Functional renormalization group with a compactly supported smooth regulator function
Functional renormalization group with a compactly supported smooth regulator function
复制标题
具有紧支持的平滑调节函数的函数重整化群
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
I. Nandori
中科院分区：
文献类型：
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作者：
I. Nandori
本文考虑一类具有紧支撑光滑调节函数的泛函重整化群方程。它表明，在适当的限制CSS调节器恢复的最优的，它有所有的阶导数。CSS调节器的更一般化的形式示出减少到所有主要类型的调节器功能（指数，幂律）在适当的限制。通过研究玻色化二维量子电动力学在局域势近似下的临界行为和d < 2维的sine-ordon标量理论在局域势近似下的临界行为，检验了CSS调节函数.结果表明，核物理中类似的光滑问题已经通过引入所谓的Salamon-Vertse势得到解决，该势可以与CSS调节器相关联。
A bstractThe functional renormalization group equation with a compactly supported smooth (CSS) regulator function is considered. It is demonstrated that in an appropriate limit the CSS regulator recovers the optimized one and it has derivatives of all orders. The more generalized form of the CSS regulator is shown to reduce to all major type of regulator functions (exponential, power-law) in appropriate limits. The CSS regulator function is tested by studying the critical behavior of the bosonized two-dimensional quantum electrodynamics in the local potential approximation and the sine-ordon scalar theory for d < 2 dimensions beyond the local potential approximation. It is shown that a similar smoothing problem in nuclear physics has already been solved by introducing the so called Salamon-Vertse potential which can be related to the CSS regulator.