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摘要翻译：
用层次参考理论(HRT)的光滑截止公式研究了三维相变理论的原型phi4标量场理论。临界行为用标度律和临界指数来描述，与伊辛普适类的已知值相比较是有利的。反磁化率在共存曲线内完全消失，提供了麦克斯韦结构的第一原理实现，并在相位边界上显示了预期的不连续性，这与HRT通常的尖锐截止实现不同。因此，在光滑截止HRT中，一阶和二阶相变在一个微观的、非微扰的方法中得到了正确的描述。
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英文标题：
《Smooth cutoff formulation of hierarchical reference theory for a scalar
phi4 field theory》
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作者：
Cristian D. Ionescu, Alberto Parola, Davide Pini and Luciano Reatto
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最新提交年份：
2007
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分类信息：
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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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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英文摘要：
The phi4 scalar field theory in three dimensions, prototype for the study of phase transitions, is investigated by means of the hierarchical reference theory (HRT) in its smooth cutoff formulation. The critical behavior is described by scaling laws and critical exponents which compare favorably with the known values of the Ising universality class. The inverse susceptibility vanishes identically inside the coexistence curve, providing a first principle implementation of the Maxwell construction, and shows the expected discontinuity across the phase boundary, at variance with the usual sharp cutoff implementation of HRT. The correct description of first and second order phase transitions within a microscopic, nonperturbative approach is thus achieved in the smooth cutoff HRT.
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PDF链接：
https://arxiv.org/pdf/709.2024
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