Kinks bounded by fermions

Ilya Perapechka (Department of Theoretical Physics and Astrophysics, BSU, Minsk 220004, Belarus) ; Yakov Shnir (BLTP, JINR, Dubna 141980, Moscow Region, Russia; Department of Theoretical Physics, Tomsk State Pedagogical University, Tomsk 634061, Russia)

We present and study a new mechanism of interaction between solitons based on the exchange interaction mediated by the localized fermion states. As particular examples, we consider solutions of simple (1+1)-dimensional scalar field theories with self-interaction potentials, including the sine-Gordon model and the polynomial ϕ4 and ϕ6 models, coupled to the Dirac fermions with a backreaction. We discover that there is an additional fermion exchange interaction between the solitons, and it leads to the formation of static multisoliton bound states. Furthermore, we argue that similar mechanisms of formation of stable coupled multisoliton configurations can be observed for a wide class of physical systems.

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      "source": "APS", 
      "value": "We present and study a new mechanism of interaction between solitons based on the exchange interaction mediated by the localized fermion states. As particular examples, we consider solutions of simple (<math><mrow><mn>1</mn><mo>+</mo><mn>1</mn></mrow></math>)-dimensional scalar field theories with self-interaction potentials, including the sine-Gordon model and the polynomial <math><msup><mi>\u03d5</mi><mn>4</mn></msup></math> and <math><msup><mi>\u03d5</mi><mn>6</mn></msup></math> models, coupled to the Dirac fermions with a backreaction. We discover that there is an additional fermion exchange interaction between the solitons, and it leads to the formation of static multisoliton bound states. Furthermore, we argue that similar mechanisms of formation of stable coupled multisoliton configurations can be observed for a wide class of physical systems."
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Published on:
28 January 2020
Publisher:
APS
Published in:
Physical Review D , Volume 101 (2020)
Issue 2
DOI:
https://doi.org/10.1103/PhysRevD.101.021701
arXiv:
1910.09866
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: