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arXiv · 2412.20814

The Domain Wall Soliton's Tension

Jarah Evslin·Hui Liu·Baiyang Zhang
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Abstract

We calculate the one-loop tension of the domain wall soliton in the $\phi^4$ 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.

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Jarah Evslin, Hui Liu, Baiyang Zhang. 2024-12-30. The Domain Wall Soliton's Tension. https://arxiv.org/abs/2412.20814

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