Fractal structure of the effective action in (quasi)planar models with long-range interactions

被引:22
作者
Gorbar, EV
Gusynin, VP
Miransky, VA
Shovkovy, IA [1 ]
机构
[1] Univ Fed Juiz Fora, BR-36036330 Juiz de Fora, Brazil
[2] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
[3] Univ Frankfurt, Inst Theoret Phys, D-60054 Frankfurt, Germany
基金
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词
dynamical symmetry breaking; effective action; composite operators; long-range interaction; high-T-c superconductors;
D O I
10.1016/S0375-9601(03)00846-6
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive the effective potential for composite fields in a class of (quasi)planar models with long-range interactions. This class of models can be relevant for high temperature superconductors and graphite. The fractal structure of the effective potential is revealed and its physical interpretation is presented. It is argued that the multi-branched fractal structure of the potential reflects the presence of an infinite tower of excitonic bound states that occur as a result of the long-range interactions. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:472 / 477
页数:6
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