非微扰真空与有效拉氏量

This project focuses on two topics of non-perturbative vacuum and effective Lagrangian. For non-perturbative vacuum, in the strong interaction region, we discuss Vafa-Witten theorem and its possible extention to more general spontaneous symmetry breaking in quantum field theory; in the electroweak interaction and new physics beyond standard model region, we make our effort to understand the meta-stability of the electroweak vacuum and study its possible physical implications. For effective Lagrangian, in the strong interaction region, we will improve the QCD first principle computational precision for the coefficients of pseudo-scalar meson effective chiral Lagrangian, try to include in more hadron fields into our conventional calculation formalism for pseudo-scalar meson field; in the electroweak interaction and new physics region, we will base effective Lagrangian to investigate possible new physics.

本项目选择非微扰真空和有效拉氏量两个研究目标。针对非微扰真空，在强作用领域研究Vafa-Witten定理及其引申的量子场论的自发破缺问题，在电弱作用和新物理领域探讨电弱真空亚稳定性的涵义及其可能的物理结果。针对有效拉氏量，在强作用领域主要改进我们以往从QCD第一原理计算赝标介子有效拉氏量系数的精度，尝试构造超出赝标介子包含更多强子的有效拉氏量，在电弱作用和新物理领域以有效理论为基础探讨可能的新物理。

本项目研究非微扰真空和有效拉氏量，特别强作用理论QCD的真空及其导致的有效理论。.我们从QCD基本生成泛函严格转化出的另类路径积分表达形式出发，研究了动力学手征对称性自发破缺的超出彩虹近似的修正，提供了一套对QCD的非微扰的SDE和BSE的系统自洽的截断方式，改进计算方法更新了以往对赝标介子手征有效拉氏量中准到次次领头阶的低能常数的计算，把从QCD第一原理严格的到赝标介子手征有效拉氏量的推导推广到一般的介子和重子。在新物理方面探讨了减缓暗物质直接探测中不同实验之间矛盾的机制，研究了由高维轻子数破坏算符导致的中微子质量与暗物质之间的关联。