Artículo
Abstract:
In this work we calculate the closed time path generating functional for the electromagnetic (EM) field interacting with inhomogeneous anisotropic matter. For this purpose, we first find a general expression for the electromagnetic field’s influence action from the interaction of the field with a composite environment consisting in the quantum polarization degrees of freedom in each point of space, at arbitrary temperatures, connected to thermal baths. Then we evaluate the generating functional for the gauge field, in the temporal gauge, by implementing the Faddeev–Popov procedure. Finally, through the point-splitting technique, we calculate closed expressions for the energy, the Poynting vector, and the Maxwell tensor in terms of the Hadamard propagator. We show that all the quantities have contributions from the field’s initial conditions and also from the matter degrees of freedom. Throughout the whole work we discuss how the gauge invariance must be treated in the formalism when the EM-field is interacting with inhomogeneous anisotropic matter. We study the electrodynamics in the temporal gauge, obtaining the EM-field’s equation and a residual condition. Finally we analyze the case of the EM-field in bulk material and also discuss several general implications of our results in relation with the Casimir physics in a non-equilibrium scenario. © 2015, The Author(s).
Registro:
| Documento: | Artículo |
| Título: | Quantum electrodynamics of inhomogeneous anisotropic media |
| Autor: | López, A.E.R.; Lombardo, F.C. |
| Filiación: | Departamento de Física Juan José Giambiagi, FCEyN UBA and IFIBA CONICET-UBA, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina |
| Año: | 2015 |
| Volumen: | 75 |
| Número: | 2 |
| DOI: | http://dx.doi.org/10.1140/epjc/s10052-015-3308-x |
| Título revista: | European Physical Journal C |
| Título revista abreviado: | Eur. Phys. J. C |
| ISSN: | 14346044 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346044_v75_n2_p_Lopez |
Referencias:
- Lifshitz, E.M., (1956) Sov. Phys. JETP, 2, p. 73
- Barton, G., (2010) N. J. Phys., 12, p. 113045
- Philbin, T.G., (2010) N. J. Phys., 12 (2010), p. 123008
- Rosa, F.S.S., Dalvit, D.A.R., Milonni, P.W., (2010) Phys. Rev. A, 81, p. 033812
- Breuer, H.-P., Petruccione, F., (2006) The Theory of Open Quantum Systems (Oxford University Press, , Clarendon Press, Oxford:
- Buhmann, S.Y., Welsch, D.G., (2007) Prog. Quant. Electron., 31, p. 51
- Huttner, B., Barnett, S.M., (1992) Phys. Rev. A, 46, p. 4306
- Lombardo, F.C., Mazzitelli, F.D., Rubio Lopez, A.E., (2011) Phys. Rev. A, 84 (52517)
- Kupiszewska, D., (1992) Phys. Rev. A, 46, p. 2286
- Rubio Lopez, A.E., (2014), p. 89; Schwinger, J.S., (1961) J. Math. Phys., 2, p. 407
- Keldysh, L.V., Eksp, Z., (1964) Teor. Fiz., 47, p. 1515
- Keldysh, L.V., (1965) Sov. Phys. JETP, 20, p. 1018
- Fradkin, E.S., Gitman, D.M., Schwartsman, S.M., (1991) Quantum Electrodynamics with Unstable Vacuum, , Springer, Berlin:
- F.C. Lombardo, F.D. Mazzitelli, A.E. Rubio López, G.J. Turiaci, Casimir Pressure Between Parallel Plates in a Fully Non-Equilibrium Situation (2014, work in preparation); Fradkin, E.S., Gitman, D.M., (1981) Fortschr. Phys., 29, p. 381
- Calzetta, E.A., Hu, B.L., (2008) Nonequilibrium Quantum Field Theory, , Cambridge University Press, Cambridge:
- Calzetta, E.A., Roura, A., Verdaguer, E., (2003) Physica, 319A, pp. 188-212
- Birrell, N.D., Davies, P.C.W., (1994) Quantum Fields in Curved Space, , Cambridge University Press, New York:
- Mrówczyński, S., Müller, B., (1994) Phys. Rev. D, 50 (12), pp. 7542-7552
- Greiner, W., Reinhardt, J., (1996) Field Quantization, , Springer, Berlin:
- Ramond, P., Theory, F., A Modern Primer (Westview Press (1990) Boulder
- Jackson, J.D., (1975) Classical Electrodynamics, , Wiley, New York:
- Pauli, W., (1958) Theory of Relativity, , Pergamon Press, Bristol:
- Behunin, R.O., Hu, B.L., (2011) Phys. Rev. A, 84, p. 012902
- Eberlein, C., Robaschik, D., (2006) Phys. Rev. D, 73, p. 025009
- Knöll, L., Leonhardt, U., (1992) J. Mod. Opt., 39 (6), pp. 1253-1264
- Bechler, A., (1999) J. Mod. Opt., 46 (5), pp. 901-921
Citas:
---------- APA ----------
López, A.E.R. & Lombardo, F.C. (2015) . Quantum electrodynamics of inhomogeneous anisotropic media. European Physical Journal C, 75(2).http://dx.doi.org/10.1140/epjc/s10052-015-3308-x
---------- CHICAGO ----------
López, A.E.R., Lombardo, F.C. "Quantum electrodynamics of inhomogeneous anisotropic media" . European Physical Journal C 75, no. 2 (2015).http://dx.doi.org/10.1140/epjc/s10052-015-3308-x
---------- MLA ----------
López, A.E.R., Lombardo, F.C. "Quantum electrodynamics of inhomogeneous anisotropic media" . European Physical Journal C, vol. 75, no. 2, 2015.http://dx.doi.org/10.1140/epjc/s10052-015-3308-x
---------- VANCOUVER ----------
López, A.E.R., Lombardo, F.C. Quantum electrodynamics of inhomogeneous anisotropic media. Eur. Phys. J. C. 2015;75(2).http://dx.doi.org/10.1140/epjc/s10052-015-3308-x
