论文标题
自以为是的Yang-Mills和自我双重重力的各个方面
Aspects of self-dual Yang-Mills and self-dual gravity
论文作者
论文摘要
在本论文中，我们研究了自dual-dual-yang-mills和自动重力的所有相同的螺旋回路振幅。这些幅度长期以来一直被认为是一种异常，并且最近与两环量子重力的紫外线差异有关。在论文的第一部分中，我们研究了自偶木米尔斯中的循环幅度。我们表明，可以将四个循环幅度降低为移动的计算，这强烈建议使用异常解释。接下来，我们就有效的传播器连接的贝伦德 - 吉利电流（Berends-Giele Currents）提出了一个新的公式，以所有多样化的一环振幅。我们通过观察到它很容易暗示正确的共线特性来证明该公式。为了证明我们的公式的有效性，我们在3、4和5点进行明确的计算，然后再现已知的结果。该地区矩变量变量在我们的公式中起着重要作用，因此它指向了世界表和动量扭曲器的解释。在论文的第二部分中，我们研究了手性爱因斯坦 - 卡丹重力的一个循环行为和自二重重力中的一环振幅。
In this thesis, we study the all same helicity loop amplitudes in self-dual Yang-Mills and self-dual gravity. These amplitudes have long been conjectured to be interpreted as an anomaly and are recently linked to the UV divergence of two-loop quantum gravity. In the first part of the thesis, we study the loop amplitudes in self-dual Yang-Mills. We show that the four point one-loop amplitude can be reduced to a computation of shifts, which strongly suggests a case for an anomaly interpretation. We next propose a new formula for the one-loop amplitudes at all multiplicity, in terms of the Berends-Giele currents connected by an effective propagator. We prove the formula by observing that it readily implies the correct collinear properties. To demonstrate the validity of our formula, we do an explicit computation at 3, 4 and 5 points and reproduce the known results. The region momenta variables play an important role in our formula and thus it points to both the worldsheet and the momentum twistor interpretations. In the second part of the thesis, we study the one loop behaviour of chiral Einstein-Cartan gravity and the one-loop amplitudes in self-dual gravity.
