Geodesic
Polarization of the Electron-Positron Vacuum by a Strong Magnetic Field in the Theory with a Fundamental Mass
Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 517-528 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the framework of the theory with a fundamental mass in the one-loop approximation, we evaluate the exact Lagrange function of the strong constant magnetic field, replacing the Heisenberg–Euler Lagrangian in the traditional QED. We establish that the derived generalization of the Lagrange function is real for arbitrary values of the magnetic field. In the weak field, the evaluated Lagrangian coincides with the known Heisenberg–Euler formula. In extremely strong fields, the field dependence of the Lagrangian completely disappears; in this range, the Lagrangian tends to the limit value determined by the ratio of the fundamental and lepton masses.
Keywords: fundamental mass, vacuum polarization, strong fields. 
@article{TMF_2003_136_3_a11,
     author = {V. G. Kadyshevskii and V. N. Rodionov},
     title = {Polarization of the {Electron-Positron} {Vacuum} by a {Strong} {Magnetic} {Field} in the {Theory} with a {Fundamental} {Mass}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {517--528},
     year = {2003},
     volume = {136},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a11/}
}
TY  - JOUR
AU  - V. G. Kadyshevskii
AU  - V. N. Rodionov
TI  - Polarization of the Electron-Positron Vacuum by a Strong Magnetic Field in the Theory with a Fundamental Mass
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2003
SP  - 517
EP  - 528
VL  - 136
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a11/
LA  - ru
ID  - TMF_2003_136_3_a11
ER  - 
%0 Journal Article
%A V. G. Kadyshevskii
%A V. N. Rodionov
%T Polarization of the Electron-Positron Vacuum by a Strong Magnetic Field in the Theory with a Fundamental Mass
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2003
%P 517-528
%V 136
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a11/
%G ru
%F TMF_2003_136_3_a11
V. G. Kadyshevskii; V. N. Rodionov. Polarization of the Electron-Positron Vacuum by a Strong Magnetic Field in the Theory with a Fundamental Mass. Teoretičeskaâ i matematičeskaâ fizika, Tome 136 (2003) no. 3, pp. 517-528. http://geodesic.mathdoc.fr/item/TMF_2003_136_3_a11/

[1] W. Heisenberg, H. Euler, Z. Phys., 98 (1936), 714 | DOI | Zbl

[2] V. I. Ritus, ZhETF, 69 (1975), 1517 | MR

[3] V. I. Ritus, ZhETF, 73 (1977), 807

[4] V. I. Ritus, “Effective Lagrange function of intense electromagnetic field in QED”, Frontier Test of QED and Physics of the Vacuum, Proc. Conf. (Sandanski, Bulgaria, 9–15 June, 1998), eds. E. Zavattini, D. Bakalov, C. Rizzo, Heron Press, Sofia, 1998; E-print hep-th/9812124

[5] V. R. Khalilov, TMF, 133:1 (2002), 103 | DOI | Zbl

[6] V. B. Berestetskii, E. M. Lifshits, L. P. Pitaevskii, Kvantovaya elektrodinamika, Nauka, M., 1989 | MR

[7] M. Greenman, F. Rohrlich, Phys. Rev. D, 8 (1973), 1103 | DOI

[8] V. G. Kadyshevsky, Nucl. Phys. B, 141 (1978), 477 ; FERMILAB-Pub. 78-070-THY. Sept. 1978, FERMILAB, Batavia, IL, 1978 ; В. Г. Кадышевский, ЭЧАЯ, 11:1 (1980), 5 | DOI | MR | MR

[9] V. G. Kadyshevsky, M. D. Mateev, Phys. Lett. B, 106 (1981), 139 ; Nuovo Cimento A, 87 (1985), 350 | DOI | DOI

[10] V. G. Kadyshevskii, EChAYa, 29:3 (1998), 563

[11] A. B. Migdal, ZhETF, 62 (1972), 1621

[12] I. M. Ternov, V. R. Khalilov, V. N. Rodionov, Vzaimodeistvie zaryazhennykh chastits s silnym elektromagnitnym polem, Izd-vo MGU, M., 1982

