Radial marginal perturbation of two-dimensional systems and conformal invariance

Details Radial marginal perturbation of two-dimensional systems and conformal invariance Radial marginal perturbation of two-dimensional systems and conformal invariance

2001-06-29

arxiv.org/abs/cond-mat/0106629v1

Phys. Rev. B 44 (1991) 7051

Physics

Condensed Matter

Statistical Mechanics

Old paper, for archiving. 3 pages, RevTeX

Scientific paper

10.1103/PhysRevB.44.7051

The conformal mapping w=(L/2\pi)\ln z transforms the critical plane with a radial perturbation \alpha\rho^{-y} into a cylinder with width L and a constant deviation \alpha(2\pi/L)^y from the bulk critical point when the decay exponent y is such that the perturbation is marginal. From the known behavior of the homogeneous off-critical system on the cylinder, one may deduce the correlation functions and defect exponents on the perturbed plane. The results are supported by an exact solution for the Gaussian model.

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