论文标题
非驾驶重生群体中的保形不变性：选择调节器的基本原理
Conformal invariance in the nonperturbative renormalization group: a rationale for choosing the regulator
论文作者
论文摘要
在近似方案中执行的现场理论计算通常表现出与计算设置的细节相关的某些非物理参数的虚假依赖性（例如，重新归一化方案或在扰动理论中，重新启动过程）。在本文中，我们建议通过调用保形不变性来减少这种依赖性。用作基准三维ISING模型，我们表明，在非扰动重新归化组形式主义中进行的衍生物扩展中，与此对称性相关的身份并不完全满足。最能满足这种身份的计算显示出产生关键指数，这些指数与共形引导程序获得的计算相吻合的准确性很高。
Field-theoretical calculations performed in an approximation scheme often present a spurious dependence of physical quantities on some unphysical parameters associated with the details of the calculation setup (such as, the renormalization scheme or, in perturbation theory, the resummation procedure). In the present article, we propose to reduce this dependence by invoking conformal invariance. Using as a benchmark the three-dimensional Ising model, we show that, within the derivative expansion at order 4, performed in the nonperturbative renormalization group formalism, the identity associated with this symmetry is not exactly satisfied. The calculations which best satisfy this identity are shown to yield critical exponents which coincide to a high accuracy with those obtained by the conformal bootstrap.
