Kink scattering in a generalized Wess-Zumino model

Alonso-Izquierdo, A.; Leon, M. A. Gonzalez; Vaquero, J. Martin; Mayado, M. de la Torre

doi:10.48550/arxiv.2105.05750

Cited by 2 publications

(2 citation statements)

References 66 publications

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“…An interesting question is the existence of spectral walls in two scalar models which are not BPS theories, i.e., completely generic field theories in (1+1) dimensions, which of course have an even broader range of applications, see e.g., [8], [31]- [39]. Here, again, the recent results obtained in the framework of the BPS impurity models can give us a hint.…”

Section: Discussionmentioning

confidence: 92%

Spectral walls in multifield kink dynamics

Adam,

Oles,

Romanczukiewicz

et al. 2021

Preprint

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We show that spectral walls are common phenomena in the dynamics of kinks in (1+1) dimensions. They occur in models based on two or more scalar fields with a nonempty Bogomol'nyi-Prasam-Sommerfield (BPS) sector, hosting two zero modes, where they are one of the main factors governing the soliton dynamics. We also show that spectral walls appear as singularities of the dynamical vibrational moduli space. I. INTRODUCTIONDespite their prevalence in many physical systems, there is no satisfactory understanding of interactions of topological solitons in generic, non-integrable models. Even in the φ 4 model in (1+1) dimensions, which is probably the simplest, prototypic theory with topological kinks, there is no quantitative explanation of the involved, chaotic pattern of final state formation in kinkantikink collisions, like soliton annihilation or their backscattering after several bounces, although a significant role of the normal modes has been conjectured [1]. There are, in fact, three qualitatively distinct ways in which solitons can interact. First of all, depending on their topological charge and relative orientation, solitons attract or repel each other, deforming their shapes. Secondly, most solitons carry internal degrees of freedom (DoF), i.e., normal modes, which can be easily excited during collisions. The transfer of energy from the kinetic to the internal DoF can further complicate the soliton dynamics. Finally, solitons couple to radiation which also may lead to the appearance of important phenomena (like, e.g., negative radiation pressure). All these factors contribute to the fascinating complexity of solitonic interactions.A common strategy which may provide further insight into the complicated dynamics of solitonic collisions is to reduce the full field theory (a system of partial differential equations with infinitely many DoF) to a mechanical like system with a finite number of DoF, which evolve via ordinary differential equations [2]. These reduced effective DoF, called moduli, span a subset of field configurations which should capture the main aspects of the dynamics. Of course, one of the main issues is to identify the proper moduli. A natural and simply guess is to consider the lightest

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Section: Discussionmentioning

confidence: 92%

Spectral walls in multifield kink dynamics

Adam,

Oles,

Romanczukiewicz

et al. 2021

Preprint

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“…One of the most important experimental realizations of fermion-kink systems appears in polymers, where fractional quantum numbers are observed [38]. There have been many advances in the analysis of scattering behavior of generalizations of kinks and lumps in systems with multiple scalar fields [39][40][41][42]. However, not many works discuss the addition of fermions in kink-antikink collisions.…”

Section: Introductionmentioning

confidence: 99%

Resonance mediated by fermions in kink-antikink collisions

Bazeia

Campos

Mohammadi

2022

J. High Energ. Phys.

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We investigate generalizations of the ϕ4 and sine-Gordon models, including interactions with Dirac Fermions. We observe new resonance phenomena by taking the fermion back-reaction into account. First, we show that the vibrational mode responsible for the resonance structure of the ϕ4 model has the same frequency as the energy of the fermion excited state when the back-reaction becomes more significant. Second, we consider the sine-Gordon model with the addition of a fermion field and find that a resonant structure appears, despite the absence of a scalar vibrational mode. The vibrational frequency of the mode responsible for the exchange mechanism is again the energy of the fermion excited state. Therefore, we find a new type of resonant energy exchange mechanism which is mediated by fermions.

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Kink scattering in a generalized Wess-Zumino model

Cited by 2 publications

References 66 publications

Spectral walls in multifield kink dynamics

Spectral walls in multifield kink dynamics

Resonance mediated by fermions in kink-antikink collisions

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