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Title: Boundary scattering in the Φ$$^{4}$$ model

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:
 [1] ; ORCiD logo [2] ;  [3] ;  [4] ;  [5]
  1. Durham Univ. (United Kingdom). Dept. of Mathematical Sciences
  2. Belarusian State Univ. (BSU), Minsk (Belarus). Dept. of Theoretical Physics and Astrophysics; Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  3. Durham Univ. (United Kingdom). Dept. of Mathematical Sciences; Deloitte MCS Limited, London (United States)
  4. Jagiellonian Univ., Krakow (Poland). Inst. of Physics
  5. 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:
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
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
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Russian Foundation for Basic Research; German Research Foundation (DFG)
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
OSTI Identifier:
1371841