Phase Structure Study of SU(2) Lattice Gauge Theory with 8 Flavors

• Main Authors: Huang, Yu-Han, 黃鈺涵
• Other Authors: Lin, Chi-Jen
• Format: Others
• Language: en_US
• Published: 2015
• Online Access: http://ndltd.ncl.edu.tw/handle/93215518371333452524

碩士 === 國立交通大學 === 物理研究所 === 103 === In this thesis, the bulk (non-thermal) phase structure of SU(2) lattice gauge theory with 8 fermion flavors in the fundamental representation is investigated. The Hybrid Monte Carlo simulations are performed with unimproved staggered fermions and the plaquette gauge action. One bulk phase transition is observed through the measurement of the plaquette. The results of cold-start and hot-start simulations, as well as the hysteresis study, indicate that this transition can be weakly first order. Further verifications, namely the studies of susceptibility and the constraint effective potential (CEP), demonstrate that the bulk transition is a crossover. Using the smeared Polyakov loops, and a method inspired by the CEP, the vacuum structure near the confining-deconfining phase transition point is analyzed. The Dirac operator eigenvalue spectrum is investigated, and the preliminary results show that there is a chiral phase transition. To clarify the properties of this transition, topological charge is measured as the first step to studying chiral Random Matrix Theory.