Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term

Abstract

We explore the confining pressure inside the nucleon and the related gravitational form factor referred to as the D-term, using the skyrmion approach based on the scale-invariant chiral perturbation theory, where the skyrmion is described as the nucleon and a scalar meson couples to the scale anomaly through the low energy theorem. Within this model framework, the current quark mass and gluonic quantum contributions to the scale anomaly can be described by the pion and scalar meson masses, respectively, through matching with the underlying QCD. By considering the decomposition of the energy momentum tensor of nucleon, we examine the role of the scale anomaly contributions in the pressure inside the nucleon. As a result, the gluonic scale anomaly is found to dominate the confining pressure. Compared to the result based on the conventional chiral perturbation theory in the chiral limit, our result for the total pressure is capable of qualitatively improving the alignment with lattice QCD observations. Moreover, the pressure from the gluonic scale anomaly is widely distributed in position space, leading to its substantial contribution to the D-term.

8 pages, 3 figures

References in corpus (44)

• Nucleon electromagnetic and gravitational form factors from holography
• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Pion Generalized Parton Distributions with covariant and Light-front constituent quark models
• On LHCb pentaquarks as a baryon-psi(2S) bound state -- prediction of isospin 3/2 pentaquarks with hidden charm
• Gluon gravitational structure of hadrons of different spin
• Gravitational form factors of the proton from lattice QCD
• Forces within hadrons on the light front
• Nucleon mass radii and distribution: Holographic QCD, Lattice QCD and GlueX data
• $J/\psi$ near threshold in holographic QCD: A and D gravitational form factors
• Gravitational and higher-order form factors of the pion in chiral quark models
• Extending Chiral Perturbation Theory with an Isosinglet Scalar
• Energy momentum tensor and the D-term in the bag model
• D-term and structure of point-like and composed spin-0 particles
• Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
• Gravitational form factors within light-cone sum rules at leading order
• Updated analysis of near-threshold heavy quarkonium production for probe of proton's gluonic gravitational form factors
• Nucleon D-term in holographic QCD
• The Role of the Dilaton in Dense Skyrmion Matter
• Gravitational form factors of a baryon with spin-3/2
• Effects of long-range forces on the D-term and the energy-momentum structure
• Momentum-Current Gravitational Multipoles of Hadrons
• Gluon matter distribution in the proton and pion from extended holographic light-front QCD
• $\varphi$-meson lepto-production near threshold and the strangeness $D$-term
• Meson Mass Decomposition from Lattice QCD
• Cosmic Axion Force
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• 2D energy-momentum tensor distributions of nucleon in a large-$N_c$ quark model from ultra-relativistic to non-relativistic limit
• Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD
• Genuine empirical pressure within the proton
• A bound on the nucleon Druck-term from chiral EFT in curved space-time and mechanical stability conditions
• Stability of the pion and the pattern of chiral symmetry breaking
• Mechanical structure of a spin-1 particle
• Mellin moments of spin dependent and independent PDFs of the pion and rho meson
• Gravitational form factors of pion from top-down holographic QCD
• Distribution of Energy-Momentum Tensor around a Static Quark in the Deconfined Phase of SU(3) Yang-Mills Theory
• The $\epsilon$-regime of dilaton chiral perturbation theory
• Relativistic composite-particle theory of the gravitational form factors of pion: quantitative results
• Pion gravitational form factors in the QCD instanton vacuum I
• Pion gravitational form factors in the QCD instanton vacuum II
• Gravitational transverse-momentum distributions
• Effect of the pion field on the distributions of pressure and shear in the proton
• Rosenbluth Nonlinearity from Two-Photon Exchange
• Hawking radiation from an analogue bouncing geometry
• A step towards estimation of the neutral-hadron size: the gravitational mass radius of pi0 meson in a relativistic theory of composite particles

Cited by in corpus (6)

• A Journey of Seeking Pressure and Forces in the Nucleon
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Scale-anomaly-induced binding pressure in hadrons
• On-shell Matrix Elements of the EMT Trace in Gauge Theories and Heavy Quark Masses
• Scalar-glueball-mediated scale-anomaly dominance of the confining pressure of the pion in holographic QCD
• Transverse energy-momentum tensor distributions in polarized nucleons