Global Defects in Field Theory with Applications to Condensed Matter

Details Global Defects in Field Theory with Applications to Condensed Matter Global Defects in Field Theory with Applications to Condensed Matter

2005-11-28

arxiv.org/abs/cond-mat/0511657v1

Mod.Phys.Lett. B19 (2005) 801-819

Physics

Condensed Matter

Other Condensed Matter

15 pages, 9 figures

Scientific paper

10.1142/S0217984905008736

We review investigations on defects in systems described by real scalar fields in (D,1) space-time dimensions. We first work in one spatial dimension, with models described by one and two real scalar fields, and in higher dimensions. We show that when the potential assumes specific form, there are models which support stable global defects for D arbitrary. We also show how to find first-order differential equations that solve the equations of motion, and how to solve models in D dimensions via soluble problems in D=1. We illustrate the procedure examining specific models and showing how they may be used in applications in different contexts in condensed matter physics, and in other areas.

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