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摘要翻译：
我们描述了一种新的方法，它允许在低温下以及在t=0时直接处理高阶复制品对称性破缺(RSB)，而不需要近似或标度假设。它得到了整个范围内的低温阶函数q(a,T）,并且是完全的，所有的可观测项都可以从它中计算出来。当一个接近连续RSB时，分析了一些可观测项的行为和有限RSB理论本身。在此基础上，考察了传统连续公式的有效性和适用性，提出了一种新的连续RSB公式。
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英文标题：
《New technique for replica symmetry breaking with application to the
SK-model at and near T=0》
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作者：
Manuel J. Schmidt and Reinhold Oppermann
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Disordered Systems and Neural Networks 无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We describe a novel method which allows the treatment of high orders of replica-symmetry-breaking (RSB) at low temperatures as well as at T=0 directly, without a need for approximations or scaling assumptions. It yields the low temperature order function q(a,T) in the full range $0\leq a <\infty$ and is complete in the sense that all observables can be calculated from it. The behavior of some observables and the finite RSB theory itself is analyzed as one approaches continuous RSB. The validity and applicability of the traditional continuous formulation is then scrutinized and a new continuous RSB formulation is proposed.
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PDF链接：
https://arxiv.org/pdf/801.1756
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