Infrared properties of boundaries in one-dimensional quantum systems

Daniel Friedan, Anatoly Konechny

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


We present some partial results on the general infrared behaviour of bulk critical 1D quantum systems with a 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 infrared limit. We show that failure of these properties is equivalent to certain seemingly pathological behaviours 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.
Original languageEnglish
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number3
Publication statusPublished - 20 Mar 2006


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