Patterns of Spontaneous Chiral Symmetry Breaking in the Large-Nc Limit of QCD-Like Theories

Abstract

It is shown that in vector-like gauge theories, such as QCD, and in the limit of a large number of colours Nc, the ordering pattern of narrow vector and axial-vector states at low energies is correlated with the size of the possible local order parameters of chiral symmetry breaking. This has implications on the underlying dynamics of spontaneous chiral symmetry breaking in QCD, and also on possible values of the parameter S for oblique electroweak corrections, the analogue of the QCD low energy constant L10.

12 pages, 2 figures, plain Latex

Cited by in corpus (73)

• Mesonic low-energy constants
• The Physical Spectrum of Conformal SU(N) Gauge Theories
• Interpolating between low and high energy QCD via a 5D Yang-Mills model
• Electroweak Hadronic Contributions to the muon g-2
• A negative S parameter from Holographic Technicolor
• Low-Scale Technicolor at the Tevatron and LHC
• Tests of large-Nc QCD from hadronic tau decay
• A Rational Approach to Resonance Saturation in large-Nc QCD
• The role of spurions in Higgs-less electroweak effective theories
• The electroweak pi^+ - pi^0 mass difference and weak matrix elements in the 1/Nc expansion
• Matching Regge Theory to the OPE
• Electroweak phase transition with composite Higgs models: calculability, gravitational waves and collider searches
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• Neural network parametrization of spectral functions from hadronic tau decays and determination of QCD vacuum condensates
• Meson dominance of hadron form factors and large-Nc phenomenology
• Determination of the Chiral Couplings L_10 and C_87 from Semileptonic Tau Decays
• The fifth dimension as an analogue computer for strong interactions at the LHC
• Matrix Elements of Electroweak Penguin Operators in the 1/Nc Expansion
• Constraining Quark-Hadron Duality at Large-Nc
• Behavior of the S Parameter in the Crossover Region Between Walking and QCD-Like Regimes of an SU(N) Gauge Theory
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• Chiral Condensates, Q_7 and Q_8 Matrix Elements and Large-N_c QCD
• On the use of the Operator Product Expansion to constrain the hadron spectrum
• The 7/11 rule: an estimate of m_rho/f_pi
• Chiral Symmetry Breaking without Bilinear Condensates, Unbroken Axial Z_N Symmetry, and Exact QCD Inequalities
• Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
• Semileptonic tau decays beyond the Standard Model
• Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD
• A rational approximation to <VV-AA> and its O(p^6) low-energy constant
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• Tetraquarks in large-$N_c$ QCD
• Large-Nc QCD and Pade Approximant Theory
• An example of resonance saturation at one loop
• Chiral perturbation theory
• Cluster duality
• SVZ + 1/q2 expansion versus some QCD holographic Models
• Spin-1 Correlators at Large NC: Matching OPE and Resonance Theory up to O(alpha_s)
• Holography, chiral Lagrangian and form factor relations
• SU(3) breaking and Hidden Local Symmetry
• Zweig rule violation in the scalar sector and values of low-energy constants
• One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models
• An Effective Lagrangian for Low-Scale Technicolor
• Non-perturbative analysis of the spectrum of meson resonances in an ultraviolet-complete composite-Higgs model
• A New Approach to Weak Amplitudes in Large-Nc QCD
• On the relation between low-energy constants and resonance saturation
• The Constituent Chiral Quark Model Revisited
• Tau Physics: Theoretical Perspective
• Vanishing chiral couplings in the large-N_C resonance theory
• Technicolor Signals at the LHC
• Contribution of higher meson resonances to the electromagnetic $\pi$-meson mass difference
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Resonance saturation of the chiral couplings at NLO in 1/Nc
• Minimal Hadronic Ansatz to Large-Nc QCD and Hadronic tau Decay
• Relations between vacuum condensates and low energy parameters from a rational approach
• Generalized Weinberg Sum Rules in Deconstructed QCD
• The origin of mass and the experiments on future high energy accelerators
• Weinberg like sum rules revisited
• Revisiting 5D chiral symmetry breaking and holographic QCD models
• On Anomaly Matching and Holography
• Large-Nc QCD, Harmonic Sums and the Riemann Zeros
• B_K in the chiral limit within the 1/Nc expansion
• A Rational Approach to the Resonance Region
• One-loop Renormalization of Resonance Chiral Theory with Scalar and Pseudoscalar Resonances
• Low Energy Constants from High Energy Theorems
• Large Nc QCD and Harmonic Sums
• High Energy Theorems at Large-N
• Large-Nc QCD and Spontaneous Chiral Symmetry Breaking
• Determining chiral couplings at NLO
• Three-point Green Functions in the resonance region: LEC's
• Revisiting the vector form factor at next-to-leading order in 1/N(C)
• Scalar and pseudoscalar correlators in Resonance Chiral Theory
• rho_T Production via W_L Z_L Fusion at Hadronic Colliders