Abstract
If one looks back at the recent developments in the theory of critical phenomena, the Kondo problem and gauge theories, one notices that the same word “renormalization group” appears in connection with approaches which at first sight look very different. In view of the subsequent discussion, it is expedient to introduce some preliminary classification of the various trends.
The content of this report was presented in a seminar by A.L. Stella.
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References
Di Castro C., Jona-Lasinio G., Peliti L.: Ann. of Phys. 81, 327 (1974). Di Castro C., Jona-Lasinio G.: “Phase Transitions and Critical Phenomena”, Vol. 6, edited by C. Domb and M.S. Green-Academic Press London, New York 1976.
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Wilson K.G., Kogut J.: Phys. Rep. 12C, 76 (1974). This and the two previous articles contain a wide list of references. One may also consult the lucid review by Ma S.K., Rev. Mod. Phys. 45, 589 (1973).
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Jona-Lasinio G.: Proc. Nobel Symp. 24, 38 Academic Press (N.Y.) 1973.
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An object satisfying a condition like (3.2) is known in the mathematical literature as a multiplicative cocycle. See for example Oseledec V.I., Trans. Moscow Math. Soc. 19, 197 (1968).
Wegner F.J.: Phys. Rev. B5, 4529 (1972).
Wilson K.G.: Phys. Rev. D7, 2911 (1973).
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© 1977 Plenum Press, New York
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Benettin, G., Di Castro, C., Jona-Lasinio, G., Peliti, L., Stella, A.L. (1977). On the Equivalence of Different Renormalization Groups. In: Lévy, M., Mitter, P. (eds) New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976. Nato Advanced Study Institutes Series, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8918-1_21
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DOI: https://doi.org/10.1007/978-1-4615-8918-1_21
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