2018/06/04 by Gouranga C. Nayak, Nayak, Gouranga C
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1806.01220
openalex publication_date 2018/06/04 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
To prove the momentum sum rule in the operator product expansion (OPE) in QCD\nat high energy colliders it is assumed that <P| T++(0)|P>=2(P+)2\nwhere |P> is the momentum eigenstate of the hadron H with momentum P^\μ\nand T++(0) is the ++ component of the gauge invariant color\nsinglet energy-momentum tensor density operator T\μ \ν(0) of all\nthe quarks plus antiquarks plus gluons inside the hadron H. However, in this\npaper, we show that this relation <P| T++(0)|P>=2(P+)2 is correct\nif T\μ \ν(0) is the energy-momentum tensor density operator of\nthe hadron but this relation <P| T++(0)|P>=2(P+)2 is not correct\nif T\μ \ν(0) is the gauge invariant color singlet energy-momentum\ntensor density operator of all the quarks plus antiquarks plus gluons inside\nthe hadron. Hence we find that the momentum sum rule is violated in the\noperator product expansion (OPE) in QCD at high energy colliders.\n