Boundary Entropy Can Increase Under Bulk RG Flow

Details Boundary Entropy Can Increase Under Bulk RG Flow Boundary Entropy Can Increase Under Bulk RG Flow

2007-10-24

arxiv.org/abs/0710.4348v2

Nucl.Phys.B798:491-504,2008

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

10.1016/j.nuclphysb.2008.01.010

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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