English

Lattice field theory with torsion

High Energy Physics - Lattice 2019-09-30 v2 Mesoscale and Nanoscale Physics General Relativity and Quantum Cosmology High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1906.02406,
  title  = {Lattice field theory with torsion},
  author = {Shota Imaki and Arata Yamamoto},
  journal= {arXiv preprint arXiv:1906.02406},
  year   = {2019}
}
R2 v1 2026-06-23T09:44:43.803Z