Polchinski和Wick有序重整化群方法中的自能效应
Self-energy effects in the Polchinski and Wick-ordered renormalization-group approaches
摘要：
我讨论的功能重整化群（fRG）计划，允许非微扰治疗的自能效应，不依赖于一个粒子的不可约功能。特别是，我认为Polchinski或Wick顺序计划与截肢的完整（而不是裸）的格林函数，以及更一般的计划，并eastestablish他们的关系的“动态调整传播”计划M。Salmhofer [Ann.der Phys.16，171（2007）]。虽然在Polchinski格式中，截断全（而不是裸）格林函数改善了对自能效应的处理，但相应方程的结构不适合处理强耦合问题;在该方案中如何恢复这些问题的平均场（MF）解也不明显。对于Wick有序格式，排除全部或部分蝌蚪图，可以获得适合处理强耦合问题的fRG层次形式。特别是，我强调的计划，这是当地的截止参数的实用性，并比较它们的单粒子不可约的方法。
英文摘要：
I discuss functional renormalization group (fRG) schemes, which allow for non-perturbative treatment of the self-energy effects and do not rely on the one-particle irreducible functional. In particular, I consider Polchinski or Wick-ordered schemes with amputation of full (instead of bare) Green functions, as well as more general schemes, and eastablish their relation to the `dynamical adjustment propagator' scheme by M. Salmhofer [Ann. der Phys. 16, 171 (2007)]. While in the Polchinski scheme the amputation of full (instead of bare) Green functions improves treatment of the self-energy effects, the structure of the corresponding equations is not suitable to treat strong-coupling problems; it is not also evident, how the mean-field (MF) solution of these problems is recovered in this scheme. For Wick ordered scheme, excluding fully or partly tadpole diagrams one can obtain forms of fRG hierarchy, which are suitable to treat strong-coupling problems. In particular, I emphasize usefullness of the schemes, which are local in cutoff parameter, and compare them to the one-particle irreducible approach.
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