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Massless Flows I: the sineGordon and O(n) models  P. Fendley
; H. Saleur
; Al. B. Zamolodchikov
;  Date: 
13 Apr 1993  Journal:  Int.J.Mod.Phys. A8 (1993) 57175750  Subject:  hepth  Abstract:  The massless flow between successive minimal models of conformal field theory is related to a flow within the sineGordon model when the coefficient of the cosine potential is imaginary. This flow is studied, partly numerically, from three different points of view. First we work out the expansion close to the KosterlitzThouless point, and obtain roaming behavior, with the central charge going up and down in between the UV and IR values of $c=1$. Next we analytically continue the Casimir energy of the massive flow (i.e. with real cosine term). Finally we consider the lattice regularization provided by the O(n) model in which massive and massless flows correspond to high and lowtemperature phases. A detailed discussion of the case $n=0$ is then given using the underlying N=2 supersymmetry, which is spontaneously broken in the lowtemperature phase. The ``index’’ $ r F(1)^F$ follows from the Painleve III differential equation, and is shown to have simple poles in this phase. These poles are interpreted as occuring from level crossing (onedimensional phase transitions for polymers). As an application, new exact results for the connectivity constants of polymer graphs on cylinders are obtained.  Source:  arXiv, hepth/9304050  Services:  Forum  Review  PDF  Favorites 


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