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arXiv · 1906.02406

Lattice field theory with torsion

Shota Imaki·Arata Yamamoto
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Abstract

Inspired by the duality between gravity and defects in crystals, we study lattice field theory with torsion. The torsion is realized by a line defect of a lattice, namely a dislocation. As the first application, we perform the numerical computation for vector and axial currents induced by a screw dislocation. This current generation is called the chiral torsional effect. We also derive the analytical formula for the chiral torsional effect in the continuum limit.

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Shota Imaki, Arata Yamamoto. 2019-09-27. Lattice field theory with torsion. https://doi.org/10.1103/physrevd.100.054509

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