Critical exponents from field theory
- 1 May 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 21 (9) , 3976-3998
- https://doi.org/10.1103/physrevb.21.3976
Abstract
We present a detailed study of the methods of summation based on Borel transformation and conformal mapping, which we have used to calculate critical exponents of the -vector model through field theoretical methods. In particular we discuss the sensitivity of the results to various changes in the summation procedure.
Keywords
This publication has 70 references indexed in Scilit:
- Dynamics of polymers in dilute solutions : an explanation of anomalous indices by cross-over effectsJournal de Physique, 1979
- Diffusion and relaxation time of polymers in dilute solutionsJournal de Physique Lettres, 1978
- Polymers and scalingPhysics Reports, 1976
- Light scattering by dilute solution of polystyrene in a good solventJournal de Physique, 1976
- Decay properties and borel summability for the Schwinger functions inP(Φ)2 theoriesCommunications in Mathematical Physics, 1975
- Some Thermodynamic Properties of Polymer-Solvent Systems. Comparison between Deuterated and Undeuterated SystemsMacromolecules, 1975
- Experimental Determinations of the Excluded-Volume Exponent in Different EnvironmentsPhysical Review Letters, 1974
- The end-point distribution of self-avoiding walks on a crystal latticeJournal of Physics A: General Physics, 1971
- Spontaneous magnetization from NMR measurements and critical exponents in nickelCzechoslovak Journal of Physics, 1970
- Some Critical Properties of the Heisenberg ModelPhysical Review B, 1969