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Bogomol'nyi equations for Dirac–Born–Infeld cosmic string.

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Title: Bogomol'nyi equations for Dirac–Born–Infeld cosmic string.
Authors: Ramadhan, H. S.1 (AUTHOR) hramad@sci.ui.ac.id, Athaullah, M. Naufal1 (AUTHOR) m.naufal14@ui.ac.id, Prasetyo, I.2 (AUTHOR) ilham.prasetyo@sampoernauniversity.ac.id
Source: European Physical Journal C -- Particles & Fields. Dec2025, Vol. 85 Issue 12, p1-12. 12p.
Subjects: Cosmic strings, Sine-Gordon equation, Tensor algebra, String theory, Mathematical physics
Abstract: We revisit the question of whether Dirac–Born–Infeld (DBI) cosmic strings can admit Bogomol'nyi–Prasad–Sommerfield (BPS) configurations. Earlier work by Babichev et al. concluded that DBI strings with the standard Mexican-hat potential possess no BPS limit, implying an unavoidable nonzero binding energy. In contrast, using the BPS Lagrangian method, we show that DBI strings do admit BPS solutions, provided the potential is chosen self-consistently. Imposing the existence of Bogomol'nyi equations uniquely determines the admissible potential and yields exact first-order BPS equations for DBI vortices. We independently verify the consistency of these equations using the stressless (vanishing-pressure) condition on the energy–momentum tensor. The resulting solutions saturate the Bogomol'nyi bound, exhibit zero binding energy, and smoothly recover the Nielsen–Olesen string in the limit α → 0 . Regularity of the gauge-field equation requires α < π 2 . A notable outcome of the construction is that the BPS-compatible potential takes a trigonometric form closely related to the sine–Gordon potential, revealing a natural correspondence between the sine–Gordon string and the BPS DBI string. The BPS tension scales linearly with the winding number n but acquires an α -dependent deformation. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Bogomol&#39;nyi equations for Dirac–Born–Infeld cosmic string.
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  Data: We revisit the question of whether Dirac–Born–Infeld (DBI) cosmic strings can admit Bogomol&#39;nyi–Prasad–Sommerfield (BPS) configurations. Earlier work by Babichev et al. concluded that DBI strings with the standard Mexican-hat potential possess no BPS limit, implying an unavoidable nonzero binding energy. In contrast, using the BPS Lagrangian method, we show that DBI strings do admit BPS solutions, provided the potential is chosen self-consistently. Imposing the existence of Bogomol&#39;nyi equations uniquely determines the admissible potential and yields exact first-order BPS equations for DBI vortices. We independently verify the consistency of these equations using the stressless (vanishing-pressure) condition on the energy–momentum tensor. The resulting solutions saturate the Bogomol&#39;nyi bound, exhibit zero binding energy, and smoothly recover the Nielsen–Olesen string in the limit α → 0 . Regularity of the gauge-field equation requires α &lt; π 2 . A notable outcome of the construction is that the BPS-compatible potential takes a trigonometric form closely related to the sine–Gordon potential, revealing a natural correspondence between the sine–Gordon string and the BPS DBI string. The BPS tension scales linearly with the winding number n but acquires an α -dependent deformation. [ABSTRACT FROM AUTHOR]
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  Data: &lt;i&gt;Copyright of European Physical Journal C -- Particles &amp; Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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        Type: general
      – SubjectFull: Sine-Gordon equation
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      – SubjectFull: Tensor algebra
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      – SubjectFull: String theory
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      – SubjectFull: Mathematical physics
        Type: general
    Titles:
      – TitleFull: Bogomol'nyi equations for Dirac–Born–Infeld cosmic string.
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            NameFull: Ramadhan, H. S.
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              M: 12
              Text: Dec2025
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              Y: 2025
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