Infrared properties of boundaries in one-dimensional quantum systems
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Publication:4968362
DOI10.1088/1742-5468/2006/03/P03014zbMATH Open1456.82400arXivhep-th/0512023OpenAlexW1989659635MaRDI QIDQ4968362
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Publication date: 12 July 2019
Published in: (Search for Journal in Brave)
Abstract: We present some partial results on the general infrared behavior of bulk-critical 1-d quantum systems with boundary. We investigate whether the boundary entropy, s(T), is always bounded below as the temperature T decreases towards 0, and whether the boundary always becomes critical in the IR limit. We show that failure of these properties is equivalent to certain seemingly pathological behaviors far from the boundary. One of our approaches uses real time methods, in which locality at the boundary is expressed by analyticity in the frequency. As a preliminary, we use real time methods to prove again that the boundary beta-function is the gradient of the boundary entropy, which implies that s(T) decreases with T. The metric on the space of boundary couplings is interpreted as the renormalized susceptibility matrix of the boundary, made finite by a natural subtraction.
Full work available at URL: https://arxiv.org/abs/hep-th/0512023
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