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On perturbation theory for regularized determinants of differential operators

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A perturbation theory for determinants of differential operators regularized through the ζ-function technique is presented. The application of this approach to the study of chiral changes in the fermionic path-integral variables is discussed.

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References

  1. Hawking, S.W.: Zeta function regularization of path integrals in curved spacetime. Commun. Math. Phys.55, 133–148 (1977)

    Google Scholar 

  2. Seeley, R.T.: Am. Math. Soc. Proc. Symp. Pure Math.10, 288–307 (1967)

    Google Scholar 

  3. Fujikawa, K.: Path-integral measure for gauge-invariant fermion fields. Phys. Rev. Lett.42. 1195 (1979); Path integral for gauge theories with fermions. Phys. Rev. D21, 2848 (1980)

    Google Scholar 

  4. Adler, S.: Axial-vector vertex in spinor electrodynamics. Phys. Rev.177, 2426 (1969)

    Google Scholar 

  5. Bell, J., Jackiw, R.: A PCAC puzzle: π0 → γγ in the σ-model. Nuovo Cimento60A, 47 (1969)

    Google Scholar 

  6. Andrianov, A., Bonora, L., Gamboa-Saraví, R.: Phys. Rev. D26, 2821 (1982).

    Google Scholar 

  7. Nash, C.: The theory and practice of zeta functions. TCD-1979-2

  8. Berezin, F.: The method of second quantization. New York: Academic Press 1969

    Google Scholar 

  9. Atiyah, M., Bott, R., Patodi, V.K.: Invent. Math.19, 279–330 (1973)

    Google Scholar 

  10. Muschietti, M.A.: Tesis, Universidad Nacional de La Plata (1983)

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Communicated by H. Araki

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Gamboa-Saraví, R.E., Muschietti, M.A. & Solomin, J.E. On perturbation theory for regularized determinants of differential operators. Commun.Math. Phys. 89, 363–373 (1983). https://doi.org/10.1007/BF01214660

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  • DOI: https://doi.org/10.1007/BF01214660

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