The domain wall soliton’s tension
Abstract We calculate the one-loop tension of the domain wall soliton in the $$\phi ^4$$ 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 hav...
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SpringerOpen
2025-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14383-8 |
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| author | Jarah Evslin Hui Liu Baiyang Zhang |
| author_facet | Jarah Evslin Hui Liu Baiyang Zhang |
| author_sort | Jarah Evslin |
| collection | DOAJ |
| description | Abstract We calculate the one-loop tension of the domain wall soliton in the $$\phi ^4$$ 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 $$0.0410959m^3$$ 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. |
| format | Article |
| id | doaj-art-bb6c8fa87e1d468fa3d5c3e010d7706a |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-bb6c8fa87e1d468fa3d5c3e010d7706a2025-08-20T02:39:48ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-06-0185611010.1140/epjc/s10052-025-14383-8The domain wall soliton’s tensionJarah Evslin0Hui Liu1Baiyang Zhang2Institute of Modern PhysicsYerevan Physics InstituteInstitute of Contemporary Mathematics, School of Mathematics and Statistics, Henan UniversityAbstract We calculate the one-loop tension of the domain wall soliton in the $$\phi ^4$$ 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 $$0.0410959m^3$$ 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.https://doi.org/10.1140/epjc/s10052-025-14383-8 |
| spellingShingle | Jarah Evslin Hui Liu Baiyang Zhang The domain wall soliton’s tension European Physical Journal C: Particles and Fields |
| title | The domain wall soliton’s tension |
| title_full | The domain wall soliton’s tension |
| title_fullStr | The domain wall soliton’s tension |
| title_full_unstemmed | The domain wall soliton’s tension |
| title_short | The domain wall soliton’s tension |
| title_sort | domain wall soliton s tension |
| url | https://doi.org/10.1140/epjc/s10052-025-14383-8 |
| work_keys_str_mv | AT jarahevslin thedomainwallsolitonstension AT huiliu thedomainwallsolitonstension AT baiyangzhang thedomainwallsolitonstension AT jarahevslin domainwallsolitonstension AT huiliu domainwallsolitonstension AT baiyangzhang domainwallsolitonstension |