Kinks in Finite Volume

Abstract

A (1+1)-dimensional quantum field theory with a degenerate vacuum (in infinite volume) can contain particles, known as kinks, which interpolate between different vacua and have nontrivial restrictions on their multi-particle Hilbert space. Assuming such a theory to be integrable, we show how to calculate the multi-kink energy levels in finite volume given its factorizable $S$-matrix. In massive theories this can be done exactly up to contributions due to off-shell and tunneling effects that fall off exponentially with volume. As a first application we compare our analytical predictions for the kink scattering theories conjectured to describe the subleading thermal and magnetic perturbations of the tricritical Ising model with numerical results from the truncated conformal space approach. In particular, for the subleading magnetic perturbation our results allow us to decide between the two different $S$-matrices proposed by Smirnov and Zamolodchikov.

48/28 pages + 10 figs, 4 in pictex, the rest in postscript files attached at the end

References in corpus (4)

• Scattering and Thermodynamics of Fractionally-Charged Supersymmetric Solitons
• Scattering and Thermodynamics of Integrable N=2 Theories
• Rg Flows in the $D$-Series of Minimal Cfts
• RG flows of non-diagonal minimal models perturbed by ${\varphi }_{1,3}$

Cited by in corpus (21)

• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• The renormalisation group for the truncated conformal space approach on the cylinder
• The k-folded sine-Gordon model in finite volume
• On the renormalisation group for the boundary Truncated Conformal Space Approach
• Quantum Affine Symmetry as Generalized Supersymmetry
• Exact finite size spectrum in super sine-Gordon model
• Non-unitarity in quantum affine Toda theory and perturbed conformal field theory
• On the Scaling Limit of the 1D Hubbard Model at Half Filling
• Supersymmetry in the boundary tricritical Ising field theory
• The generalized multi-channel Kondo model: Thermodynamics and fusion equations
• A study of truncation effects in boundary flows of the Ising model on a strip
• Effective potentials and kink spectra in non-integrable perturbed conformal field theories
• TBA boundary flows in the tricritical Ising field theory
• RSOS revisited
• Finite temperature expectation values of boundary operators
• Thermodynamic Bethe Ansatz for the subleading magnetic perturbation of the tricritical Ising model
• Ising tricriticality and the dilute A${}_3$ model
• Investigations in Two-Dimensional Quantum Field Theory by the Bootstrap and TCSA Methods
• Sine-Gordon Theory with Higher Spin $N=2$ Supersymmetry and the Massless Limit
• Finite volume analysis of scattering theory in the scaling Potts model
• Boundary reflection matrices of massive ${\varphi }_{1,3}$-perturbed unitary minimal models