Double-trace operators and one-loop vacuum energy in AdS/CFT
Double-trace operators and one-loop vacuum energy in AdS/CFT
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DOI：
10.1103/physrevd.67.064018
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发表时间：
2002-10
影响因子：
5
通讯作者：
S. Gubser;Indrajit Mitra
中科院分区：
文献类型：
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作者：
S. Gubser;Indrajit Mitra
我们对反\char21{}德西特空间中的快子场的真空能量进行了单循环计算，其边界条件对应于双场理论中双迹算子的存在。这样的算子可以在大 N 极限下通过勒让德变换导致彼此相关的两个不同共形场论之间的重整化群流。单环真空能量的计算使我们能够比经典超引力近似更进一步地验证全息c定理。
We perform a one-loop calculation of the vacuum energy of a tachyon field in anti\char21{}de Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory. Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legendre transformation in the large N limit. The calculation of the one-loop vacuum energy enables us to verify the holographic c theorem one step beyond the classical supergravity approximation.