Phase structures in fuzzy geometries
High Energy Physics - Theory
2012-04-30 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
We study phase structures of quantum field theories in fuzzy geometries. Several examples of fuzzy geometries as well as QFT's on such geometries are considered. They are fuzzy spheres and beyond as well as noncommutative deformations of BTZ blackholes. Analysis is done analytically and through simulations. Several features like novel stripe phases as well as spontaneous symmetry breaking avoiding Colemen, Mermin, Wagner theorem are brought out. Also we establish that these phases are stable due to topological obstructions.
Cite
@article{arxiv.1204.6165,
title = {Phase structures in fuzzy geometries},
author = {T R Govindarajan and S. Digal and K. S. Gupta and X. Martin},
journal= {arXiv preprint arXiv:1204.6165},
year = {2012}
}
Comments
19 pages,13 figures,Proceedings of the Corfu Summer Institute 2011 School and Workshops on Elementary Particle Physics and Gravity