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摘要翻译：
通过对非平衡动力生成泛函中的时间变量进行重整化群变换，研究了双自旋相互作用的自旋玻璃模型的长时间老化动力学。我们得到了RG方程，并发现流收敛于一个精确不动点。我们证明了该不动点在时间变量的再参数化下是不变的。这种连续的对称性被打破了，正如在它下观察到的关联和响应不是不变的事实所证明的那样。我们认为这引起了Goldstone模的存在，而这些Goldstone模决定了非平衡动力学中涨落的行为。
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英文标题：
《Time reparametrization symmetry in spin glass models》
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作者：
Horacio E. Castillo
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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：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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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 study the long-time aging dynamics of spin-glass models with two-spin interactions by performing a Renormalization Group transformation on the time variable in the non-equilibrium dynamical generating functional. We obtain the RG equations and find that the flow converges to an exact fixed point. We show that this fixed point is invariant under reparametrizations of the time variable. This continuous symmetry is broken, as evidenced by the fact that the observed correlations and responses are not invariant under it. We argue that this gives rise to the presence of Goldstone modes, and that those Goldstone modes shape the behavior of fluctuations in the nonequilibrium dynamics.
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PDF链接：
https://arxiv.org/pdf/801.0014
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