2024/12/30 by Jarah Evslin, Hui Liu, Evslin, Jarah +3 · 1 citation
Engineering · #Vibration and Dynamic Analysis #Dynamics and Control of Mechanical Systems #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.2412.20814
We calculate the one-loop tension of the domain wall soliton in the ϕ4 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 0.0410959m3 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.