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.
Bootstrapping Massive Quantum Field Theories,
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The Veneziano amplitude is the unique outcome of an analytic dual bootstrap from dispersive sum rules, unitarity, and either string monodromy or splitting and hidden-zero conditions.
Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.
citing papers explorer
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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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Analytic Bootstrap of the Veneziano Amplitude
The Veneziano amplitude is the unique outcome of an analytic dual bootstrap from dispersive sum rules, unitarity, and either string monodromy or splitting and hidden-zero conditions.
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Positivity with Long-Range Interactions
Defines IR-finite amplitudes M_E that preserve analyticity and unitarity to derive positivity bounds on EFTs including electromagnetism and gravity in D=4.