2019/05/13 by C. S. Lam · 1 citation
Physics and Astronomy · #Amplitude #BRST quantization #Black Holes and Theoretical Physics #Classical mechanics #Formalism (music) #Gauge theory #Gluon #Introduction to gauge theory #Invariant (physics) #Lagrangian #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Supersymmetric gauge theory #Theoretical physics #Yang–Mills theory #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.100.045009
published as Phys. Rev. D 100, 045009 (2019)
arxiv created 2019/05/13 · openalex created_date 2019/05/16 · openalex publication_date 2019/08/12 · arxiv updated 2019/08/21 · openalex updated_date 2026/08/05
M"obius invariance is used to construct gluon tree amplitudes in the Cachazo, He, and Yuan (CHY) formalism. If it is equally effective in steering the construction of off-shell tree amplitudes, then the S-matrix CHY theory can be used to replace the Lagrangian Yang-Mills theory. Unfortunately that is not possible. We find that the CHY formula can indeed be modified to obtain a M"obius-invariant off-shell amplitude MP, but this modified amplitude lacks local gauge invariance, which can be restored to give the correct Yang-Mills amplitude only by the addition of a complementary amplitude MQ. Although neither MP nor MQ is fully gauge invariant, both are partially gauge invariant in a sense to be explained.