格点上具有精确规范不变性的Glashow-Weinberg-Salam模型的构造
A construction of the Glashow-Weinberg-Salam model on the lattice with exact gauge invariance
摘要：
基于格点Dirac算子满足Ginsparg-Wilson关系，我们给出了格点上Glashow-Weinberg-Salam模型的规范不变和非微扰构造.我们的构造覆盖了所有U（1）磁通量为零的SU（2）拓扑扇区，并可用于重子数不守恒的描述。在无限体积中，它提供了一个规范不变的正则化的电弱理论的所有订单的微扰论。首先，我们给出了重构定理，该定理认为，如果存在一组满足某些性质的局域流，就有可能重构出光滑地依赖于规范场并满足局域性、规范不变性和格点对称性等基本要求的费米子测度。然后，我们给出了重建定理所需的局部电流的封闭公式。
英文摘要：
We present a gauge-invariant and non-perturbative construction of the Glashow-Weinberg-Salam model on the lattice, based on the lattice Dirac operator satisfying the Ginsparg-Wilson relation. Our construction covers all SU(2) topological sectors with vanishing U(1) magnetic flux and would be usable for a description of the baryon number non-conservation. In infinite volume, it provides a gauge-invariant regularization of the electroweak theory to all orders of perturbation theory. First we formulate the reconstruction theorem which asserts that if there exists a set of local currents satisfying cetain properties, it is possible to reconstruct the fermion measure which depends smoothly on the gauge fields and fulfills the fundamental requirements such as locality, gauge-invariance and lattice symmetries. Then we give a closed formula of the local currents required for the reconstruction theorem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
