Lattice study of the Kink soliton and the zero-mode problem for phi4 in two dimensions

Abstract

We study the $\lambda {\varphi }_{1+1}^4$ kink solion and the zero-mode contribution to the Kink soliton mass in regions beyond the semiclassical regime. The calculations are done in the non-trivial scaling region and where appropriate the results are compared with the continuum, semiclassical values. We show, as a function of parameter space, where the zero-mode contributions become significant.

10 pages, LaTeX; typos added

Cited by in corpus (10)

• Kinks in Discrete Light Cone Quantization
• Ab initio results for the broken phase of scalar light front field theory
• A transition in the spectrum of the topological sector of ${\varphi }_2^4$ theory at strong coupling
• Investigations in 1+1 dimensional lattice ${\varphi }^4$ theory
• Kinks in the Hartree approximation
• The Two-Loop ${\varphi }^4$ Kink Mass
• Dressing Up the Kink
• Quantum kink and its excitations
• Neural network expansion of Euclidean path integrals and its application to interacting scalar fields
• Topological charge in 1+1 dimensional lattice ${\varphi }^4$ theory