Spinors on a curved noncommutative space: coupling to torsion and the Gross-Neveu model
High Energy Physics - Theory
2015-09-23 v1 General Relativity and Quantum Cosmology
Abstract
We analyse the spinor action on a curved noncommutative space, the so-called truncated Heisenberg algebra, and in particular, the nonminimal coupling of spinors to the torsion. We find that dimensional reduction of the Dirac action gives the noncommutative extension of the Gross-Neveu model, the model which is, as shown by Vignes-Tourneret, fully renormalisable.
Keywords
Cite
@article{arxiv.1502.00761,
title = {Spinors on a curved noncommutative space: coupling to torsion and the Gross-Neveu model},
author = {Maja Buric and John Madore and Luka Nenadovic},
journal= {arXiv preprint arXiv:1502.00761},
year = {2015}
}
Comments
14 pages