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Applications of the stochastic quantization method

  • Elementary Particles and Fields
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Acta Physica Hungarica

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.

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References

  1. G. Parisi and Y. S. Wu, Sci. Sin.24, 483, 1981.

    MathSciNet  Google Scholar 

  2. 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.

    ADS  MathSciNet  Google Scholar 

  3. M. Namiki, I. Ohba, K. Okano and Y. Yamanaka, Prog. Theor. Phys.,69, 1580, 1983; E. Gozzi, Phys. Rev.,D31, 1349, 1985.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. 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.

    Article  ADS  MathSciNet  Google Scholar 

  5. 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.

    Article  ADS  MathSciNet  Google Scholar 

  6. B. Sakita, in 7th John Hopkins Workshop, eds. G. Domokos and S. Kovesi-Domokos, World Scientific, Singapore, 1983.

    Google Scholar 

  7. J. Alfaro and M. B. Gavela, Phys. Lett.,158B, 473, 1985.

    ADS  MathSciNet  Google Scholar 

  8. M. B. Gavela and N. Parga, Phys. Lett.,B174, 319, 1986. For more references see Ref [11].

    MathSciNet  Google Scholar 

  9. H. S. Green, Phys. Rev.,90, 270, 1953.

    Article  MATH  ADS  Google Scholar 

  10. S. Kamefuchi and Y. Ohnuki, Quantum Field Theory and Parastatistics, Univ. of Tokyo Press, Springer Verlag, Tokyo, 1982.

    MATH  Google Scholar 

  11. J. Balakrishnan, S. N. Biswas, A. Goyal and S. K. Soni, to be published in the Journal of Mathematical Physics.

  12. J. Balakrishnan, S. N. Biswas, A. Goyal and S. K. Soni, Phys. Rev.,D37, 571, 1988.

    Article  ADS  MathSciNet  Google Scholar 

  13. M. Namiki, I. Ohba, S. Tanaka and D. Yanga, Phys. Lett.,B194, 530, 1987.

    MathSciNet  Google Scholar 

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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

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