The domain wall soliton's tension.

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Title: The domain wall soliton's tension.
Authors: Evslin, Jarah1,2 (AUTHOR) jarah@impcas.ac.cn, Liu, Hui3 (AUTHOR) hui.liu@yerphi.am, Zhang, Baiyang4 (AUTHOR) byzhang@henu.edu.cn
Source: European Physical Journal C -- Particles & Fields. Jun2025, Vol. 85 Issue 6, p1-10. 10p.
Subjects: Coupling constants, Pseudopotential method, Trees
Abstract: We calculate the one-loop tension of the domain wall soliton in the ϕ 4 double-well model. Our result agrees with previous results from Dashen, Hasslacher and Neveu (1974) in 1 + 1d and Jaimunga, Semenoff and Zarembo (1999) in 2 + 1d. After an additional 25 year interval, we have obtained a one-loop tension correction of 0.0410959 m 3 in 3 + 1d. In this case, unlike lower-dimensional cases, even after normal ordering there are ultraviolet divergences that require both mass and also coupling constant renormalization. We renormalized the coupling so that the three-point interaction in the effective potential is given by its tree level value at zero external momenta. [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: The domain wall soliton's tension.
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  Data: <searchLink fieldCode="AR" term="%22Evslin%2C+Jarah%22">Evslin, Jarah</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> jarah@impcas.ac.cn</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Hui%22">Liu, Hui</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> hui.liu@yerphi.am</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Baiyang%22">Zhang, Baiyang</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> byzhang@henu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Jun2025, Vol. 85 Issue 6, p1-10. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Coupling+constants%22">Coupling constants</searchLink><br /><searchLink fieldCode="DE" term="%22Pseudopotential+method%22">Pseudopotential method</searchLink><br /><searchLink fieldCode="DE" term="%22Trees%22">Trees</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: We calculate the one-loop tension of the domain wall soliton in the ϕ 4 double-well model. Our result agrees with previous results from Dashen, Hasslacher and Neveu (1974) in 1 + 1d and Jaimunga, Semenoff and Zarembo (1999) in 2 + 1d. After an additional 25 year interval, we have obtained a one-loop tension correction of 0.0410959 m 3 in 3 + 1d. In this case, unlike lower-dimensional cases, even after normal ordering there are ultraviolet divergences that require both mass and also coupling constant renormalization. We renormalized the coupling so that the three-point interaction in the effective potential is given by its tree level value at zero external momenta. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>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.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1140/epjc/s10052-025-14383-8
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      – Code: eng
        Text: English
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      – SubjectFull: Coupling constants
        Type: general
      – SubjectFull: Pseudopotential method
        Type: general
      – SubjectFull: Trees
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      – TitleFull: The domain wall soliton's tension.
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            NameFull: Evslin, Jarah
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              M: 06
              Text: Jun2025
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              Y: 2025
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