Polarization effects in light-by-light scattering: Euler-Heisenberg versus Born-Infeld. (English) Zbl 1364.81245

Rebhan, Anton; Turk, Günther

Int. J. Mod. Phys. A 32, No. 10, Article ID 1750053, 16 p. (2017).

MSC:

81V10	Electromagnetic interaction; quantum electrodynamics
81U05	\(2\)-body potential quantum scattering theory

Keywords:

QED; Born-Infeld electrodynamics; light-by-light scattering

References:

[1]	Euler, H.; Kockel, B., Naturwiss., 23, 246, (1935)
[2]	Euler, H., Ann. Phys., 26, 398, (1936)
[3]	Akhieser, A.; Landau, L.; Pomeranchook, I., Nature, 138, 206, (1936)
[4]	Achieser, A., Phys. Z. Sowjetunion, 11, 263, (1937)
[5]	Karplus, R.; Neuman, M., Phys. Rev., 83, 776, (1951)
[6]	Heisenberg, W.; Euler, H., Z. Phys., 98, 714, (1936)
[7]	Weisskopf, V., Kong. Dan. Vid. Selsk. Mat.-fys. Medd., XIV/6, 1, (1936)
[8]	Dittrich, W.; Gies, H., 166, 1, (2000)
[9]	Dunne, G. V.; Shifman, M.; Vainshtein, A.; Wheater, J., From Fields to Strings: Circumnavigating Theoretical Physics — Ian Kogan Memorial Collection, Heisenberg-Euler effective Lagrangians: Basics and extensions, 445-522, (2004), World Scientific, Singapore
[10]	Born, M.; Infeld, L., Proc. R. Soc. London A, 144, 425, (1934)
[11]	Schrödinger, E., Proc. R. Irish Acad. A, 47, 77, (1942)
[12]	Schrödinger, E., Proc. R. Irish Acad. A, 49, 59, (1943)
[13]	Fradkin, E. S.; Tseytlin, A. A., Phys. Lett. B, 163, 123, (1985)
[14]	Tseytlin, A. A., Nucl. Phys. B, 276, 391, (1986)
[15]	Gibbons, G. W., Nucl. Phys. B, 514, 603, (1998)
[16]	Gibbons, G. W.; Herdeiro, C. A. R., Phys. Rev. D, 63, 064006, (2001)
[17]	Marklund, M.; Lundin, J., Eur. Phys. J. D, 55, 319, (2009)
[18]	Heinzl, T.; Liesfeld, B.; Amthor, K.-U.; Schwoerer, H.; Sauerbrey, R.; Wipf, A., Opt. Commun., 267, 318, (2006)
[19]	Karbstein, F.; Gies, H.; Reuter, M.; Zepf, M., Phys. Rev. D, 92, 071301, (2015)
[20]	Klein, J. J.; Nigam, B. P., Phys. Rev., 135, B1279, (1964)
[21]	Baier, R.; Breitenlohner, P., Nuovo Cimento, 47, 117, (1967)
[22]	Brezin, E.; Itzykson, C., Phys. Rev. D, 3, 618, (1971)
[23]	Fouché, M.; Battesti, R.; Rizzo, C., Phys. Rev. D, 93, 093020, (2016)
[24]	Duff, M. J.; Isham, C. J., Phys. Lett. B, 86, 157, (1979)
[25]	Grisaru, M. T.; Pendleton, H. N.; van Nieuwenhuizen, P., Phys. Rev. D, 15, 996, (1977)
[26]	Schrödinger, E., Proc. R. Soc. London A, 150, 465, (1935)
[27]	Białynicki-Birula, I.; Jancewicz, B.; Lukierski, J., Quantum Theory of Particles and Fields — Birthday Volume Dedicated to Jan Łopuszański, Nonlinear electrodynamics: Variations on a theme by Born and Infeld, 31-48, (1983), World Scientific, Singapore
[28]	Gibbons, G. W.; Rasheed, D. A., Nucl. Phys. B, 454, 185, (1995)
[29]	Gaillard, M. K.; Zumino, B., 509, 121, (1998)
[30]	Kuzenko, S. M.; Tyler, S. J., J. High Energy Phys., 05, 081, (2007)
[31]	Cecotti, S.; Ferrara, S., Phys. Lett. B, 187, 335, (1987)
[32]	Dávila, J. M.; Schubert, C.; Trejo, M. A., Int. J. Mod. Phys. A, 29, 1450174, (2014)
[33]	Itzykson, C.; Zuber, J.-B., Quantum Field Theory, (1985), McGraw-Hill
[34]	Liang, Y.; Czarnecki, A., Can. J. Phys., 90, 11, (2012)
[35]	Lifshitz, E.; Berestetskii, V.; Pitaevskii, L., Quantum Electrodynamics, (1982), Butterworth-Heinemann
[36]	Hashimoto, K.; Oka, T.; Sonoda, A., J. High Energy Phys., 06, 085, (2014)
[37]	Lutzky, M.; Toll, J. S., Phys. Rev., 113, 1649, (1959)
[38]	Boillat, G., J. Math. Phys., 11, 941, (1970)
[39]	Whitham, G. B., Linear and Nonlinear Waves, (1974), Wiley, New York · Zbl 0373.76001
[40]	Rosly, A. A.; Selivanov, K. G., Helicity conservation in Born-Infeld theory, Proc. 12th Int. Seminar on High Energy Physics, Quarks’2002, (2002)
[41]	Bern, Z.; Dixon, L. J.; Dunbar, D. C.; Kosower, D. A., Nucl. Phys. B, 425, 217, (1994)
[42]	Mignani, R. P.; Testa, V.; Caniulef, D. G.; Taverna, R.; Turolla, R.; Zane, S.; Wu, K., Mon. Not. R. Astron. Soc., 465, 492, (2016)
[43]	Obukhov, Y. N.; Rubilar, G. F., Phys. Rev. D, 66, 024042, (2002)