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...
structure functions/ soft-pion theoremnear-threshold pion productionamplitudenucleon distribution amplitudestructure functionF 2p(W,Q 2)gamma+nucleon producing pion/ A1360K Meson production A1340F Electromagnetic form factorsWe prove a new soft-pion theorem for the near-threshold pion production by a ...
[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...
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Theorem 1 Let (FA,τ̃) be a soft topological space and B̃ be a soft basis for τ̃ . Then, τ̃ equals the collection of all soft unions of elements of B̃. Proof This is clearly seen from Definition 11. □ Definition 12 Let (FA,τ̃) be a soft topological space and...
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...