| Summary: | 碩士 === 國立臺灣大學 === 物理研究所 === 102 === Quantum chromodynamics (QCD) is the fundamental theory for the interaction between quarks and gluons. At zero temperature, the chiral symmetry of N_f massless quarks is broken by the vacuum of QCD, and the axial U(1) symmetry is broken by the axial anomaly. It is expected that the chiral symmetry and the axial U(1) symmetry both are restored at high temperature. In this thesis, we study the restorations of the chiral symmetry and the axial U(1) symmetry in the effective field theory of QCD, namely, the SU(N_f)_L x SU(N_f)_R linear σ model for N_f = 2, by computing the β functions of all couplings to the one-loop order.
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