摘要翻译:
临界一维量子系统(或二维共形场理论)的边界熵log在边界理论的重整化群(RG)流下减小。相反,我们研究了体论在两个附近临界点之间流动时边界熵的行为。我们用共形微扰理论计算了微相关体微扰引起的g的变化,发现它没有优先符号。因此,在适当的体流中,边界熵log(g)可以增加。这在最小模型之间的流中显式地演示了。我们讨论了这一结果在弦理论中d-膜和凝聚态中杂质问题中的应用。
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英文标题:
《Boundary Entropy Can Increase Under Bulk RG Flow》
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作者:
Daniel Green, Michael Mulligan, David Starr
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
The boundary entropy log(g) of a critical one-dimensional quantum system (or two-dimensional conformal field theory) is known to decrease under renormalization group (RG) flow of the boundary theory. We study instead the behavior of the boundary entropy as the bulk theory flows between two nearby critical points. We use conformal perturbation theory to calculate the change in g due to a slightly relevant bulk perturbation and find that it has no preferred sign. The boundary entropy log(g) can therefore increase during appropriate bulk flows. This is demonstrated explicitly in flows between minimal models. We discuss the applications of this result to D-branes in string theory and to impurity problems in condensed matter.
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PDF链接:
https://arxiv.org/pdf/710.4348