Remarks on sine-Gordon kink–fermion system: localized modes and scattering
Abstract We study numerically the kink–fermion interactions in a 1 + 1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We show that the spectrum of fermionic modes strongly depends on the choice of the coupling, in particular, there...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10707-0 |
| _version_ | 1811297404672016384 |
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| author | Vakhid A. Gani Anastasia Gorina Ilya Perapechka Yakov Shnir |
| author_facet | Vakhid A. Gani Anastasia Gorina Ilya Perapechka Yakov Shnir |
| author_sort | Vakhid A. Gani |
| collection | DOAJ |
| description | Abstract We study numerically the kink–fermion interactions in a 1 + 1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We show that the spectrum of fermionic modes strongly depends on the choice of the coupling, in particular, there are no localized modes for a minimal Yukawa coupling. We analyze the scattering of the fermionic packet by the kink. We demonstrate that the outcome of the collision dynamically depends on the phase of the incoming fermion packet, it results in alternating regimes of positive and negative acceleration of the kink. |
| first_indexed | 2024-04-13T06:03:47Z |
| format | Article |
| id | doaj.art-e27dac22dcb24352913b0427750c0eb3 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T06:03:47Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-e27dac22dcb24352913b0427750c0eb32022-12-22T02:59:21ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-08-0182811110.1140/epjc/s10052-022-10707-0Remarks on sine-Gordon kink–fermion system: localized modes and scatteringVakhid A. Gani0Anastasia Gorina1Ilya Perapechka2Yakov Shnir3Department of Mathematics, National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)Osmanağa Mahallesi Vahapbey Sokak No:8 KadiköyWargaming Vilnius, UABBLTP, JINRAbstract We study numerically the kink–fermion interactions in a 1 + 1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We show that the spectrum of fermionic modes strongly depends on the choice of the coupling, in particular, there are no localized modes for a minimal Yukawa coupling. We analyze the scattering of the fermionic packet by the kink. We demonstrate that the outcome of the collision dynamically depends on the phase of the incoming fermion packet, it results in alternating regimes of positive and negative acceleration of the kink.https://doi.org/10.1140/epjc/s10052-022-10707-0 |
| spellingShingle | Vakhid A. Gani Anastasia Gorina Ilya Perapechka Yakov Shnir Remarks on sine-Gordon kink–fermion system: localized modes and scattering European Physical Journal C: Particles and Fields |
| title | Remarks on sine-Gordon kink–fermion system: localized modes and scattering |
| title_full | Remarks on sine-Gordon kink–fermion system: localized modes and scattering |
| title_fullStr | Remarks on sine-Gordon kink–fermion system: localized modes and scattering |
| title_full_unstemmed | Remarks on sine-Gordon kink–fermion system: localized modes and scattering |
| title_short | Remarks on sine-Gordon kink–fermion system: localized modes and scattering |
| title_sort | remarks on sine gordon kink fermion system localized modes and scattering |
| url | https://doi.org/10.1140/epjc/s10052-022-10707-0 |
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