[13] A. A. Grib, S. G. Mamaev, V. M. Mostepanenko, Kvantovye effekty v intensivnykh vneshnikh polyakh, Atomizdat, M., 1980

[14] V. I. Ritus, Tr. FIAN, 111, 1979, 5 | MR

[15] V. G. Kadyshevskii, V. N. Rodionov, “Elektromagnitnaya dlina i fundamentalnaya massa v elektrodinamike”, Trudy seminara “Simmetrii i integriruemye sistemy”, ed. A. N. Sisakyan, OIYaI, Dubna, 1999, 103

[16] V. G. Kadyshevskii, V. N. Rodionov, TMF, 125:3 (2000), 432 | DOI | MR

[17] G. E. Stedman et al., Phys. Rev. A, 51 (1995), 4944 | DOI

[18] V. I. Denisov, I. P. Denisova, TMF, 129 (2001), 131 | DOI | Zbl

[19] I. M. Ternov, V. G. Bagrov, V. Ch. Zhukovskii, Vestn. MGU. Ser. fizika, astronomiya, 1966, no. 1, 30

[20] K. Hurley et al., Nature, 397 (1999), 41 ; C. Kouveliotou, S. Dieters, T. Strohmayer et al., Nature, 393 (1998), 235 | DOI | MR | DOI

[21] R. C. Duncan, Physics in ultra-strong magnetic fields, E-print astro-ph/0002442

[22] I. M. Ternov, V. N. Rodionov, A. I. Studenikin, “Vklad neitralnykh slabykh tokov v anomalnyi magnitnyi moment elektrona vo vneshnem pole”, Tezisy dokladov Vsesoyuznogo soveschaniya po kvantovoi metrologii i fundamentalnym fizicheskim konstantam, ed. Yu. V. Tarbeev, NPO “VNIIM” im. D. I. Mendeleeva, L., 1982, 47; ЯФ, 37 (1983), 1270

[23] V. A. Obukhov, V. K. Peres-Fernandes, V. N. Rodionov, V. R. Khalilov, Izv. vuzov. Fizika, 1983, no. 1, 26 | MR

[24] A. Czarnecki, W. Marciano, Phys. Rev. D, 64 (2001), 012014 | DOI

[25] M. Davier, A. Hocker, Phys. Lett. B, 435 (1998), 427 | DOI

[26] M. Davier, S. Eidelman, A. Hocker, Z. Zhang, Eur. Phys. J. C, 27 (2003), 497 ; E-print hep-ph/0208177 | DOI

[27] B. Krause, Phys. Lett. B, 390 (1997), 392 | DOI

[28] E. Bartoš, S. Dubnička, A. Z. Dubničová, E. A. Kuraev, E. Zemlyanaya, Nucl. Phys. B, 632 (2002), 330 | DOI

[29] E. Bartoš, S. Dubnička, A. Z. Dubničová, E. A. Kuraev, E. Zemlyanaya, Is there any room for new physics in the muon $g-2$ problem?, E-print hep-ph/0305051

[30] C. S. Ozben, G. W. Bennett et al Muon $g-2$ Collaboration, Precision measurement of the anomalous magnetic moment of the muon, E-print hep-ex/0211044

[31] G. W. Bennett et al., “Muon $g-2$ Collaboration”, Phys. Rev. Lett., 89 (2002), 1001804

[32] L. B. Okun, Leptony i kvarki, Nauka, M., 1981

[33] V. V. Skalozub, EChAYa, 16 (1985), 1005

[34] Wu-Yang Tsai, A. Yildiz, Phys. Rev. D, 4 (1971), 3643 | DOI

[35] V. N. Rodionov, G. A. Kravtsova, A. M. Mandel, Pisma v ZhETF, 75 (2002), 435