Exact partition function and boundary state of 2D massive Ising field theory with boundary magnetic field |
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| Affiliation: | 1. Departamento de Física, Facultad de Bioquímica y Ciencias Biológicas, Universidad Nacional del Litoral, and Instituto de Física del Litoral (UNL–CONICET), Güemes 3450, 3000 Santa Fe, Argentina;2. Instituto de Física Enrique Gaviola (IFEG–CONICET) and FaMAF, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina;3. Instituto de Física, Universidade Federal do Rio de Janeiro, CP 68528, 21941-972, Rio de Janeiro RJ, Brazil;4. Instituto de Física, Universidade Federal de Mato Grosso, 78060-900, Cuiabá-MT, Brazil;1. Department of Physics, SERC, Temple University, Philadelphia, PA 19122, USA;2. School of Physics and Key Laboratory of Particle Physics and Particle Irradiation (MOE), Shandong University, Jinan, Shandong 250100, China;1. Instituto de F́ısica, Universidade Federal de Mato Grosso, 78060-900 Cuiabá (MT), Brazil;2. Soft Matter Systems Research Group, Center for Simulational Physics, The University of Georgia, Athens, Georgia 30602, USA;3. Departamento de F́ısica, Universidade Federal de Minas Gerais, 31270-901 Belo Horizonte (MG), Brazil;1. University of Debrecen, P.O.Box 105, H-4010 Debrecen, Hungary;2. SISSA, via Bonomea 265, I-34136 Trieste, Italy;3. CNR-IOM DEMOCRITOS Simulation Center, Via Bonomea 265, I-34136 Trieste, Italy;4. MTA-DE Particle Physics Research Group, P.O.Box 51, H-4001 Debrecen, Hungary;5. MTA Atomki, P.O. Box 51, H-4001 Debrecen, Hungary |
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| Abstract: | We compute the exact partition function, the universal ground-state degeneracy and boundary state of the 2D Ising model with boundary magnetic field at off-critical temperatures. The model has a domain that exhibits states localized near the boundaries. We study this domain of boundary bound state and derive exact expressions for the “g function” and boundary state for all temperatures and boundary magnetic fields. In the massless limit we recover the boundary renormalization group flow between the conformally invariant free and fixed boundary conditions. |
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