在本計劃中,我們將探討規範理論中規範無關之重加化。這是基本粒子物理與場論 中一個理論性的議題,對規範理論非微擾性質的瞭解具有根本的重要性。我們尤其將對高溫 規範理論中,費米子型準粒子極點的規範相關性,以及在外加強磁場中,手徵對稱破壞之規 範無關處理方法,進行深入且詳細地研究。預期完成之研究成果,在超相對論性重離子碰 撞、強磁化緊密星體之天文物理、及早期宇宙論的現象學應用上,將極為重要。我們也 預期本計劃,對於需要瞭解規範理論非微擾性質的其他物理領域,將產生廣泛的影響。同時 本計劃,對於對基本粒子物理與場論感興趣的研究生,能提昇其發展。 The proposed research in elementary particle physics and field theory deals with the theoretical issue of gauge independent resummation in gauge theories, which is of fundamental importance in understanding the nonperturbative nature of gauge theories. In particular, the gauge dependence of the fermion quasiparticle poles in high temperature gauge theories as well as the gauge independence approach to chiral symmetry breaking in a strong external magnetic field will be studied in detail. Results to be obtained are essential to phenomenological applications in ultrarelativistic heavy ion collisions, astrophysics of strongly magnetized compact stars and early universe cosmology. We expect that the proposed research will have a broad impact in other areas of physics that also require a nonperturbative understanding of gauge theories. The supported project also promotes the development of graduate students interested in elementary particle physics and field theory.