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Geometrically constrained kink-like configurations engendering long-range, double-exponential, half-compact and compact behavior

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Abstract

We describe a procedure that contributes to modify the asymptotic behavior of kinks in a model described by two real scalar fields. The investigation takes advantage of a first-order formalism based on energy minimization to unveil how to modify the asymptotic profile of kink-like configurations. In particular, we show that the exponential tails of standard kink-like configurations can be smoothly modified to engender long range, double exponential, half-compact or compact behavior.

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Acknowledgements

This work is supported by the Brazilian agency Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), grants Nos. 303469/2019-6 (DB), 306151/2022-7 (MAM) and 310994/2021-7 (RM). It is also supported by Paraiba State Research Foundation (FAPESQ-PB), grants Nos. 0003/2019 (RM) and 0015/2019 (DB and MAM).

Author information

Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-970, Brazil

    D. Bazeia

  2. Departamento de Biotecnologia, Universidade Federal da Paraíba, João Pessoa, PB, 58051-900, Brazil

    M. A. Marques

  3. Departamento de Ciências Exatas, Universidade Federal da Paraíba, Rio Tinto, PB, 58297-000, Brazil

    R. Menezes

Authors
  1. D. Bazeia
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  2. M. A. Marques
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  3. R. Menezes
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Corresponding author

Correspondence to M. A. Marques.

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Bazeia, D., Marques, M.A. & Menezes, R. Geometrically constrained kink-like configurations engendering long-range, double-exponential, half-compact and compact behavior. Eur. Phys. J. Plus 138, 735 (2023). https://doi.org/10.1140/epjp/s13360-023-04385-4

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  • DOI: https://doi.org/10.1140/epjp/s13360-023-04385-4

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