Extended multi-scalar field theories in $$(1+1)$$ dimensions

Aguirre, A. R.; Souza, Emanuel

doi:10.1140/epjc/s10052-020-08724-y

Cited by 3 publications

(2 citation statements)

References 58 publications

(137 reference statements)

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“…Hence, we expect that thin spectral walls will have a great impact on the scattering processes in already known BPS systems of two real scalars in (1+1) dimensions. Here we mention the Montonen-Sarker-Trullinger-Bishop model [15]- [16] and its generalizations [17]- [18], two-component models arising in a Wess-Zumino model [19]- [22], the BPS models studied in [23]- [25] as well as models with a dielectric type coupling [26] or other multiple scalar field theories [27]- [30].…”

Section: Discussionmentioning

confidence: 99%

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: 99%

Spectral walls in multifield kink dynamics

Adam,

Oles,

Romanczukiewicz

et al. 2021

Preprint

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“…These exotic features are attributed to the excitation of internal modes and explained by the resonant energy exchange between translational (or zero) and vibrational modes. Furthermore, kinks and their dynamics have been studied in various nonintegrable single-field models [17][18][19][20][21][22][23][24][25][26][27][28][29] and multifield models [30][31][32][33][34][35][36][37][38][39][40][41]. In particular, the multifield models show complex and plentiful kink dynamics due to the additional degree of freedom.…”

Section: Introductionmentioning

confidence: 99%

Collision, mechanism, and $Z_4$ operation among chiral and nonchiral kinks in coupled double-field $ϕ^4$ model

Choi,

Han,

Kang

et al. 2021

Preprint

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In this work, we investigate collision processes and their mechanism among chiral and nonchiral kinks in the coupled double-field φ 4 model, and show that the kink collisions follow the Z 4 abelian group operation. Unlike the single-field φ 4 model, this model has twelve kinks, which are classified into chiral and nonchiral kinks depending on their topological chiral charges. This enriches the variety of the collision processes. From the numerical simulation, we observe three kinds of collisions depending on the initial configuration and initial velocities of colliding kinks. During a collision, the topological chiral charges of kinks switch while preserving the Z 4 abelian group operation. To understand the collision and chirality switching mechanism, we investigate the detailed collision process, energy densities, the field gradients, internal modes, energy exchange between two fields, coherent vibration of two bions located in different fields, and the orbits of colliding kinks in the two-dimensional field space.

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