1–6 Aug 2022
University of Stavanger
Europe/Oslo timezone

Energy-momentum tensor around a soliton in 1+1 dimensional $\phi^4$ model and its regularization

5 Aug 2022, 16:00
20m
AR G-202 (UiS)

AR G-202

UiS

On the first floor above the ground floor in the AR building
Parallel Talk A: Vacuum structure and confinement Parallels Track A

Speaker

Hiroaki Ito (Osaka University)

Description

It is known that 1+1 dimensional real scalar models with a negative mass squared have a soliton solution called the kink. We analyze the distribution of the energy-momentum tensor around the kink by incorporating the quantum correction up to leading order. The Fourier transform of the distribution corresponds to the gravitational form factors. We employ the collective coordinate method which deals with the soliton's coordinate as a dynamical variable. The zero mode that gives rise to the infrared divergence is eliminated in this method. The ultraviolet divergences in the quantum correction are removed by the vacuum subtraction with the prescription called the mode-number cutoff and the mass renormalization. We obtain the result consistent with the energy-momentum conservation. The spatial integral of the energy density agrees with the known result on the total energy of the soliton.

Primary author

Hiroaki Ito (Osaka University)

Co-author

Masakiyo Kitazawa (Osaka University)

Presentation materials