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Path integrals in polar field variables in QFT

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Abstract

We show how to transform a d-dimensional Euclidean path integral in terms of two (Cartesian) fields to a path integral in terms of polar field variables. First we present a conjecture that states how this transformation should be done. Then we show that this conjecture is correct in the case of two toy models. Finally the conjecture will be proven for a general QFT model with two fields.

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References

  1. R.P. Feynman, Rev. Mod. Phys. 20, 367 (1948)

    Article  ADS  MathSciNet  Google Scholar 

  2. S.F. Edwards, Y.V. Gulyaev, Proc. R. Soc. A 279, 229 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  3. D. Peak, A. Inomata, J. Math. Phys. 10, 1422 (1969)

    Article  ADS  MathSciNet  Google Scholar 

  4. T.D. Lee, Particle Physics and Introduction to Field Theory (Harwood Academic, Reading, 1981)

    Google Scholar 

  5. M. Böhm, G. Junker, J. Math. Phys. 28, 1978 (1987)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. C.C. Gerry, V.A. Singh, Phys. Rev. D 21, 2979 (1980)

    ADS  MathSciNet  Google Scholar 

  7. C. Grosche, F. Steiner, Z. Phys. C 36, 699 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  8. H. Kleinert, Phys. Lett. B 224, 313 (1989)

    ADS  MathSciNet  Google Scholar 

  9. C. Grosche, F. Steiner, Handbook of Feynman Path Integrals (Springer, Berlin, 1998)

    MATH  Google Scholar 

  10. M.T.M. van Kessel, arXiv:0810.1412 [hep-ph] (Ph.D. thesis) (2008)

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Authors and Affiliations

  1. Institute of Nuclear Physics, NCSR Demokritos, Athens, Greece

    E. N. Argyres & C. G. Papadopoulos

  2. IMAPP, FNWI, Radboud Universiteit Nijmegen, Nijmegen, The Netherlands

    M. T. M. van Kessel & R. H. P. Kleiss

Authors
  1. E. N. Argyres
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  2. C. G. Papadopoulos
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  3. M. T. M. van Kessel
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  4. R. H. P. Kleiss
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Corresponding author

Correspondence to M. T. M. van Kessel.

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Argyres, E.N., Papadopoulos, C.G., van Kessel, M.T.M. et al. Path integrals in polar field variables in QFT. Eur. Phys. J. C 61, 495–518 (2009). https://doi.org/10.1140/epjc/s10052-009-0998-y

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  • DOI: https://doi.org/10.1140/epjc/s10052-009-0998-y

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