The curious case of large-N expansions on a (pseudo)sphere
Author(s): Polyakov, Alexander M; Saleem, Zain H; Stokes, James
DownloadTo refer to this page use:
http://arks.princeton.edu/ark:/88435/pr1b95n
Abstract: | We elucidate the large-N dynamics of one-dimensional sigma models with spherical and hyperbolic target spaces and find a duality between the Lagrange multiplier and the angular momentum. In the hyperbolic model we propose a new class of operators based on the irreducible representations of hyperbolic space. We also uncover unexpected zero modes which lead to the double scaling of the 1/N expansion and explore these modes using Gelfand Dikiy equations. (C) 2015 The Authors. Published by Elsevier B.V. |
Publication Date: | Apr-2015 |
Electronic Publication Date: | 3-Feb-2015 |
Citation: | Polyakov, Alexander M, Saleem, Zain H, Stokes, James. (2015). The curious case of large-N expansions on a (pseudo)sphere. NUCLEAR PHYSICS B, 893 (54 - 69. doi:10.1016/j.nuclphysb.2015.01.024 |
DOI: | doi:10.1016/j.nuclphysb.2015.01.024 |
ISSN: | 0550-3213 |
EISSN: | 1873-1562 |
Pages: | 54 - 69 |
Type of Material: | Journal Article |
Journal/Proceeding Title: | NUCLEAR PHYSICS B |
Version: | Final published version. This is an open access article. |
Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.