Scale symmetry breaking, quantum anomalous energy and proton mass decomposition

Ji, Xiangdong and Liu, Yizhuang and Schaefer, Andreas (2021) Scale symmetry breaking, quantum anomalous energy and proton mass decomposition. NUCLEAR PHYSICS B, 971: 115537. ISSN 0550-3213, 1873-1562

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Abstract

We study the anomalous scale symmetry breaking effects on the proton mass in QCD due to quantum fluctuations at ultraviolet scales. We confirm that a novel contribution naturally arises as a part of the proton mass, which we call the quantum anomalous energy (QAE). We discuss the QAE origins in both lattice and dimensional regularizations and demonstrate its role as a scheme-and-scale independent component in the mass decomposition. We further argue that QAE role in the proton mass resembles a dynamical Higgs mechanism, in which the anomalous scale symmetry breaking field generates mass scales through its vacuum condensate, as well as its static and dynamical responses to the valence quarks. We demonstrate some of our points in two simpler but closely related quantum field theories, namely the 1+1 dimensional non-linear sigma model in which QAE is non-perturbative and scheme-independent, and QED where the anomalous energy effect is perturbative calculable. (C) 2021 The Author(s). Published by Elsevier B.V.

Item Type: Article
Uncontrolled Keywords: J/PSI-PHOTOPRODUCTION; RESONANCE PHYSICS; QCD; QUARKONIUM; INSTANTONS; BEHAVIOR; TRACE; MODEL
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Aug 2022 05:14
Last Modified: 23 Aug 2022 05:14
URI: https://pred.uni-regensburg.de/id/eprint/46809

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