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Asymptotic Behavior of Higher-Order Perturbations: Scaling Functions of the O(n)-Symmetric φ4-Theory in the (4−ε)-Expansion

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Abstract

We use an instantonic approach to calculate the asymptotic behavior of higher orders of the (4−ε)-expansion for the scaling function of the pair correlator of the O(n)-symmetric φ4-theory in the minimal subtraction scheme. Our results differ substantially from the known exact expression for the ε3 order of the expansion of the scaling function in the small-τ domain.

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REFERENCES

  1. L. N. Lipatov, JETP, 45, 216 (1977).

    Google Scholar 

  2. E. Brezin, J. C. Le Guillou, and J. Zinn-Justin, Phys. Rev. D, 15, 1544 (1977).

    Google Scholar 

  3. M. V. Komarova and M. Yu. Nalimov, Theor. Math. Phys., 126, 339 (2001).

    Google Scholar 

  4. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, Oxford Univ. Press, Oxford (1989).

    Google Scholar 

  5. A. N. Vasil'ev, Quantum Field Renormalization Group in Critical Behavior Theory and in Stochastic Dynamics [in Russian], St. Petersburg Institute for Nuclear Physics (PIYaF), St. Petersburg (1998).

    Google Scholar 

  6. M. Campostrini, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. E, 57, 184 (1998).

    Google Scholar 

  7. I. M. Suslov, JETP, 84, 120 (1997).

    Google Scholar 

  8. I. M. Suslov, JETP, 84, 1036 (1997).

    Google Scholar 

  9. V. G. Makhankov, Phys. Lett. A, 61, 431 (1977).

    Google Scholar 

  10. A. J. Bray, Phys. Rev. B, 14, 1248 (1976).

    Google Scholar 

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    M. V. Komarova & M. Yu. Nalimov

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  1. M. V. Komarova
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  2. M. Yu. Nalimov
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Komarova, M.V., Nalimov, M.Y. Asymptotic Behavior of Higher-Order Perturbations: Scaling Functions of the O(n)-Symmetric φ4-Theory in the (4−ε)-Expansion. Theoretical and Mathematical Physics 129, 1631–1644 (2001). https://doi.org/10.1023/A:1013007232713

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  • DOI: https://doi.org/10.1023/A:1013007232713

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