Mass structure of hadrons and light-front sum rules in t' Hooft model

Abstract

We study the mass/energy structure of the bound state of hadrons in two-dimensional quantum chromodynamics in the large number of color limit (t' Hooft model). We analyze separately the contributions from the traceless and trace part of the energy-momentum tensor, and show that the masses are related to the matrix elements of the scalar charge and Coulomb energy. We derive the light-front sum rules for the scalar charge and Coulomb energy, expressed in terms of the light-front wave functions, and find that they are regular at x = 0 without the delta function contribution. We also consider the result for the massless Goldstone boson, as well as the structure of the gravitational form factors of the bound meson states.

Longitudinal dynamics for mesons on the light cone

“…Both works note the close relation between the LMZV/BLFQ 0 model and the 't Hooft model. The latter is known to exhibit the chiral symmetry breaking via the KT mechanism [58]. From the ground state masses in the vicinity of the chiral limit M 2 lmzv = σ(m q + m q) + O(m 2 q,q ), and M 2 tH = g π 3 (m q + m q) + O(m 2 q,q ), we can identify σ = g π 3 = | qq |/f 2 π .…”

One-loop electron mass and QED trace anomaly

“…Due to nonperturbative nature of the low-energy QCD theoretical studies of hadron gravitational form factors and other hadron EMT properties use general gauge theory principles, lattice QCD, QCD inspired low-energy models and model theories which admit quantitative analysis, see e.g., [9][10][11][12][13][14][15][16] and numerous other papers.…”

One-loop electron mass and QED trace anomaly

“…Due to nonperturbative nature of the low-energy QCD theoretical studies of hadron gravitational form factors and other hadron EMT properties use general gauge theory principles, lattice QCD, QCD inspired low-energy models and model theories which admit quantitative analysis, see e.g., [9][10][11][12][13][14][15][16] and numerous other papers.…”