Abstract
We study boundary scattering in the ϕ 4 model on a half-line with a oneparameter family of Neumann-type boundary conditions. A rich variety of phenomena is observed, which extends previously-studied behaviour on the full line to include regimes of near-elastic scattering, the restoration of a missing scattering window, and the creation of a kink or oscillon through the collision-induced decay of a metastable boundary state. We also study the decay of the vibrational boundary mode, and explore different scenarios for its relaxation and for the creation of kinks.
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ESM 1
Boundary scattering H=-0.4, v=0.20 (M01_BndryScattering_Hminus040_v020.mov) (MOV 247 kb)
ESM 2
Boundary scattering H=-0.4, v=0.333=v(cr)(H) (M02_BndryScattering_Hminus040_v0333.mov) (MOV 379 kb)
ESM 3
Boundary Scattering H=-0.4, v=0.40>v(cr)(H) (M03_BndryScattering_Hminus040_v040.mov) (MOV 428 kb)
ESM 4
Boundary scattering H=0.9, v=0.35 (M04_BndryScattering_Hplus090_v035.mov) (MOV 433 kb)
ESM 5
Boundary scattering H=0.9, v=0.37 (M05_BndryScattering_Hplus090_v037.mov) (MOV 180 kb)
ESM 6
Boundary Scattering H=0.9, v=0.39 (M06_BndryScattering_Hplus090_v039.mov) (MOV 584 kb)
ESM 7
Velocity scan H=-0.4 (M07_VelocityScan_Hminus040.mov) (MOV 1880 kb)
ESM 8
Velocity scan H=-0.2 (M08_VelocityScan_Hminus020.mov) (MOV 2368 kb)
ESM 9
Velocity scan H=0 (M09_VelocityScan_H000.mov) (MOV 2940 kb)
ESM 10
Velocity scan H=0.2 (M10_VelocityScan_Hplus020.mov) (MOV 2624 kb)
ESM 11
Velocity scan H=0.90 (M11_VelocityScan_Hplus090.mov) (MOV 1179 kb)
ESM 12
Velocity scan H=0.95 (M12_VelocityScan_Hplus095.mov) (MOV 1784 kb)
ESM 13
Relaxation H=0.8393, A_0=0.3 (M13_Relaxation_Hplus08393_A030.mov) (MOV 2661 kb)
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Dorey, P., Halavanau, A., Mercer, J. et al. Boundary scattering in the ϕ 4 model. J. High Energ. Phys. 2017, 107 (2017). https://doi.org/10.1007/JHEP05(2017)107
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DOI: https://doi.org/10.1007/JHEP05(2017)107