Finite-size corrections for logarithmic representations in critical dense polymers

Details Finite-size corrections for logarithmic representations in critical dense polymers Finite-size corrections for logarithmic representations in critical dense polymers

2011-07-11

arxiv.org/abs/1107.1979v2

Physics Letters B 711 (2012) 71-75

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, published version

Scientific paper

We study (analytic) finite-size corrections in the dense polymer model on the strip by perturbing the critical Hamiltonian with irrelevant operators belonging to the tower of the identity. We generalize the perturbation expansion to include Jordan cells, and examine whether the finite-size corrections are sensitive to the properties of indecomposable representations appearing in the conformal spectrum, in particular their indecomposability parameters. We find, at first order, that the corrections do not depend on these parameters nor even on the presence of Jordan cells. Though the corrections themselves are not universal, the ratios are universal and correctly reproduced by the conformal perturbative approach, to first order.

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