论文标题
散射幅度和拓扑大规模理论中的双复制
Scattering Amplitudes and the Double Copy in Topologically Massive Theories
论文作者
论文摘要
使用现代散射幅度计划的原理,我们开发了一种形式主义,用于构建三维拓扑庞大的仪表理论和重力的幅度。受到四个维度的最新发展的启发,我们构建了三维等效的$ x $变量,用于保守的物质电流,并与拓扑上的大量仪表或重力座相连。使用这些,我们引导各种物质耦合的量规主理论和引力散射幅度,并猜想拓扑质量庞大的仪表理论和拓扑上的重力与双拷贝相关。为了进一步激励这个想法,我们明确地表明,仪表理论方面的Landau量规传播器双副本是重力侧的De Donder量规传播器。
Using the principles of the modern scattering amplitudes programme, we develop a formalism for constructing the amplitudes of three-dimensional topologically massive gauge theories and gravity. Inspired by recent developments in four dimensions, we construct the three-dimensional equivalent of $x$-variables for conserved matter currents coupled to topologically massive gauge bosons or gravitons. Using these, we bootstrap various matter-coupled gauge-theory and gravitational scattering amplitudes, and conjecture that topologically massive gauge theory and topologically massive gravity are related by the double copy. To motivate this idea further, we show explicitly that the Landau gauge propagator on the gauge theory side double copies to the de Donder gauge propagator on the gravity side.