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Abstract

Generalized Heisenberg-Euler Formula and Its Application to Vacuum Magnetic Birefringence Experiment †

1
Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan
2
Tokyo Bunkyo SC, the Open University of Japan, Tokyo 112-0012, Japan
3
Department of Physics, Graduate School of Science, the University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
4
Department of Physics, Harvard University, Cambridge, MA 02138, USA
5
Program for Leading Graduate Schools, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan
*
Author to whom correspondence should be addressed.
Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.
Proceedings 2018, 2(1), 32; https://doi.org/10.3390/proceedings2010032
Published: 5 January 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
The Heisenberg-Euler formula, describing the non-linear effective action of a photon, is generalized to include parity violating effects. Using the formula, how to probe the dark sector via the magnetic birefringence experiments is studied, in which a new scheme has emerged. The scheme uses a ring Fabry-Pérot resonator with a new setup for the initial polarization of a laser beam, which can measure the parity-violating effects directly without QED background. As an example, the sensitivity of the measurements (ellipticity and polarization rotation) is given, in the presence of a dark sector neutrino, as a function of a mixing parameter between visible and dark sectors and the mass of the dark sector neutrino.

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MDPI and ACS Style

Sugamoto, A.; Fan, X.; Kamioka, S.; Yamashita, K.; Asai, S. Generalized Heisenberg-Euler Formula and Its Application to Vacuum Magnetic Birefringence Experiment. Proceedings 2018, 2, 32. https://doi.org/10.3390/proceedings2010032

AMA Style

Sugamoto A, Fan X, Kamioka S, Yamashita K, Asai S. Generalized Heisenberg-Euler Formula and Its Application to Vacuum Magnetic Birefringence Experiment. Proceedings. 2018; 2(1):32. https://doi.org/10.3390/proceedings2010032

Chicago/Turabian Style

Sugamoto, Akio, Xing Fan, Shusei Kamioka, Kimiko Yamashita, and Shoji Asai. 2018. "Generalized Heisenberg-Euler Formula and Its Application to Vacuum Magnetic Birefringence Experiment" Proceedings 2, no. 1: 32. https://doi.org/10.3390/proceedings2010032

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