Kink scaling functions in 2D non--integrable quantum field theories

Abstract

We determine the semiclassical energy levels for the ϕ^4 field theory in the broken symmetry phase on a 2D cylindrical geometry with antiperiodic boundary conditions by quantizing the appropriate finite--volume kink solutions. The analytic form of the kink scaling functions for arbitrary size of the system allows us to describe the flow between the twisted sector of c=1 CFT in the UV region and the massive particles in the IR limit. Kink-creating operators are shown to correspond in the UV limit to disorder fields of the c=1 CFT. The problem of the finite--volume spectrum for generic 2D Landau--Ginzburg models is also discussed.

30 pages, 10 figures

References in corpus (5)

• Unified Approach to Thermodynamic Bethe Ansatz and Finite Size Corrections for Lattice Models and Field Theories
• Finite-Volume Form Factors in Semiclassical Approximation
• Semiclassical Scaling Functions of Sine--Gordon Model
• Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions
• Vacuum Structure of Two-Dimensional ${\varphi }^4$ Theory on the Orbifold $S^1/Z_2$

Cited by in corpus (14)

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• Massless fermions in multi-flavor QED_2
• Quantum mass correction for the twisted kink
• Soliton form factors from lattice simulations
• Quantization of Sine-Gordon solitons on the circle: semiclassical vs. exact results
• Quantum kink and its excitations
• The Radiative Corrections to the Mass of the Kink Using an Alternative Renormalization Program
• Quasi-doubly periodic solutions to a generalized Lame equation
• Path integral quantization of scalar fluctuations above a kink
• Semiclassical Methods in 2D QFT: Spectra and Finite-Size Effects
• Quantum Properties of Periodic Instantons on a Circle