The Strength of small instanton amplitudes in gauge theories with compact extra dimensions
The Strength of small instanton amplitudes in gauge theories with compact extra dimensions
复制标题
紧额外维规范理论中小瞬子振幅的强度
DOI：
10.1088/1126-6708/2002/07/041
复制
发表时间：
2002
影响因子：
5.4
通讯作者：
Y. Shirman
中科院分区：
文献类型：
--
作者：
E. Poppitz;Y. Shirman
我们研究的理论与紧凑的额外维度的瞬子效应。我们在半径为R的圆上用5d理论进行了瞬子计算，其中规范场、标量场和费米子场位于额外维度的大部分。我们表明，取决于物质的含量，大小ρ << R的瞬子可以主导振幅。使用解构作为该理论的紫外线定义，我们可以在受控近似下证明，对于少量的体费米子，小尺寸瞬子的振幅以指数方式增长为eScript O（1）R/ρ。
We study instanton effects in theories with compact extra dimensions. We perform an instanton calculation in a 5d theory on a circle of radius R, with gauge, scalar, and fermion fields in the bulk of the extra dimension. We show that, depending on the matter content, instantons of size ρ << R can dominate the amplitude. Using deconstruction as an ultraviolet definition of the theory allows us to show, in a controlled approximation, that for a small number of bulk fermions, the amplitude for small size instantons exponentially grows as eScript O(1)R/ρ.