论文标题
$κ$ -Minkowski空间上的仪表理论模型:结果和前景
Gauge theory models on $κ$-Minkowski space: Results and prospects
论文作者
论文摘要
评论和评论以$κ$ -Minkowski空间上的$κ$-Poincaré不变仪理论获得的最新结果。 Weyl量化程序可以应用于卷积代数以推导便捷的星级产品。对于这样的恒星产品,根据曲率仅存在于5个维度,规范多项式作用的功能不变。相应的非交通差分结石和相关连接与与仪表不变性相关的BRST结构一起扭曲。评论了一个额外维度的存在引起的现象学后果。讨论了不进行一环tad在BRST量规限制时出现的某些后果。
Recent results obtained in $κ$-Poincaré invariant gauge theories on $κ$-Minkowski space are reviewed and commented. A Weyl quantization procedure can be applied to convolution algebras to derive a convenient star product. For such a star product, gauge invariant polynomial action functional depending on the curvature exists only in 5 dimensions. The corresponding noncommutative differential calculus and the related connection are twisted together with the BRST structure linked to the gauge invariance. Phenomenological consequences stemming from the existence of one extra dimension are commented. Some consequences of the appearance of a non-vanishing one-loop tadpole upon BRST gauge-fixing are discussed.