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Type: Artigo de periódico
Title: Dimensional Compactification And Two-particle Binding
Author: Delfino A.
Timoteo V.S.
Frederico T.
Tomio L.
Cordeiro C.E.
Abstract: The renormalization group equations (RGE) are applied to the study of two-body singular interactions at the surface of an infinite long cylinder with a radius R. A single scale, independent of R, emerges from the renormalization procedure of removing the ultraviolet momentum divergence of the original interacting Green's function. This single scale implies in a R-dependent binding energy, which is obtained from the pole of the Green's function. The binding is infinitely large in the limit R = 0, while as R goes to infinity it converges to the well- known two-dimensional (2D) result in flat space. The physical scale is controlled by the energy binding value on the 2D flat surface. By exploring the effect of space dimensions D, from D = 1 to D = 3, in the physics and scales, it is also shown that by decreasing the dimensionality one favors the two-body binding. © 2010 Wiley Periodicals, Inc.
Rights: fechado
Identifier DOI: 10.1002/qua.22625
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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