1994/08/04 by S. Guruswamy, Sathya Guruswamy, Guruswamy, S. +5
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9408018
7 pages, TeX, UR-1368/ER-40685-818 (Talk presented by S.G. at the 16-th Annual Montreal-Rochester-Syracuse- Toronto (MRST) Meeting:``What Next? Exploring the Future of High-Energy Physics'', held at McGill University, Montreal, Canada, 11--13 May 1994. To appear in Proceedings published by World Scientific.)
arxiv created 1994/08/04 · openalex publication_date 1994/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This talk is based on a recent paper1 of ours. In an attempt to understand three-dimensional conformal field theories, we study in detail one such example --the large N limit of the O(N) non-linear sigma model at its non-trivial fixed point -- in the zeta function regularization. We study this on various three-dimensional manifolds of constant curvature of the kind Σ× R (Σ=S1 × S1, S2, H2). This describes a quantum phase transition at zero temperature. We illustrate that the factor that determines whether m=0 or not at the critical point in the different cases is not the `size' of Σ or its Riemannian curvature, but the conformal class of the metric.