论文标题
柔软定理和单位性的对称和统一
Symmetry and Unification from Soft Theorems and Unitarity
论文作者
论文摘要
我们认为，对称性和统一可以作为动态散射的某些物理约束的副产品出现。为了实现这一目标，我们将通过任意局部相互作用耦合的无质量和大规模标量场的一般洛伦兹不变的四维理论参数化。假设扰动单位性和ADLER零条件，我们证明，任何有限的无质量和巨大模式的有限频谱都必须在高能下统一为线性化对称性的多重组。对称代数的某些发电机可以根据光谱和三粒子相互作用明确得出。此外，我们的假设暗示着coset空间是对称的。
We argue that symmetry and unification can emerge as byproducts of certain physical constraints on dynamical scattering. To accomplish this we parameterize a general Lorentz invariant, four-dimensional theory of massless and massive scalar fields coupled via arbitrary local interactions. Assuming perturbative unitarity and an Adler zero condition, we prove that any finite spectrum of massless and massive modes will necessarily unify at high energies into multiplets of a linearized symmetry. Certain generators of the symmetry algebra can be derived explicitly in terms of the spectrum and three-particle interactions. Furthermore, our assumptions imply that the coset space is symmetric.
