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Composite operators in cubic field theories and link-overlap fluctuations in spin-glass models

机译：立方场理论中的合成算符和自旋玻璃模型中的链接重叠波动

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摘要

We present a complete characterization of the fluctuations and correlations of the squared overlap in the Edwards-Anderson spin-glass model in zero field. The analysis reveals that the energy-energy correlation (and thus the specific heat) has a different critical behavior than the fluctuations of the link overlap in spite of the fact that the average energy and average link overlap have the same critical properties. More precisely the link-overlap fluctuations are larger than the specific heat according to a computation at first order in the 6 - ∈ expansion. An unexpected outcome is that the link-overlap fluctuations have a subdominant power-law contribution characterized by an anomalous logarithmic prefactor which is absent in the specific heat. In order to compute the ∈ expansion we consider the problem of the renormalization of quadratic composite operators in a generic multicomponent cubic field theory: the results obtained have a range of applicability beyond spin-glass theory.
机译：我们提出了在零场的Edwards-Anderson自旋玻璃模型中平方重叠的起伏和相关性的完整表征。分析表明，尽管平均能量和平均链节重叠具有相同的临界特性，但能量-能量相关性（因此比热）的临界行为与链节重叠的波动不同。更精确地，根据6-ε展开中的一阶计算，链接重叠波动大于比热。出乎意料的结果是，链路重叠波动具有主要的幂律贡献，其特征在于比热中不存在对数异常对数因子。为了计算ε展开，我们在通用的多分量立方场理论中考虑了二次复合算子的重新正规化问题：获得的结果具有自旋玻璃理论以外的适用范围。

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  • 来源
    《Physical review》 |2016年第2期|024422.1-024422.8|共8页
  • 作者

    Ada Altieri; Giorgio Parisi; Tommaso Rizzo;

  • 作者单位

    Dipartimento di Fisica, 'Sapienza' Universita di Roma, Piazzale A. Moro 2, I-00185 Rome, Italy,LPTMS, CNRS, Univ. Paris-Sud, Universite Paris-Saclay, 91405 Orsay, France;

    Dipartimento di Fisica, 'Sapienza' Universita di Roma, Piazzale A. Moro 2, I-00185 Rome, Italy,NANOTECH-CNR, UOS Rome, 'Sapienza' Universita di Roma, Piazzale A. Moro 2, I-00185 Rome, Italy,INFN, Piazzale A. Moro 2, I-00185 Rome, Italy;

    Dipartimento di Fisica, 'Sapienza' Universita di Roma, Piazzale A. Moro 2, I-00185 Rome, Italy,ISC-CNR, UOS Rome, 'Sapienza' Universita di Roma, Piazzale A. Moro 2, I-00185 Rome, Italy;

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