On the Universality of Certain Non-Renormalizable Contributions in Two-Dimensional Quantum Field Theory

Abstract

We consider the question of removing the ultraviolet cutoff in a 2D Quantum Field Theory with an interaction term which is non-renormalizable by power counting. This model arises as the first non-trivial correction beyond the Gaussian approximation of the so called Capillary Wave or Drumhead Model, and is rather important from a physical point of view since it correctly describes the finite size effects of two-dimensional interfaces. Despite the fact that the interaction is non-renormalizable, we prove that for a large class of regularization schemes the finite and divergent parts can be separated in a simple way. Furthermore, the finite part is independent of the choice of cutoff prescription used.

arXiv comment12 pages, LaTeX file, 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 (6)

• High precision Monte Carlo simulations of interfaces in the three-dimensional Ising model: a comparison with the Nambu-Goto effective string model
• String effects in Polyakov loop correlators
• The interface free energy: Comparison of accurate Monte Carlo results for the 3D Ising model with effective interface models
• The partition function of interfaces from the Nambu-Goto effective string theory
• Sampling the lattice Nambu-Goto string using Continuous Normalizing Flows
• Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems