Abstract
A general discussion of scaling fields and scaling variables in the dynamic renormalization group is given using path probability formalism. It is shown that scaling variables are the derivatives of the action with respect to scaling fields. The general ideas are illustrated on the multicomponent relaxational model in the large-n limit, where scaling fields and scaling variables are calculated explicitly and flow lines, crossover and universality are discussed. Critical points of higher order are also included in the investigation.
Similar content being viewed by others
References
Wegner, F.J.: Phys. Rev. B5, 4529 (1972)
Wegner, F.J.: In: Phase transitions and critical phenomena. Domb, C., Green, M.S. (eds.), Vol. 6, pp. 1–124, London, New York, San Francisco: Academic Press 1976
Ma, S.: Phys. Rev. A10, 1818 (1974)
Riedel, E.K., Wegner, F.J.: Phys. Rev. B9, 294 (1974
Stanley, H.E.: Phys. Rev.176, 718 (1968)
Ma, S.: Rev. Mod. Phys.45, 589 (1973)
Ma, S.: J. Math. Phys.15, 1866 (1974)
Ma, S.: In: Phase transitions and critical phenomena. Domb, C., Green, M.S. (eds.), Vol. 6, pp. 249–292, London, New York, San Francisco: Academic Press 1976
Zannetti, M., Di Castro, C.: J. Phys. A10, 1175 (1977)
Zannetti, M.: J. Phys. C11, L755 (1978)
Szépfalusy, P., Tél, T.: J. Phys. A12, 2141 (1979)
Szépfalusy, P., Tél, T.: Z. Physik B36, 343 (1980)
Graham, R.: Springer Tracts Modern Physics. Vol. 66, Berlin, Heidelberg, New York: Springer 1973
De Dominicis, C.: J. Physique C1, 247 (1976)
Janssen, H.K.: Z. Physik B23, 377 (1976)
Bausch, R., Janssen, H.K., Wagner, H.: Z. Physik B24, 113 (1976)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Szépfalusy, P., Tél, T. Renormalization group analysis of relaxational dynamics in systems with many-component order-parameter II. Z. Physik B - Condensed Matter 39, 249–260 (1980). https://doi.org/10.1007/BF01292670
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01292670