论文标题
手性相互作用的三种方法
Three approaches to chiral form interactions
论文作者
论文摘要
我们简要审查并批判性地比较了与明显的Lorentz不变性建造Lagrangian自我互动Abelian手性形式领域的三种方法。第一种方法依赖于Pasti，Sorokin和Tonin（PST）的原始思想，并自1990年代后期以来就进行了探索。第二种方法是由Ashoke Sen在2015年引入的。在过去的几年中，第三种方法是在现任作者和其他合作者的作品中开发的，并且可能被称为“克隆场”形式主义，因为它具有仪表场领域的辅助“克隆”。我们认为，最后一种方法分享了其他两个方法的吸引力，同时避免了各自的缺点。像森的方法一样，在克隆场形式主义中，任意相互作用可以直接包含在任何数量的维度中（在PST形式上，在大于6的维度中，在PST形式上的相互作用变得非常困难）。像在PST方法中一样，所有辅助领域都被排列了（在Sen的方法中，它们只是将其与物理领域脱离，但仍然是动态的）。
We briefly review and critically compare three approaches to constructing Lagrangian theories of self-interacting Abelian chiral form fields with manifest Lorentz invariance. The first approach relies on the original ideas of Pasti, Sorokin, and Tonin (PST) and has been explored since the late 1990s. The second approach was introduced by Ashoke Sen in 2015. The third approach has been developed over the last few years in the works of the present authors and other collaborators and may be called the 'clone field' formalism since it features an auxiliary 'clone' of the gauge field sector. We argue that this last approach shares the attractive features of the other two while avoiding their respective shortcomings. Like in Sen's approach, within the clone field formalism, arbitrary interactions can be straightforwardly included in any number of dimensions (treating interactions becomes very difficult in the PST formalism in dimensions greater than 6). Like in the PST approach, all the auxiliary fields are gauged away on-shell (while in Sen's approach, they merely decouple from the physical fields but remain dynamical).
