We derive a universal soft theorem for every scattering amplitude with at least one massless particle in an arbitrary theory of scalars. Our results follow from the geometry of field space and are valid for any choice of mass spectrum, potential terms, and higher-derivative interactions. For a ...
In this paper we study the supersymmetric generalization of the new soft theorem which was proposed by Cachazo and Strominger recently. At tree level, we prove the validity of the super soft theorems in both super-Yang-Mills theory and supergravity using super-BCFW recursion relations. We verify...
zhenjie学长不愧是何颂老师的高足,对引力散射振幅的把握非常到位,指出了我认识上的一些不足。(大概1700字,省流:1、在微扰意义上, “完全”可以把爱因斯坦引力看成是自旋2无质量粒子的场论,尽管会有一些哲学困难;2、自旋2无质量粒子真的是唯一的吗?前提是承认soft theorem和minimal coupling.)第一个问题是我们可以...
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近日,Tech Soft 3D宣布成功收购Theorem Solutions。这次收购不仅巩固了Tech Soft 3D在CAD数据转换和再利用市场的领先地位,更为其旗舰产品HOOPS组件带来了显著的技术提升和市场拓展机会。HOOPS组件作为Tech Soft 3D的核心技术产品,在此次收购中将如何受益,成为关注的焦点。
[58], they would require a formulation of the single soft-theorem to 𝒪(𝑞2)O(q2) which is still missing. The universal behaviour of an amplitude with two dilatons at zero momenta is given in terms of the amplitude without the soft particles by the expression: 𝑣2𝑇𝑛+2(𝑞,...
最后,就是证明上面的Soft Policy Iteration过程能保证policy收敛到最优,即Theorem 1: 由此,基本的理论建设也就结束了,下面进入Soft Actor-Critic的算法设计。 5 Soft Actor-Critic SAC算法的构建首先是神经网络化,我们用神经网络来表示Q和Policy: Q_{\theta}(s_t,a_t) 和\pi_{\phi}(a_t|s_t)。Q网络比...
Theorem 1 Let be a soft topological space and be a soft basis for . Then, equals the collection of all soft unions of elements of . Proof This is clearly seen from Definition 11. □ Definition 12 Let be a soft topological space and . Then, the collection is called a soft subspace top...
首先,我觉得现有的理论证明有点冗长,不够简洁,所以另辟蹊径,从另一个角度 —— Policy Gradient Theorem,来思考熵强化学习的问题。其次,我觉得业界低估了策略熵对exploration-exploitation平衡的统领作用,所以致力于推进熵强化学习,推出熵强化学习算法。最后,我觉得熵强化学习不应只局限在off-policy 的 Q-learning这个...
The leading soft- graviton behavior of the amplitudes, also called "Weinberg's theorem", is uncorrected to all loop orders. At sub-leading order, the soft photon behavior and the soft graviton behavior were also studied by using Feynman diagrams [29–31]. Very recently, sub-leading and sub...