论文标题
功能重量级化组中的精确溶液和残留调节剂依赖性
Exact solutions and residual regulator dependence in functional renormalisation group flows
论文作者
论文摘要
我们以$ 2 <d <4 $的大小构建O（n）模型的功能重量级化组方程和总neveu模型的确切解决方案，而无需指定调节器的形式。这允许研究哪些数量独立于选择调节剂而不会受到截短伪像的困扰。我们发现，只有普遍数量，例如关键指数和定性特征，例如存在有限真空期望值，是不依赖调节器的，而耦合常数的值是一般任意的。我们还提供了一种通用算法来构建衍生物扩展和Blaizot-Méndez-wschebor方案中截断的混凝土操作员基础。
We construct exact solutions to the functional renormalisation group equation of the O(N) model and the Gross-Neveu model at large N for $2<d<4$, without specifying the form of the regulator. This allows to investigate which quantities are independent of the choice of regulator without being plagued by truncation artefacts. We find that only universal quantities, like critical exponents, and qualitative features, like the existence of a finite vacuum expectation value, are regulator-independent, whereas values of coupling constants are generically arbitrary. We also provide a general algorithm to construct a concrete operator basis for truncations in the derivative expansion and the Blaizot-Méndez-Wschebor scheme.
