论文标题
Lorentz和颗粒的置换不变i
Lorentz and permutation invariants of particles I
论文作者
论文摘要
Weyl的一个定理告诉我们，$ n $颗粒的力量中的Lorentz（和平等）多项式是由点产品产生的。我们将此结果扩展到包括任意置换组$ p \ subset s_n $在粒子上的作用，以考虑到粒子可能无法区分的量子场理论事实。这样做提供了一组方便的变量，用于描述涉及相同粒子的散射过程，例如$ pp \ to jjj $，为此我们提供了一组明确的lorentz和置换不变发电机。
A theorem of Weyl tells us that the Lorentz (and parity) invariant polynomials in the momenta of $n$ particles are generated by the dot products. We extend this result to include the action of an arbitrary permutation group $P \subset S_n$ on the particles, to take account of the quantum-field-theoretic fact that particles can be indistinguishable. Doing so provides a convenient set of variables for describing scattering processes involving identical particles, such as $pp \to jjj$, for which we provide an explicit set of Lorentz and permutation invariant generators.
