Spinors and conformal correlators
https://arxiv.org/pdf/2112.12540.pdf
Abstract: In conformal field theory, momentum eigenstates can be parameterized by a pair of real spinors, in terms of which special conformal transformations take a simpler form. This well-known fact allows to express 2-point functions of primary operators in the helicity basis, exposing the consequences of unitarity. What is less known is that the same pair of spinors can be used, together with a pair of scalar quantities, to parameterize 3-point functions. We develop this formalism in 3 dimensions and show that it provides a simple realization of the operator product expansion (OPE) for scalar primary operators acting on the vacuum.
The Theory of Deeply Inelastic Scattering
https://arxiv.org/pdf/1208.6087.pdf
Abstract: The nucleon structure functions probed in deep-inelastic scattering at large virtualities form an important tool to test Quantum Chromdynamics (QCD) through precision measurements of the strong coupling constant αs(M2Z) and the different parton distribution functions. The exact knowledge of these quantities is also of importance for all precision measurements at hadron colliders. During the last two decades very significant progress has been made in performing precision calculations. We review the theoretical status reached for both unpolarized and polarized lepton-hadron scattering based on perturbative QCD.
Comment: must read!
这两篇论文深入探讨了量子场论中的特殊共形变换和散射过程。第一篇聚焦于3维共形场论中,利用一对旋量参数化3点函数,并简洁实现标量初级算符的OPE。第二篇则关注深部浸没散射,通过高虚拟性测量来检验量子色动力学,确定强耦合常数和部分子分布函数,对于粒子对撞机的精确测量至关重要。
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