The Energy Momentum Tensor of Chiral Quark Models at Low Energies

Abstract

The low energy structure of the energy momentum tensor in several chiral quark models with SU(3) flavor symmetry is analyzed in the presence of external gravitational fields. To this end a derivative expansion in a curved four dimensional space time is considered. This allows us to compute the chiral coefficients $L_{11}$, $L_{12}$, and $L_{13}$, appearing when the model is coupled to gravity and related to space-time curvature properties.

arXiv comment12 pages. References added. To appear in Physical Review D

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• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• Electromagnetic Structure of Few-Nucleon Ground States
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Energy momentum tensor and the D-term in the bag model
• D-term and structure of point-like and composed spin-0 particles
• Radial excitations of Q-balls, and their D-term
• Energy momentum tensor, stability, and the D-term of Q-balls
• The dynamic origins of fermionic D-terms
• Stability of the pion and the pattern of chiral symmetry breaking
• The energy-momentum tensor and D-term of Q-clouds
• Derivative expansion of the heat kernel in curved space
• Gravitational form factors of pions, kaons and nucleons from dispersion relations