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 TMF, 1977, Volume 32, Number 2, Pages 176–186 (Mi tmf3148)

Relativistic string in a constant homogeneous electromagnetic field

B. M. Barbashov, A. L. Koshkarov, V. V. Nesterenko

Abstract: The Lagrangian and Hamiltonian formalisms are constructed for the massless relativistic string in constant homogeneous electromagnetic field in a special gauge dependent on the field. Solutions to the equations of motion and the mass spectrum of the string are found. It is shown that the presence of the electric field increases the gap between the equidistant levels of the squared mass operator, as compared with the free string case. The quantum description of the string in electromagnetic field is considered and the problem of the relativistic invariance of quantum theory is discussed. The method based on the checking of the Poincare algebra turns out to be inapplicable in the presence of the external field, because in this case the Lorentz rotation operators become time-dependent.

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English version:
Theoretical and Mathematical Physics, 1977, 32:2, 672–680

Citation: B. M. Barbashov, A. L. Koshkarov, V. V. Nesterenko, “Relativistic string in a constant homogeneous electromagnetic field”, TMF, 32:2 (1977), 176–186; Theoret. and Math. Phys., 32:2 (1977), 672–680

Citation in format AMSBIB
\Bibitem{BarKosNes77} \by B.~M.~Barbashov, A.~L.~Koshkarov, V.~V.~Nesterenko \paper Relativistic string in a constant homogeneous electromagnetic field \jour TMF \yr 1977 \vol 32 \issue 2 \pages 176--186 \mathnet{http://mi.mathnet.ru/tmf3148} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 32 \issue 2 \pages 672--680 \crossref{https://doi.org/10.1007/BF01036330} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. B. M. Barbashov, V. V. Nesterenko, A. M. Chervyakov, “Covariant formalism for a relativistic string in a constant homogeneous electromagnetic field”, Theoret. and Math. Phys., 32:3 (1977), 778–783
2. A. A. Logunov, V. N. Folomeshkin, “Does the energy of the source change when gravitational waves are emitted in Einstein's theory of gravitation?”, Theoret. and Math. Phys., 33:2 (1977), 952–959
3. B. M. Barbashov, A. P. Koshkarov, “Open string in background non-Abelian field”, Theoret. and Math. Phys., 85:2 (1990), 1134–1139
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