Skip to main content
Log in

Symanzik Approach in Modeling the Interaction of Quantum Fields with Extended Objects: Scattering of Dirac Particles on Material Plane

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

The model is constructed within the framework of the Symanzik approach to describe the interaction of fields of quantum electrodynamics with extended objects. The scattering of a Dirac particle on a homogeneous and isotropic material plane is studied. Results are obtained and presented for transmission and reflection amplitudes of a plane wave, for a given polarization, energy, and momentum, as functions of the model parameters. The transmission and reflection coefficients are given for particles motion in the orthogonal to the plane direction.

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. V. N. Markov and Yu. M. Pis’mak, J. Phys. A: Math. Gen. 39, 6525 (2006); arXiv: hep-th/0505218v3 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  2. K. Symanzik, Nucl. Phys. B 190, 1 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  3. V. N. Marachevsky and Yu. M. Pis’mak, Phys. Rev. D: Part. Fields 81, 065005 (2010), arXiv:0907.1985v2 [hep-th] (2009).

  4. D. Yu. Pis’mak and Yu. M. Pis’mak, Theor. Math. Phys. 175, 816 (2013), Phys. Part. Nucl. 44, 450 (2013), Theor. Math. Phys. 166, 1423 (2011).

    Article  Google Scholar 

  5. D. Yu. Pis’mak, Yu. M. Pis’mak, and F. J. Wegner, Phys. Rev. E 92, 013204 (2015), arXiv:1406.1598v1 [hep-th] (2014).

  6. I. V. Fialkovsky, V. N. Markov, and Yu. M. Pis’mak, J. Phys. A: Math. Gen. 39, 6357 (2006), Int. J. Mod. Phys. A 21, 2601 (2006), arXiv:hep-th/0311236v2 (2003).

    Article  ADS  MathSciNet  Google Scholar 

  7. D. Yu. Pismak and Yu. M. Pismak, Theor. Math. Phys. 184, 1329 (2015).

    Article  MathSciNet  Google Scholar 

  8. Yu. M. Pismak and D. Yu. Shukhobodskaia, EPJ Web of Conf. 125, 05022 (2016), EPJ Web of Conf. 126, 05012 (2016), EPJ Web of Conf. 158, 07005 (2017).

  9. Yu. M. Pismak, Phys. Part. Nucl. Lett. 15, 380 (2018).

    Article  Google Scholar 

Download references

Funding

Yu. P. is grateful to Russian Foundation for Basic Research for financial support in frameworks of grant no. 19-02-00983-a.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu. M. Pismak.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pismak, Y.M., Shakhova, O.Y. Symanzik Approach in Modeling the Interaction of Quantum Fields with Extended Objects: Scattering of Dirac Particles on Material Plane. Phys. Part. Nuclei Lett. 16, 441–444 (2019). https://doi.org/10.1134/S1547477119050248

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477119050248

Keywords:

Navigation