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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.20814 |
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| _version_ | 1866912172542525440 |
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| author | Evslin, Jarah Liu, Hui Zhang, Baiyang |
| author_facet | Evslin, Jarah Liu, Hui Zhang, Baiyang |
| contents | 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 $0.0410959m^3$ 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20814 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Domain Wall Soliton's Tension Evslin, Jarah Liu, Hui Zhang, Baiyang High Energy Physics - Theory 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 $0.0410959m^3$ 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. |
| title | The Domain Wall Soliton's Tension |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.20814 |