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

Abstract

The one--loop determinant computed around the kink solution in the 3D ${\varphi }^4$ 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.

latex, 9 pages, no figures

References in corpus (3)

• Rough Interfaces Beyond the Gaussian Approximation
• Finite-Size Effects in the Interface of 3D Ising Model
• Capillary Wave Approach to Order-Order Fluid Interfaces in the 3D Three-State Potts Model

Cited by in corpus (5)

• String Effects in the Wilson Loop: a high precision numerical test
• High precision Monte Carlo simulations of interfaces in the three-dimensional Ising model: a comparison with the Nambu-Goto effective string model
• Lorentz completion of effective string (and p-brane) action
• The partition function of interfaces from the Nambu-Goto effective string theory
• Interaction effects in the spectrum of the three-dimensional Ising model