https://doi.org/10.1140/epjc/s10052-025-14383-8
Regular Article - Theoretical Physics
The domain wall soliton’s tension
1
Institute of Modern Physics, NanChangLu 509, 730000, Lanzhou, People’s Republic of China
2
University of the Chinese Academy of Sciences, YuQuanLu 19A, 100049, Beijing, People’s Republic of China
3
Yerevan Physics Institute, 2 Alikhanyan Brothers St., 0036, Yerevan, Armenia
4
Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan University, 475004, Kaifeng, Henan, People’s Republic of China
Received:
10
April
2025
Accepted:
28
May
2025
Published online:
10
June
2025
We calculate the one-loop tension of the domain wall soliton in the 
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 
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.
© The Author(s) 2025
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