Chiral-scale effective theory including a dilatonic meson

Abstract

A scale-invariant chiral effective Lagrangian is constructed for octet pions and a dilaton figuring as Nambu-Goldstone bosons with vector mesons incorporated as hidden gauge fields. The Lagrangian is built to the next-to-leading order in chiral-scale counting without baryon fields and then to leading order including baryons. The resulting theory is hidden scale-symmetric and local symmetric. We also discuss some possible applications of the present Lagrangian.

12 page, changes to match the published version

References in corpus (6)

• Light scalar at LHC: the Higgs or the dilaton?
• Vector Mesons and an Interpretation of Seiberg Duality
• The Role of the Dilaton in Dense Skyrmion Matter
• Lattice-motivated holomorphic nearly perturbative QCD
• Hidden Local Symmetry and Beyond
• The thermal evolution of nuclear matter at zero temperature and definite baryon number density in chiral perturbation theory

Cited by in corpus (28)

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• A pseudo-conformal structure in dense baryonic matter
• The Quenched $g_A$ in Nuclei and Emergent Scale Symmetry in Baryonic Matter
• Topology and emergent symmetries in dense compact star matter
• Scale-chiral symmetry, $\omega$ meson and dense baryonic matter
• Manifestation of Hidden Symmetries in Baryonic Matter: From Finite Nuclei to Neutron Stars
• Topology change, emergent symmetries and compact star matter
• Scale symmetry and composition of compact star matter
• Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Dynamic scale anomalous transport in QCD with electromagnetic background
• The Non-Quenching of $g_A$ in Nuclei and Emergent Scale Symmetry in Dense Baryonic Matter
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Ladder top-quark condensation imprints in supercooled electroweak phase transition
• Nuclear Axial Currents from Scale-Chiral Effective Field Theory
• Mapping topology to nuclear dilaton-HLS effective field theory for dense baryonic matter
• Charging the conformal window at nonzero $\theta$ angle
• Enhanced diHiggs signal from hidden scalar QCD at leading-order scale-symmetry limit
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• The "Folk Theorem" on Effective Field Theory: A Case for Nuclear Physics
• "Mass Without Mass" and Nuclear Matter
• Scale-Chiral Effective Field Theory for Nuclear Interactions in the Veneziano Limit
• Mapping topology of skyrmions and fractional quantum Hall droplets to nuclear EFT for ultra-dense baryonic matter
• Pinning Down the Axial-Vector Coupling Constant in Nuclei and Dense Matter
• Why {\em Explicit} Strangeness Is Not Relevant In Compact Stars
• Probing the Source of Proton Mass by"Unbreaking" Scale-Chiral Symmetry