.
61. Shirkov D V 1982 Several topics on renorm-group theory 1-10
62. Shirkov D V and V B Priezzhev (eds) 1992 Renormalization group '91, Proc. of 1991 Dubna Conf. (World Scientific, Singapore)
63. Kovalev V F and V V Pustovalov 1987 Strong nonlinearity and generation of higher harmonics in nonuniform plasma Preprint No. 78 (Fiz. Inst. Akad. Nauk SSSR)
64. Kovalev V F and V V Pustovalov 1989 Functional self-similarity in a problem in the theory of plasma with electron nonlinearity Teor. Mat. Fiz.81 69-851
65. Goldenfeld N, O Martin and Y Oono 1990 Intermediate asymptotics and renormalization group theory J. Sci. Comput. (USA)4 355-3724
66. Kovalev V F, S V Krivenko and V V Pustovalov 1990 The RG method based on group analysis
67. Ovsyannikov L V 1978 Group analysis of differential equations (Nauka, Moscow) (Russian)
68. Ibragimov N Kh 1983 Transformation group in mathematical physics (Nauka, Moscow)
69. Ibragimov N Kh 1985 Transformation groups applied to mathematical physics (Reidel, Dordrecht - Lancaster) English transl.
70. Sophus Lie 1924 Gesammelte Abhandlungen vol Bd. 5 (Leipzig-Oslo)
71. Sophus Lie 1927 Gesammelte Abhandlungen vol Bd. 6 (Leipzig-Oslo)
72. Kovalev V F, S V Krivenko and V V Pustovalov 1994 Lie symmetry and group for the solution of a boundary-value problem Differentsial'nye Uravneniya30 10
73. Ambartsumyan V A 1942 Astron. Zh.19 (5) 30-415
74. Ambartsumyan V A 1943 Dokl. Akad. Nauk SSSR38 229-232
75. Ambartsumyan V A 1943 Izv. Akad. Nauk Arm. SSR Estestv. Nauki (No. 1-2)No. 1-2
76. Grigor'ev Y. N and S V Meleshko 1987 Group analysis of the integro-differential Boltzmann equation Dokl. Akad. Nauk SSSR297 323-3271-3
77. Grigor'ev Y. N and S V Meleshko 1987 Soviet Phys. Dokl.32 English transl.
78. Fushchich V I, V M Shtelen' and N I Serov 1989 Symmetry analysis and exact solutions of nonlinear equations in mathematical physics (Naukova Dumka, Kiev) (Russian)
79. Fushchich V I, V M Shtelen' and N I Serov 1993 Group analysis of Vlasov's kinetic equation Differentsial'nye Uravneniya29 1804-1817
80. Fushchich V I, V M Shtelen' and N I Serov 1993 Differentsial'nye Uravneniya29 1971-1983
81. Fushchich V I, V M Shtelen' and N I Serov 1993 Differ. Equ.29 English transl.
82. Kovalev V F, S V Krivenko and V V Pustovalov 1994 Lie algebra of renormalization group admitted initial-value problem for Burgers equation Lie groups and their applications (Istanbul) 1 no. 22
83. Pustovalov V V and A K Shvarev 1994 Group and renormalization group analysis of the equations of nonlinear geometrical optics. 1. Lie symmetries Preprint (Institute of Physics of the Russian Acad. Sci.) No. 15