Studies on Low Dimensional QFTs

• Main Authors: Lee, Yu-Li, 栗育力
• Other Authors: Kao Yeong-Chuan
• Format: Others
• Language: zh-TW
• Published: 1997
• Online Access: http://ndltd.ncl.edu.tw/handle/42654122195825716114

博士 === 國立臺灣大學 === 物理學系 === 85 === We study some low dimensional field theoretical models. These studies are related to field theories at high temperature. In chapter one, we discussthe properties of the models we are going to study -- Topologically MassiveGauge Theories (TMGTs) and Schwinger model. In Chapter two, we discuss the difficulties people confront in perturbative analysis of finite temperaturefield theories and introduce the concept of "Hard Thermal Loop" proposed byBraaten and Pisarski. After that, we discuss the problem about the fermionmass shift due to finite temperature effect in a TMGT. In chapter three,wediscuss dimensional reduction in high temperature field theories and magneticmass. We study a model proposed by Khlebnikov and Shaposhnikov, which is related to the generation of magnetic mass. In the finial chapter, we useperturbative method to study the Schwinger boson mass in the plasma phaseof massive Schwinger model. We clarify how the chiral anomaly re-emergesat infinite temperature and compare our result with the one obtained byHosotani et al. recently.