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.
Form-factors of exponential fields in the sine-Gordon model
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abstract
An integral representation for form-factors of exponential fields in the sine-Gordon model is proposed.
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Spontaneous symmetry breaking on graphs and lattices is controlled by the spectral dimension and generalizations of resistance distance and the Kirchhoff index.
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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.
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Spontaneous symmetry breaking on graphs and lattices
Spontaneous symmetry breaking on graphs and lattices is controlled by the spectral dimension and generalizations of resistance distance and the Kirchhoff index.