Literature guide

Literature Guide

The following literature is provided to accompany the SAGEX scientific curriculum; links to the materials are provided wherever possible.

Books

Perturbative QCD:

On-shell methods:

String theory:

Reviews/Pedagogical Lectures

General introduction to modern methods for amplitudes:

Loop methods:

Generalised unitarity:

Differential equations:

Mulitple polylogs, symbols, Hopf algebra structure:

  • Claude Duhr, Mathematical aspects of scattering amplitudes, In Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics: Journeys through the precision frontier: amplitudes for colliders (TASI 2014): Boulder, Colorado, June 2-27, 2014, pages 419–476, 2015.
  • Erik Panzer, Feynman integrals and hyperlogarithms, PhD thesis, Humboldt U., Berlin, Inst. Math., 2015.
  • Christian Vergu, Polylogarithms and physical applications, Notes from the summer school ‘Polylogarithms as a bridge between number theory
    and particle physics”, Durham, UK, July 2013.

Twistor methods:

Grassmannian geometry:  (original papers)

Regge kinematics:

  • J. Bartels, L. N. Lipatov, and A. Prygarin, Integrable spin chains and scattering amplitudes, J. Phys., A44:454013, 2011.
  • J. Bartels, AdS/CFT: scattering amplitudes in the Regge limit: from weak to strong coupling, Int. J. Mod. Phys. Conf. Ser., 04:26–34, 2011.

Methods for supersymmetric amplitudes:

SUSY Ward identities:

Dual conformal symmetry and Yangian symmetry:

Asymptotic symmetries and soft theorems:

Integrability in AdS/CFT:

Wilson loop/pentagon operator product expansion:

Color-kinematics duality:

  • Z. Bern, Colour-kinematics duality, Lecture Notes, Amplitudes 2018 Summer School.
  • John Joseph M. Carrasco, Gauge and gravity amplitude relations, In Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics: Journeys through the precision frontier: amplitudes for colliders (TASI 2014): Boulder, Colorado, June 2-27, 2014, pages 477–557. WSP, WSP, 2015.

CHY: (original papers)

String theory:

  • David Tong, String Theory, Lectures, University of Cambridge, UK.

AdS/CFT:

Classic Papers