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Analog Electromagnetism in a Symmetrized $^3$He-A

Jacek Dziarmaga
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Abstract

We derive a low temperature effective action for the order parameter in a symmetrized phase A of helium 3, where the Fermi velocity equals the transversal velocity of low energy fermionic quasiparticles. The effective action has a form of the electromagnetic action. This analog electromagnetism is a part of the program to derive analog gravity and the standard model as a low energy effective theory in a condensed matter system. For the analog gauge field to satisfy the Maxwell equations interactions in $^3$He require special tuning that leads to the symmetric case.

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Jacek Dziarmaga. 2001-12-18. Analog Electromagnetism in a Symmetrized $^3$He-A. https://arxiv.org/abs/gr-qc/0112041

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