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arXiv cond-mat/0607289cond-mat.stat-mechcond-mat.str-el
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重整化群流中重正化子的动力学调整

Dynamical Adjustment of Propagators in Renormalization Group Flows

Manfred Salmhofer

摘要:

引入了一类传播子动态调整的连续重整化群流,并在费米子和玻色子量子场论中进行了理论研究。调整允许包括自能量效应nontrivially在分母的传播和适应尺度分解到一个移动的奇点,因此,以自然的方式定义流量的费米表面。这些流不需要反项,但是在早期处理中使用的反项可以使用它们来构造。通过一个简单的例子,考察了传播子调整对流的强耦合行为的影响,并得出了关于重整化群流强耦合行为的一些结论。

英文摘要:

A class of continuous renormalization group flows with a dynamical adjustment of the propagator is introduced and studied theoretically for fermionic and bosonic quantum field theories. The adjustment allows to include self--energy effects nontrivially in the denominator of the propagator and to adapt the scale decomposition to a moving singularity, and hence to define flows of Fermi surfaces in a natural way. These flows require no counterterms, but the counterterms used in earlier treatments can be constructed using them. The influence of propagator adjustment on the strong--coupling behaviour of flows is examined for a simple example, and some conclusions about the strong coupling behaviour of renormalization group flows are drawn.

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