1999/07/21 by J. Dimock, T. R. Hurd
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Coupling (piping) #Cutoff #Geometry #Infrared #Infrared fixed point #Materials science #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #Sine #Statistical physics #Theoretical physics #Ultraviolet #math-ph #math.MP
paper · pdf · doi:10.1007/s000230050005
published as Annales Poincare Phys.Theor. 1 (2000) 499-541 · 43 pages, Latex 2.09
arxiv created 1999/07/21 · openalex publication_date 2000/07/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the sine-Gordon model in two dimensional space time in two different domains. For beta > 8 pi and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the model is asymptotically free in the infrared. For beta < 8 pi and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalization group analysis shows that the model is asymptotically free in the ultraviolet.