具有新型手性对称性破缺的Skyrme模型

IF 0.9 3区 物理与天体物理 Q2 MATHEMATICS
P. Sutcliffe
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引用次数: 0

摘要

对Skyrme模型进行了扩展,在模型中加入了打破手性对称的导数项。该理论只包含一个新参数,当这个对称破缺参数消失时,它就会简化为标准的Skyrme模型。相同的Faddeev-Bogomolny能量界适用于所有参数值,但参数可以调整,使单个Skyrme模型的能量比标准Skyrme模型更接近该界。将有理映射近似应用于多重skyrmions表明,对于一个合适的对称破缺参数值,该理论中的结合能可能比标准Skyrme模型中的结合能更为真实。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Skyrme Model with Novel Chiral Symmetry Breaking
An extension of the Skyrme model is presented in which derivative terms are added that break chiral symmetry to isospin symmetry. The theory contains just one new parameter and it reduces to the standard Skyrme model when this symmetry breaking parameter vanishes. The same Faddeev-Bogomolny energy bound applies for all parameter values, but the parameter can be tuned so that the energy of the single Skyrmion is much closer to the bound than in the standard Skyrme model. Applying the rational map approximation to multi-Skyrmions suggests that, for a suitable value of the symmetry breaking parameter, binding energies in this theory may be significantly more realistic than in the standard Skyrme model.
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来源期刊
CiteScore
1.80
自引率
0.00%
发文量
87
审稿时长
4-8 weeks
期刊介绍: Scope Geometrical methods in mathematical physics Lie theory and differential equations Classical and quantum integrable systems Algebraic methods in dynamical systems and chaos Exactly and quasi-exactly solvable models Lie groups and algebras, representation theory Orthogonal polynomials and special functions Integrable probability and stochastic processes Quantum algebras, quantum groups and their representations Symplectic, Poisson and noncommutative geometry Algebraic geometry and its applications Quantum field theories and string/gauge theories Statistical physics and condensed matter physics Quantum gravity and cosmology.
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