Quantum kink and its excitations

Abstract

We show how detailed properties of a kink in quantum field theory can be extracted from field correlation functions. This makes it possible to study quantum kinks in a fully non-perturbative way using Monte Carlo simulations. We demonstrate this by calculating the kink mass as well as the spectrum and approximate wave functions of its excitations. This way of measuring the kink mass has clear advantages over the existing approaches based on creation and annihilation operators or the kink free energy. Our methods are straightforward to generalise to more realistic theories and other defect types.

21 pages, 11 figures, v2: typos corrected, references added

References in corpus (10)

• 4D Gravity on a Brane in 5D Minkowski Space
• Gravitational wave stochastic background from cosmic (super)strings
• Fitting CMB data with cosmic strings and inflation
• The partition function of interfaces from the Nambu-Goto effective string theory
• Casimir scaling of domain wall tensions in the deconfined phase of D=3+1 SU(N) gauge theories
• Mass of a quantum 't Hooft-Polyakov monopole
• Kink scaling functions in 2D non--integrable quantum field theories
• Reconstruction of field theory from excitation spectra of defects
• The particle spectrum of the Tricritical Ising Model with spin reversal symmetric perturbations
• Correlations around an interface

Cited by in corpus (5)

• Green's function method for handling radiative effects on false vacuum decay
• Soliton form factors from lattice simulations
• Nonperturbative study of the 't Hooft-Polyakov monopole form factors
• 't Hooft-Polyakov monopoles in lattice SU(N)+adjoint Higgs theory
• Topological Defects in Quantum Field Theory with Matrix Product States