Skip to main content
Log in

Four-dimensional gauge and gravity models from texture graphs

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

Abstract

We study statistical graph models leading in the continuum limit to relativistic fermionic fields coupled to gravity and gauge fields in four-dimensional space-time.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. A. Slavnov and L. D. Faddeev, Introduction to the Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1998); English transl. prev. ed.: L. D. Faddeev and A. A. Slavnov Gauge Fields: An Introduction to Quantum Theory, Addison-Wesley, Redwood City, Calif. (1991).

    Google Scholar 

  2. R. Penrose, “On the nature of quantum geometry,” in: Without Magic (J. Klauder, ed.), Freeman, San Francisco (1972), pp. 333–354.

    Google Scholar 

  3. S.-W. Kim, J. Nishimura, and A. Tsuchiya, Phys. Rev. Lett., 108, 011601 (2012); arXiv:1108.1540v3 [hep-th] (2011).

    Article  ADS  Google Scholar 

  4. M. R. Douglas, JHEP, 0305, 046 (2003); arXiv:hep-th/0303194v4 (2003).

    Article  ADS  Google Scholar 

  5. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Modern Phys., 81, 109–162 (2009); arXiv:0709.1163v2 [cond-mat.other] (2007).

    Article  ADS  Google Scholar 

  6. P. Hořava, Phys. Rev. Lett., 95, 016405 (2005).

    Article  ADS  Google Scholar 

  7. G. E. Volovik, The Universe in a Helium Droplet (Intl. Ser. Monogr. Phys., Vol. 117), Oxford Univ. Press, Oxford (2009).

    Book  Google Scholar 

  8. M. F. Atiyah, R. Bott, and A. Shapiro, Topology, 3(Suppl. 1), 3–38 (1964).

    Article  MATH  MathSciNet  Google Scholar 

  9. C. Sochichiu, J. Phys. A: Math. Theor., 46, 015002 (2013); arXiv:1112.5937v2 [hep-th] (2011).

    Article  ADS  MathSciNet  Google Scholar 

  10. C. Sochichiu, Internat. J. Mod. Phys. B, 26, 1250055 (2012); arXiv:1012.5354v2 [cond-mat.stat-mech] (2010).

    Article  ADS  MathSciNet  Google Scholar 

  11. M. A. H. Vozmediano, M. I. Katsnelson, and F. Guinea, Phys. Rep., 496, 109–148 (2010); arXiv:1003.5179v2 [cond-mat.mes-hall] (2010).

    Article  ADS  MathSciNet  Google Scholar 

  12. K. G. Wilson, Phys. Rev. B, 4, 3174–3183 (1971).

    Article  ADS  MATH  Google Scholar 

  13. H. B. Nielsen and M. Ninomiya, Nucl. Phys. B, 185, 20–40 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  14. H. Kleinert, Multivalued Fields in Condensed Matter, Electromagnetism, and Gravitation, World Scientific, Singapore (2008).

    Book  MATH  Google Scholar 

  15. A. D. Sakharov, Sov. Phys. Dokl., 12, 1040–1041 (1968).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. Sochichiu.

Additional information

Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 182, No. 1, pp. 182–192, January, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sochichiu, C. Four-dimensional gauge and gravity models from texture graphs. Theor Math Phys 182, 150–157 (2015). https://doi.org/10.1007/s11232-015-0253-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-015-0253-7

Keywords

Navigation