Exact statement for Wilsonian and holographic renormalization group

Exact statement for Wilsonian and holographic renormalization group
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威尔逊和全息重正化群的精确陈述

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
E. Musaev
E. Musaev
中科院分区:
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文献类型:
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作者:
E. Akhmedov;E. Musaev

文献摘要

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我们证明了D维矩阵标量场理论中的Polchinski方程在大N时可以约化为(D+1)维理论中的Hamilton方程。在Tr{phi}{sup l}(对于所有l)算子的子扇区中,我们找到了相应哈密顿量的精确形式。与全息重整化群的关系进行了讨论。
We show that Polchinski equations in the D-dimensional matrix scalar field theory can be reduced at large N to the Hamiltonian equations in a (D+1)-dimensional theory. In the subsector of the Tr{phi}{sup l} (for all l) operators we find the exact form of the corresponding Hamiltonian. The relation to the holographic renormalization group is discussed.