1992/12/03 by Edward Hsu, David Kutasov · 46 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Classical mechanics #Geometry #Gravitation #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Nonlinear Waves and Solitons #Partition function (quantum field theory) #Physics #Quantum #Quantum gravity #Quantum mechanics #Sine #String (physics) #String theory #Theoretical physics #Torus #hep-th
paper · pdf · doi:10.1016/0550-3213(93)90668-f
published in Nuclear Physics B 396(2-3), 693-707 (Elsevier BV) · 14 pages, 4 figures (not included), PUPT-1357
arxiv created 1992/12/03 · openalex publication_date 1993/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use matrix model results to investigate the Sine-Gordon model coupled to two dimensional gravity. For relevant (in the RG sense) potentials, we show that the c=1 string, which appears in the ultraviolet limit of this model, flows to a set of decoupled c=0 (pure gravity) models in the infrared. The torus partition sum, which was argued previously to count the number of string degrees of freedom and hence satisfy a new c -- theorem, is shown to be a monotonically decreasing function of the scale (given by the quantum area of the world-sheet).