We study observables in a conformal field theory which are very closely related to the ones used to describe hadronic events at colliders. We focus on the correlation functions of the energies deposited on calorimeters placed at a large distance from the collision. We consider initial states produced by an operator insertion and we study some general properties of the energy correlation functions for conformal field theories. We argue that the small angle singularities of energy correlation functions are controlled by the twist of non-local light-ray operators with a definite spin. We relate the charge two point function to a particular moment of the parton distribution functions appearing in deep inelastic scattering. The one point energy correlation functions are characterized by a few numbers. For ${\cal N}=1$ superconformal theories the one point function for states created by the R-current or the stress tensor are determined by the two parameters $a$ and $c$ characterizing the conformal anomaly. Demanding that the measured energies are positive we get bounds on $a/c$. We also give a prescription for computing the energy and charge correlation functions in theories that have a gravity dual. The prescription amounts to probing the falling string state as it crosses the $AdS$ horizon with gravitational shock waves. In the leading, two derivative, gravity approximation the energy is uniformly distributed on the sphere at infinity, with no fluctuations. We compute the stringy corrections and we show that they lead to small, non-gaussian, fluctuations in the energy distribution. Corrections to the one point functions or antenna patterns are related to higher derivative corrections in the bulk.
Nonrelativistic Conformal Collider Physics of Multiparticle Point Production
Leinweber Institute for Theoretical Physics, University of Chicago（芝加哥大学莱因韦伯理论物理研究所）；The Abdus Salam Institute for Theoretical Physics（阿卜杜斯·萨拉姆理论物理研究所）；Department of Physics, Yale University（耶鲁大学物理系）
Conformal collider bootstrap in ${\mathcal N}=4$ SYM
Massachusetts Institute of Technology（麻省理工学院）；University of Oxford（牛津大学）；Princeton University（普林斯顿大学）；Perimeter Institute for Theoretical Physics（理论物理前沿研究所）；CERN（欧洲核子研究中心）
A Conformal Bridge for the Light Transform of QCD Correlation Functions
Center for Theoretical Physics, Massachusetts Institute of Technology（麻省理工学院理论物理中心）；CERN, Theoretical Physics Department（欧洲核子研究中心理论物理部）；School of Physics, Peking University（北京大学物理学院）；Center for High Energy Physics, Peking University（北京大学高能物理中心）
