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Large N QCD
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abstract
1. Introduction 2. The Gross-Neveu Model 3. QCD 3.1 N-Counting Rules for Diagrams 3.1.1 U(1) Ghosts 3.2 The 't Hooft Model 3.3 $N$-Counting Rules for Correlation Functions 3.4 The Master Field 4. Meson Phenomenology 4.1 Zweig's Rule 4.2 Exotics 4.3 Chiral Perturbation Theory 4.4 Non-leptonic K Decay 4.5 $K-\bar K$ mixing 4.6 Axial U(1) and the eta' Mass 4.7 Resonances and 1/N 5 Baryons 5.1 N-Counting Rules for Baryons 5.2 The Non-Relativistic Quark Model 6 Spin-Flavor Symmetry for Baryons 6.1 Consistency Conditions 6.2 1/N Corrections 6.3 Solution of Consistency Conditions 7 Masses with SU(3) Breaking 8 Other Results for Baryons 9 Large N and Chiral Perturbation Theory
Forward citations
Cited by 10 Pith papers
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Fortuity and Complexity in a Simple Quark Model
In a toy qubit model of quarks, BRST cohomology designates baryons as fortuitous and mesons as monotone, with the former displaying super-exponential complexity and the latter power-law complexity in the Veneziano limit.
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The flavour of SU(15) composite quarks and leptons
A hand-imposed hierarchical texture for two flavour spurions fits the SM quark/lepton masses and CKM, and the same spurions make the electron EDM and K0-Kbar0 mixing the strongest probes of the SU(15) preon scale.
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Confinement in Holographic Theories at Finite Theta
Holographic 5D model shows confinement critical temperature falls quadratically with vacuum angle, matches lattice QCD, and allows time-dependent theta to trigger supercooling and altered gravitational-wave spectra.
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Role of the $\Sigma(1430)(1/2^-)$ in the $J/\psi \to \Lambda \bar{\Lambda} \pi^0$ reaction
The isospin-violating J/ψ→ΛΛ̄π⁰ decay is shown to selectively produce the dynamically-generated Σ(1430) resonance while suppressing the conventional Σ(1385) state, matching limited BESIII data.
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Role of $a_0(1710)$ in the $J/\psi\to\rho^+\rho^-\omega$ and $J/\psi\to\gamma\rho^0\omega$ reactions
Clear peaks linked to the a0(1710) appear in the rho omega invariant mass spectra for J/psi to rho+ rho- omega and J/psi to gamma rho0 omega decays.
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Role of $\Xi(1690)$ in the $J/\psi\to\Xi^0\bar{\Lambda}K^0$ reaction
The Ξ(1690) resonance generated dynamically in the chiral unitary approach is essential to reproduce the invariant mass spectra in the J/ψ → Ξ⁰ Λ̄ K⁰ reaction.
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$\Lambda(1670)$ production in the $\psi(3686) \to \Lambda \bar \Lambda \eta$ reaction
Theoretical calculation of ψ(3686) → Λ Λ̄ η decay shows Λ(1670) peaks in ηΛ and ηΛ̄ distributions using two SU(3) flavor structures and final-state interactions, with one free parameter fitting data and supporting a m...
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The Polymorphic Chiral Anomaly
Derives a generic chiral anomaly formula incorporating multiple Feynman diagrams, from which abelian, singlet, consistent, and covariant forms follow, with topological discussion and FeynCalc code.
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Quantum Simulation of Large N Lattice Gauge Theories
At leading order in 1/N_c, SU(3) lattice Yang-Mills reduces to a PXP spin model with one qubit per plaquette, enabling simpler quantum simulation encodings.
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Coupled-channel approach in hadron-hadron scattering
A self-contained review of unitarity and analyticity based methods for coupled-channel hadron-hadron scattering, with detailed derivations and worked examples.
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