The curious case of large-N expansions on a (pseudo)sphere
Copyright policy )The curious case of large-N expansions on a (pseudo)sphere
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.
18 pages, 3 figures
- Department of Physics and Astronomy Northwestern University United States
- College of New Jersey United States
- Quaid-i-Azam University Pakistan
- Department of Physics and Astronomy University of Rochester United States
- Abdus Salam Centre for Physics Pakistan
High Energy Physics - Theory, Nuclear and High Energy Physics, Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, Model quantum field theories, QC770-798, Mathematical Physics (math-ph), Perturbative methods of renormalization applied to problems in quantum field theory, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Compactifications; symmetric and spherical varieties, Mathematical Physics
High Energy Physics - Theory, Nuclear and High Energy Physics, Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, Model quantum field theories, QC770-798, Mathematical Physics (math-ph), Perturbative methods of renormalization applied to problems in quantum field theory, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Compactifications; symmetric and spherical varieties, Mathematical Physics
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