Abstract
In this chapter, we give different representations of the charged particle propagators in an external active environment that will be needed for the analysis of quantum processes. The transformation from one representation to another are provided which can be useful from a methodological point of view. The exact propagator for an electron in a constant uniform magnetic field as the sum over Landau levels is obtained by the direct derivation by standard methods of quantum field theory from exact solutions of the Dirac equation in the magnetic field.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J. Schwinger, Phys. Rev. 82, 664 (1951)
V.A. Fock, Phyzik. Z. Sowjetunion 12, 404 (1937)
C. Itzykson, J.-B. Zuber, Quantum Field Theory (McGraw-Hill, New York, 1985)
V.V. Skobelev, Izv. Vyssh. Uchebn. Zaved. Fiz. No. 10, 142 (1975)
Yu.M. Loskutov, V.V. Skobelev, Phys. Lett. A 56, 151 (1976)
A. Chodos, K. Everding, D.A. Owen, Phys. Rev. D 42, 2881 (1990)
T.-K. Chyi, C.-W. Hwang, W.F. Kao, G.-L. Lin, K.-W. Ng, J.-J. Tseng, Phys. Rev. D 62, 105014 (2000)
E. Elizalde, E.J. Ferrer, V. de la Incera, Ann. Phys. 295, 33 (2002)
E. Elizalde, E.J. Ferrer, V. de la Incera, Phys. Rev. D 70, 043012 (2004)
A.V. Kuznetsov, N.V. Mikheev, G.G. Raffelt, L.A. Vassilevskaya, Phys. Rev. D 73, 023001 (2006)
A. Erdas, M. Lissia, Phys. Rev. D 67, 033001 (2003)
K. Bhattacharya, S. Sahu, Eur. Phys. J. C 62, 481 (2009)
A.V. Kuznetsov, N.V. Mikheev, A.V. Serghienko, Phys. Lett. B 690, 386 (2010)
A. Erdas, C. Isola, Phys. Lett. B 494, 262 (2000)
A. Erdas, G. Feldman, Nucl. Phys. B 343, 597 (1990)
V.P. Gusynin, A.V. Smilga, Phys. Lett. B 450, 267 (1999)
V.V. Skalozub, Yad. Fiz. 45, 1708 (1987). [Sov. J. Nucl. Phys. 45, 1058 (1987)]
A.V. Kuznetsov, A.A. Okrugin, Int. J. Mod. Phys. A 26, 2725 (2011)
A.P. Prudnikov, Yu.A. Brychkov, O.I. Marichev, Integrals and Series: Special Fuctions (Gordon-Breach, New York, 1990)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kuznetsov, A., Mikheev, N. (2013). Propagators of Charged Particles in External Active Media. In: Electroweak Processes in External Active Media. Springer Tracts in Modern Physics, vol 252. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36226-2_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-36226-2_3
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-36225-5
Online ISBN: 978-3-642-36226-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)