Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
Non-integrable aspects of the multi-frequency Sine-Gordon model
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We consider the two-dimensional quantum field theory of a scalar field self-interacting via two periodic terms of frequencies $\alpha$ and $\beta$. Looking at the theory as a perturbed Sine-Gordon model, we use Form Factor Perturbation Theory to analyse the evolution of the spectrum of particle excitations. We show how, within this formalism, the non-locality of the perturbation with respect to the solitons is responsible for their confinement in the perturbed theory. The effects of the frequency ratio $\alpha/\beta$ being a rational or irrational number and the occurrence of massless flows from the gaussian to the Ising fixed point are also discussed. A generalisation of the Ashkin-Teller model and the massive Schwinger model are presented as examples of application of the formalism.
citation-role summary
background 1
citation-polarity summary
roles
background 1polarities
background 1representative citing papers
Perturbative study of the three-state Potts model reveals hybridization of kink excitations with bound states and analytic post-quench evolution that matches numerical simulations.
Abelian 2d gauge theories show rich phase structure with c=1 and c=1/2 critical lines; chiral versions realize symmetric mass generation for fermions.
citing papers explorer
-
The two-flavor Schwinger model at 50: Solving Coleman's puzzles
Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
-
Confinement in the three-state Potts quantum spin chain in extreme ferromagnetic limit
Perturbative study of the three-state Potts model reveals hybridization of kink excitations with bound states and analytic post-quench evolution that matches numerical simulations.
-
Phases of 2d Gauge Theories and Symmetric Mass Generation
Abelian 2d gauge theories show rich phase structure with c=1 and c=1/2 critical lines; chiral versions realize symmetric mass generation for fermions.