The Ising Model on a Dynamically Triangulated Disk with a Boundary Magnetic Field

Simple item page
dc.creatorMcGuire, Scott
dc.creatorCatterall, Simon
dc.creatorBowick, Mark
dc.creatorWarner, Simeon
dc.date2001-05-02
dc.date.accessioned2026-07-07T03:38:28Z
dc.date.available2026-07-07T03:38:28Z
dc.descriptionWe use Monte Carlo simulations to study a dynamically triangulated disk with Ising spins on the vertices and a boundary magnetic field. For the case of zero magnetic field we show that the model possesses three phases. For one of these the boundary length grows linearly with disk area, while the other two phases are characterized by a boundary whose size is on the order of the cut-off. A line of continuous magnetic transitions separates the two small boundary phases. We determine the critical exponents of the continuous magnetic phase transition and relate them to predictions from continuum 2-d quantum gravity. This line of continuous transitions appears to terminate on a line of discontinuous phase transitions dividing the small boundary phases from the large boundary phase. We examine the scaling of bulk magnetization and boundary magnetization as a function of boundary magnetic field in the vicinity of this tricritical point.
dc.description32 pages, latex
dc.identifierhttps://arxiv.org/abs/hep-lat/0105002
dc.identifierhttp://arxiv.org/abs/hep-lat/0105002
dc.identifierNucl.Phys. B614 (2001) 467-493
dc.identifierdoi:10.1016/S0550-3213(01)00405-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/38546
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleThe Ising Model on a Dynamically Triangulated Disk with a Boundary Magnetic Field
dc.typetext

Files

Collections

arXiv