講演題目: Dynamical Mass Growth of Fermion with Bare Mass in Two Dimensions
講師: 松山豊樹 氏 (奈良教育大学)
日時: 2022年11月15日(火) 13:00-15:00
場所: 北海道大学 工学部 物理工学系大会議室 A 1-17室
要旨:
We study dynamical mass generation of a fermion with and without a bare mass by coupling with a massive vector field in two-dimensional space-time. To estimate a non-perturbative effect on the fermion mass, we employ the Schwinger-Dyson equations in the lowest-ladder approximation, which are solved by an approximated analytical method and also by a numerical method. We define a “purely” dynamical mass as a remnant after subtracting the bare mass from a total dynamical mass. We clarify dependence of the purely dynamical mass on the bare mass of the fermion in various region of a coupling constant. Especially we find that the purely dynamical masses growing from the different bare masses coincide with each other at a specific value of the coupling constant where a kind of a “duality” relation on the bare masses is satisfied.
世話人: 丹田 聡
（北海道大学大学院工学研究院応用物理学部門）