Boundary scattering in the Φ$$^{4}$$ model
Abstract
Here, we study boundary scattering in the $$\phi^4$$ model on a half-line with a one-parameter 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.
- Authors:
-
[2];
- Durham Univ. (United Kingdom). Dept. of Mathematical Sciences
- Belarusian State Univ. (BSU), Minsk (Belarus). Dept. of Theoretical Physics and Astrophysics; Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Durham Univ. (United Kingdom). Dept. of Mathematical Sciences; Deloitte MCS Limited, London (United States)
- Jagiellonian Univ., Krakow (Poland). Inst. of Physics
- Belarusian State Univ. (BSU), Minsk (Belarus). Dept. of Theoretical Physics and Astrophysics; Joint Inst. for Nuclear Research (JINR), Dubna (Russian Federation). Bogoliubov Lab. of Theoretical Physics (BLTP); Oldenburg Univ. (Germany). Inst. of Physics
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Russian Foundation for Basic Research; German Research Foundation (DFG)
- OSTI Identifier:
- 1371841
- Report Number(s):
- DCPT-15-51; arXiv:1508.02329; FERMILAB-PUB-17-227-APC
Journal ID: ISSN 1029-8479; 1387352
- Grant/Contract Number:
- AC02-07CH11359; ST/L000407/1; 317089; 16-52 -12012; LE 838/12-2
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Lower Dimensions; Nonperturbative Effects; Solitons Monopoles and Instantons
Citation Formats
Dorey, Patrick, Halavanau, Aliaksei, Mercer, James, Romanczukiewicz, Tomasz, and Shnir, Yasha. Boundary scattering in the Φ$^{4}$ model. United States: N. p., 2017.
Web. doi:10.1007/JHEP05(2017)107.
Dorey, Patrick, Halavanau, Aliaksei, Mercer, James, Romanczukiewicz, Tomasz, & Shnir, Yasha. Boundary scattering in the Φ$^{4}$ model. United States. https://doi.org/10.1007/JHEP05(2017)107
Dorey, Patrick, Halavanau, Aliaksei, Mercer, James, Romanczukiewicz, Tomasz, and Shnir, Yasha. Fri .
"Boundary scattering in the Φ$^{4}$ model". United States. https://doi.org/10.1007/JHEP05(2017)107. https://www.osti.gov/servlets/purl/1371841.
@article{osti_1371841,
title = {Boundary scattering in the Φ$^{4}$ model},
author = {Dorey, Patrick and Halavanau, Aliaksei and Mercer, James and Romanczukiewicz, Tomasz and Shnir, Yasha},
abstractNote = {Here, we study boundary scattering in the $\phi^4$ model on a half-line with a one-parameter 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.},
doi = {10.1007/JHEP05(2017)107},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {Fri May 19 00:00:00 EDT 2017},
month = {Fri May 19 00:00:00 EDT 2017}
}
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Works referencing / citing this record:
Some Recent Developments on Kink Collisions and Related Topics
book, January 2019
- Romańczukiewicz, Tomasz; Shnir, Yakov
- A Dynamical Perspective on the ɸ4 Model
Solvable self-dual impurity models
journal, July 2019
- Adam, C.; Oles, K.; Queiruga, J. M.
- Journal of High Energy Physics, Vol. 2019, Issue 7
False vacuum decay in kink scattering
journal, October 2018
- Gomes, Adalto R.; Simas, F. C.; Nobrega, K. Z.
- Journal of High Energy Physics, Vol. 2018, Issue 10
Scattering of the double sine-Gordon kinks
journal, April 2018
- Gani, Vakhid A.; Marjaneh, Aliakbar Moradi; Askari, Alidad
- The European Physical Journal C, Vol. 78, Issue 4
Scattering of kinks of the sinh-deformed $$\varphi ^4$$ φ 4 model
journal, April 2018
- Bazeia, Dionisio; Belendryasova, Ekaterina; Gani, Vakhid A.
- The European Physical Journal C, Vol. 78, Issue 4
Solvable self-dual impurity models
text, January 2019
- Adam, C.; Oles, K.; Queiruga, Jose M.
- Karlsruhe
Scattering of the double sine-Gordon kinks
text, January 2017
- Gani, Vakhid A.; Marjaneh, Aliakbar Moradi; Askari, Alidad
- arXiv