Skip to main content
SpringerLink
Log in

Renormalization group in a fermionic hierarchical model in projective coordinates

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We study the renormalization group action in a fermionic hierarchical model in the space of coefficients determining the Grassmann-valued density of the free measure. This space is interpreted as the two-dimensional projective space. The renormalization group map is a homogeneous quadratic map and has a special geometric property that allows describing invariant sets and the global dynamics in the whole space.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. D. Missarov, “Renormalization group and renormalization theory in p-adic and adelic scalar models,” in: Dynamical Systems and Statistical Mechanics (Adv. Sov. Math., Vol. 3, Ya. G. Sinai, ed.), Amer. Math. Soc., Providence, R. I. (1991), pp. 143–161.

    Google Scholar 

  2. V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov, p-Adic Analysis and Mathematical Physics, Fizmatlit, Moscow (1994); English transl. (Ser. Sov. East Eur. Math., Vol. 10), World Scientific, Singapore (1994).

    Book  Google Scholar 

  3. M. D. Missarov, Theor. Math. Phys., 118, 32–40 (1999).

    Article  MathSciNet  MATH  Google Scholar 

  4. É. Yu. Lerner and M. D. Missarov, J. Stat. Phys., 76, 805–817 (1994).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. É. Yu. Lerner and M. D. Missarov, Theor. Math. Phys., 107, 579–588 (1996).

    Article  MathSciNet  MATH  Google Scholar 

  6. M. D. Missarov, Theor. Math. Phys., 114, 255–265 (1998).

    Article  MathSciNet  MATH  Google Scholar 

  7. M. D. Missarov, Theor. Math. Phys., 117, 1483–1498 (1998).

    Article  MathSciNet  MATH  Google Scholar 

  8. M. D. Missarov, Phys. Lett. A, 253, 41–46 (1999).

    Article  ADS  Google Scholar 

  9. M. D. Missarov, “Renormalization group solution of fermionic Dyson model,” in: Asymptotic Combinatorics with Application to Mathematical Physics (NATO Sci. Ser. II: Math., Phys., Chem., Vol. 77, V. A. Malyshev and A. M. Vershik, eds.), Kluwer, Dordrecht (2002), pp. 151–166.

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kazan (Volga Region) Federal University, Kazan, Russia

    M. D. Missarov

Authors
  1. M. D. Missarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. D. Missarov.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 173, No. 3, pp. 355–362, December, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Missarov, M.D. Renormalization group in a fermionic hierarchical model in projective coordinates. Theor Math Phys 173, 1637–1643 (2012). https://doi.org/10.1007/s11232-012-0137-z

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-012-0137-z

Keywords

Search

Navigation