标题： 在3环面上的量子电动力学 -I 显示英文标题

标题： Quantum electrodynamics on the 3-torus -I

摘要： 我们研究三维环面量子电动力学的紫外问题。 我们从环面格点上的格点规范理论开始，并试图在格点间距趋于零时控制奇异性。 这是通过遵循一系列重正化群变换的流来实现的。 分析通过在每一步将规范场空间分成大场和小场来促进，这遵循了Balaban的方法。 在本文中，我们详细探讨了第一步。 显示英文摘要

摘要： We study the ultraviolet problem for quantum electrodynamics on a three dimensional torus. We start with the lattice gauge theory on a toroidal lattice and seek to control the singularities as the lattice spacing is taken to zero. This is done by following the flow of a sequence of renormalization group transformations. The analysis is facilitated by splitting the space of gauge fields into large and small fields at each step following Balaban. In this paper we explore the first step in detail.