Renormalization Group Methods (Physics)

这项数学物理研究将使用 重正化群技术来分析短和长 数学模型的距离行为有许多（和 无限）自由度。 具体议题包括 建立有效的红外渐近自由 量子电动力学中的光子相互作用，研究 二维经典系统的Kosterlitz无相位 库仑气体，检查时间依赖的解决方案 Landau-Ginsburg方程在临界点附近，建立了 作为连续极限的自由光子场 (1)计 理论与Wilson作用，进一步研究了短距离 非阿贝尔规范理论。

This research in mathematical physics will use the renormalization group technique to analyze the short and long distance behavior of mathematical models with many (and infinite) degrees of freedom. The specific topics include establishing infrared asymptotic freedom for the effective photon interaction in quantum electrodynamics, studying the Kosterlitz-Thouless phase of the two dimensional classical Coulomb gas, examining the solutions to the time-dependent Landau-Ginsburg equation near the critical point, establish the free photon field as the continuum limit for a (1) gauge theory with Wilson action, further study the short distance behavior of non-Abelian gauge theories.