For continuous phase transitions characterized by power-law divergences, Fisher renormalization prescribes how to obtain the critical exponents for a system under constraint from their ideal counterparts. In statistical mechanics, such ideal behaviour at phase transitions is frequently modified by multiplicative logarithmic corrections. Here, Fisher renormalization for the exponents of these logarithms is developed in a general manner. As for the leading exponents, Fisher renormalization at the logarithmic level is seen to be involutory and the renormalized exponents obey the same scaling relations as their ideal analogs. The scheme is tested in lattice animals and the Yang-Lee problem at their upper critical dimensions, where predictions for logarithmic corrections are made.
Analysis of the 3d massive renormalization group perturbative expansions: a delicate case
本文分析了定维空间微扰重整化群方法在临界现象理论中的有效性。三种模型被认为是：O（N）模型，立方模型和反铁磁模型定义在堆叠的三角晶格。我们认为所有的模型在固定的d=3和分析目前用于计算临界指数的再确认程序。我们首先证明了，对于O（N）模型，重算并不能消除所有的非物理（虚假）不动点（FP）。然后仔细研究了伪频和Wilson-Fisher FP对重构参数的依赖性。在威尔逊-费舍尔FP的临界指数显示出弱的依赖性的再结晶参数。相反，伪FP处的指数以及伪FP的存在强烈依赖于这些参数。对于三次模型，发现了一个新的稳定FP，其性质也强烈依赖于恢复参数。这似乎是假的，正如预期的那样。至于受挫模型，根据自旋分量数量的值，有两种情况。当N大于临界值Nc时，稳定FP与Wilson-Fisher FP具有共同的特征。相反，当N<Nc时，在稳定FP处得到的结果与在O（N）和立方模型的伪FP处得到的结果相似。我们的结论是，从这个分析，稳定FP发现N3<Nc in frustrated models is spurious. Since Nc>，我们得出结论，XY和海森堡阻挫磁铁的转变是一级。
Renormalization-Group Analysis of the Many-Body Localization Transition in the Random-Field XXZ Chain
The Abdus Salam ICTP（阿卜杜斯·萨拉姆国际理论物理中心）；SISSA（的里雅斯特高等研究学院）；INFN, Sezione di Trieste（意大利国家核物理研究所的里雅斯特分部）；Dipartimento di Fisica, Università di Bari（巴里大学物理系）；Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Bari（意大利国家核物理研究所巴里分部）；Max Planck Institute for the Physics of Complex Systems（马克斯·普朗克复杂系统物理研究所）；Department of Physics, Princeton University（普林斯顿大学物理系）
Coarse graining from within: Wilson-Fisher universality on $S^3$
INAF – Osservatorio Astrofisico di Catania（意大利国家天体物理研究所卡塔尼亚天文台）；INFN, Sezione di Catania（意大利国家核物理研究所卡塔尼亚分部）；Institute for Quantum Gravity, Friedrich-Alexander-Universität Erlangen-Nürnberg（埃尔朗根-纽伦堡大学量子引力研究所）；Dipartimento di Fisica e Astronomia, Università di Catania（卡塔尼亚大学物理与天文学系）
