Abstract
The Ising model is studied in the fermionicformulation of the stochastic quantization. An exactstochastic equation is given for D = 2 and 3 and in aHartree approximation a method is developed for treating the two-point correlation functions.
Similar content being viewed by others
REFERENCES
G. Parisi and Y. S. Wu, Sci. Sinica 24 (1981) 483.
F. A. Berezin, The Method of Second Quantization, Academic Press, New York (1966).
V. N. Popov, Functional Integral in Quantum Theory and Statistical Physics, Reidel, Dordrecht (1983).
S. Samuel, J. Math. Phys. 21 (1980) 2806.
C. Itzykson and J.M. Drouffe, Théorie statistique des champs, Inter Edition du CNRS (1989).
J. N. Negele and H. Orland, Quantum Many Particles Systems, Addison-Wesley, Reading, Massachusetts (1988).
P. H. Damgaard and H. Huffel, Phys. Rep. 152 (1987) 227.
Y. Grandati, A. Bérard, and P. Grangé, Phys. Lett. B 304 (1993) 298.
A. Bérard and Y. Grandati, Int. J. Theor. Phys. 38 (1999) 623-639.
Rights and permissions
About this article
Cite this article
Berard, A., Grandati, Y. Stochastic Quantization Approach for the Ising Model. International Journal of Theoretical Physics 38, 2535–2548 (1999). https://doi.org/10.1023/A:1026653125392
Issue Date:
DOI: https://doi.org/10.1023/A:1026653125392