Abstract
We enumerate the advantages of using the stochastic quantization method over the standard methods and as an example use it to quantize para-Fermi fields obeying trilinear quantum conditions. Finally chiral anomaly for spinor fields is obtained directly from thec-number Langevin equation which forms the basis of the stochastic approach for field quantization.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Parisi and Y. S. Wu, Sci. Sin.24, 483, 1981.
Stochastic Quantization, by P. H. Damgaard and H. Huffel, Phys. Rep.,152C, 228, 1987. In addition to reviewing the basic concepts of the stochastic approach, this review also contains a broad selection of preprints on its applications to gauge fields, largeN field theories, lattice gauge theories, gravity, quantization of fermions, etc.
M. Namiki, I. Ohba, K. Okano and Y. Yamanaka, Prog. Theor. Phys.,69, 1580, 1983; E. Gozzi, Phys. Rev.,D31, 1349, 1985.
D. Zwanziger, Nucl. Phys.,B192, 259, 1981; L. Baulieu and D. Zwanziger, Nucl. Phys.,B193, 163, 1981; H. Nakagoshi, M. Namiki, I. Ohba and K. Okano, Prog. Theor. Phys.,70, 326, 1983; E. Floratos, J. Iliopoulos and D. Zwanziger, Nucl. Phys.,B241, 221, 1984.
G. Parisi, Nucl. Phys.,B180, 378, 1984. G. Parisi, in: “Progress in Gauge Field Theory”, eds. G.'t Hooft et al, Plenum Press, New York, 1984.
B. Sakita, in 7th John Hopkins Workshop, eds. G. Domokos and S. Kovesi-Domokos, World Scientific, Singapore, 1983.
J. Alfaro and M. B. Gavela, Phys. Lett.,158B, 473, 1985.
M. B. Gavela and N. Parga, Phys. Lett.,B174, 319, 1986. For more references see Ref [11].
H. S. Green, Phys. Rev.,90, 270, 1953.
S. Kamefuchi and Y. Ohnuki, Quantum Field Theory and Parastatistics, Univ. of Tokyo Press, Springer Verlag, Tokyo, 1982.
J. Balakrishnan, S. N. Biswas, A. Goyal and S. K. Soni, to be published in the Journal of Mathematical Physics.
J. Balakrishnan, S. N. Biswas, A. Goyal and S. K. Soni, Phys. Rev.,D37, 571, 1988.
M. Namiki, I. Ohba, S. Tanaka and D. Yanga, Phys. Lett.,B194, 530, 1987.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Balakrishnan, J., Biswas, S.N., Goyal, A. et al. Applications of the stochastic quantization method. Acta Physica Hungarica 67, 381–386 (1990). https://doi.org/10.1007/BF03155819
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF03155819