发表机构
Department of Physics and Astronomy, Iowa State University（爱荷华州立大学物理与天文系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出兼容哈密顿框架与欧几里得路径积分的规范场延拓方案，解决手征规范理论哈密顿构造的瓶颈，保留非微扰内容，为其哈密顿处理及量子模拟开辟途径。
AI 中文摘要
本文基于2n维手征费米子在2n+1维圆盘边界上的欧几里得形式，提出了手征规范理论（Chiral Gauge Theories, CGT）的哈密顿框架。在原始欧几里得形式中，边界规范场通过2n+1维规范场运动方程（EOM）延拓到体空间，这为哈密顿的构造造成了瓶颈。本文提出了一种替代的规范场延拓方案，该方案既兼容哈密顿框架又兼容欧几里得路径积分。将该方案应用于阿贝尔规范场时，可得到体空间场作为边界场泛函的精确表达式，能直接用于哈密顿形式。对新规范场延拓的欧几里得分析表明，其可保留原始构造的非微扰内容，包括拓扑荷的行为、相关的手征费米子零模式，以及应用于标准模型时无强CP问题。该构造为圆盘边界上手征规范理论的哈密顿处理及未来量子模拟开辟了途径。
英文摘要
I propose a Hamiltonian framework for chiral gauge theories (CGT) based on a Euclidean formulation which uses 2n dimensional chiral fermions on the boundary of a 2n+1 dimensional disk. In the original Euclidean formulation, boundary gauge fields were extended into the bulk using $2n + 1$ dimensional gauge field equations of motion (EOM) which creates a bottleneck for constructing a Hamiltonian. I present an alternate proposal for extending the gauge fields into the bulk that is compatible with both a Hamiltonian framework and a Euclidean path integral. Applying this to Abelian gauge fields produces exact expressions of interior fields as a functional of the boundary fields, which can be directly used in a Hamiltonian formulation. Euclidean analysis of the new gauge field extension shows that it can preserve the non-perturbative content of the original construction, including the behavior of topological charge, associated chiral fermion zero modes and an absence of the strong CP problem when applied to the Standard Model. This construction opens up a route to a Hamiltonian treatment and future quantum simulation of CGTs on a disk boundary.
