The 2D effective field theory of interfaces derived from 3D field theory

Details The 2D effective field theory of interfaces derived from 3D field theory The 2D effective field theory of interfaces derived from 3D field theory

1995-01-23

arxiv.org/abs/hep-th/9501104v1

Nucl.Phys. B441 (1995) 562-568

Physics

High Energy Physics

High Energy Physics - Theory

latex, 9 pages, no figures

Scientific paper

10.1016/0550-3213(95)00109-6

The one--loop determinant computed around the kink solution in the 3D $\phi^4$ theory, in cylindrical geometry, allows one to obtain the partition function of the interface separating coexisting phases. The quantum fluctuations of the interface around its equilibrium position are described by a $c=1$ two--dimensional conformal field theory, namely a 2D free massless scalar field living on the interface. In this way the capillary wave model conjecture for the interface free energy in its gaussian approximation is proved.

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