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An interpretation of renormalization prescription ambiguities in path integral formulation

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Zeitschrift für Physik C Particles and Fields

Abstract

We discuss the renormalization of bilinear composite operators in a Fujikawa path integral framework at one loop level in the setting of a Yukawa-type theory. We show that all ambiguities in their renormalization can be understood within the context of path integral approach as arising from the arbitrariness in the choice of basis for the definition of path integral. We conjecture that the renormalization ambiguities may have a deeper origin and significance than one normally associated with.

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References

  1. See, for example, T.P. Cheng, L.F. Li: Gauge theory of elementary particle physics. Oxford: Clarendon Press 1984

    Google Scholar 

  2. J. Bjorken, S.D. Drell: Relativistic quantum fields. New York: McGraw-Hill 1965

    Google Scholar 

  3. N.N. Bogoliubov, D.V. Shirkov: Introduction to the theory of quantized fields. New York: Wiley Interscience 1959

    Google Scholar 

  4. K. Fujikawa: Phys. Rev. D 21 (1980) 2848

    Google Scholar 

  5. See, for example, K. Shizuya, H. Tsukahara: Z. Phys. C 31 (1986) 553

    Google Scholar 

  6. See, for example, K. Fujikawa: Phys. Rev. D 31 (1985) 341

    Google Scholar 

  7. A. Das, V. Mathur: Phys. Rev. D 33 (1986) 489

    Google Scholar 

  8. J. Alfaro, L.F. Urrutia, J.D. Vergara: Phys. Lett. B202 (1987) 121; L.F. Urrutia, J.D. Vergara: Phys. Rev. D 45 (1992) 1365

    Google Scholar 

  9. S.D. Joglekar, G. Saini: Phys. Rev. D 43 (1991) 1346, 1355; ibid S.D. Joglekar, G. Saini: Phys. Rev. D 45 (1992) 3818; G. Saini S.D. Joglekar: ibid Phys. Rev. D 46 (1992) 786

    Google Scholar 

  10. S.D. Joglekar, G. Saini: Ann. Phys. (N.Y.) (1993) to appear

  11. S.D. Joglekar, A. Mishra: Phys. Rev. D 36 (1987) 642; Pramana, 29 (1987) 127

    Google Scholar 

  12. See, for example, S.D. Joglekar, B.W. Lee: Ann. Phys. (NY) 96 (1976) 160

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology, Kanpur, 208016, Kanpur, India

    Satish D. Joglekar & Gaitri Saini

Authors
  1. Satish D. Joglekar
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  2. Gaitri Saini
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Joglekar, S.D., Saini, G. An interpretation of renormalization prescription ambiguities in path integral formulation. Z. Phys. C - Particles and Fields 59, 489–493 (1993). https://doi.org/10.1007/BF01498630

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  • DOI: https://doi.org/10.1007/BF01498630

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