Alternative Large Nc Schemes and Chiral Dynamics

Abstract

We compare the dependences on the number of colors of the leading pion pion scattering amplitudes using the single index quark field and two index quark fields. These are seen to have different relationships to the scattering amplitudes suggested by chiral dynamics which can explain the long puzzling pion pion s wave scattering up to about 1 GeV. This may be interesting for getting a better understanding of the large Nc approach as well as for application to recently proposed technicolor models.

RevTex, two-columns, 6 pages

References in corpus (70)

• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Mass and width of the lowest resonance in QCD
• Orientifold theory dynamics and symmetry breaking
• Walking in the SU(N)
• A new look at scalar mesons
• Light Composite Higgs from Higher Representations versus Electroweak Precision Measurements -- Predictions for LHC
• Scalar mesons above and below 1 GeV
• Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
• Resurrection of the Sigma Meson
• A low-lying scalar meson nonet in a unitarized meson model
• UNDERSTANDING THE SCALAR MESON $q\bar{q}$ NONET
• On the nature of light scalar mesons from their large $N_c$ behavior
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• Putative Light Scalar Nonet
• Dark Matter from new Technicolor Theories
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Light Meson Spectroscopy
• Composite Higgs from Higher Representations
• Exact Results in Non-Supersymmetric Large N Orientifold Field Theories
• Optimized Perturbation Theory at Finite Temperature
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Simple Description of Pion-Pion Scattering to 1 GeV
• Mechanism for a next-to-lowest lying scalar meson nonet
• A Precursor of Chiral Symmetry Restoration in the Nuclear Medium
• An Analysis of ππ-Scattering Phase Shift and Existence of σ(555) particle
• SUSY Relics in One-Flavor QCD from a New 1/N Expansion
• Light composite Higgs and precision electroweak measurements on the Z resonance: An update
• Evidence for a scalar kappa(900) resonance in pi-K scattering
• Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models
• Analysis of Kπ-scattering phase shift and existence of κ(900)-particle
• (In)validity of large N orientifold equivalence
• K-matrix analysis of the K-pi S-wave in the mass region 900-2100 Mev and nonet classification of scalar qqbar-states
• Scalar meson and glueball decays within a effective chiral approach
• Dynamical generation of the gauged SU(2) linear sigma model
• Relativistic Effects in the Scalar Meson Dynamics
• Towards resolution of the enigmas of P-wave meson spectroscopy
• Exploring $\pp$ scattering in the $\1N$ picture
• QCD Tests of the Puzzling Scalar Mesons
• The Mixing Angle of the Lightest Scalar Nonet
• Refining the Proof of Planar Equivalence
• Isosinglet Scalar Mesons Below 2 GeV and the Scalar Glueball Mass
• Nature of the light scalar mesons
• Effective Lagrangians for Orientifold Theories
• QCD Sum-Rule Consistency of Lowest-Lying Quark Scalar Resonances
• Comment on ``Confirmation of the Sigma Meson''
• eta' to eta pi pi Decay as a Probe of a Possible Lowest-Lying Scalar Nonet
• Mass Uncertainties of f0(600) and f0(1370) and their Effects on Determination of the Quark and Glueball Admixtures of the I=0 Scalar Mesons
• Study of sigma(750) and rho0(770) production in measurements of piN(polarized) -> pi(+)pi(-)n on a polarized target at 5.98,11.85 and 17.2 GeV/c
• The radiative decays $\varphi \to \gamma a_0/f_0$ in the molecular model for the scalar mesons
• The WIMP of a Minimal Technicolor Theory
• Another look at $\pi \pi$ scattering in the scalar channel
• The mass of the sigma pole
• Chiral Lagrangian treatment of pi eta scattering
• Higher Representations: Confinement and Large N
• Mixing among light scalar mesons and L=1 q\bar{q} scalar mesons
• Large Nc and Chiral Dynamics
• Can large Nc equivalence between supersymmetric Yang-Mills theory and its orbifold projections be valid?
• Information on the Super Yang-Mills Spectrum
• Positive Parity Scalar Mesons in the 1-2 GeV Mass Range
• Quark Condensate in Massless QCD from Planar Equivalence
• Tree-level (pi, K)-amplitude and analyticity
• Spontaneous Generation of Pseudoscalar Mass in the U(3)xU(3) Linear Sigma Model
• A note on C-Parity Conservation and the Validity of Orientifold Planar Equivalence
• Effective theories with maximal analyticity
• Extending the Veneziano-Yankielowicz Effective Theory
• Comment on ``Understanding the scalar meson quark-antiquark nonet''
• Hidden QCD in Chiral Gauge Theories
• Corrigan-Ramond Extension of QCD at Nonzero Baryon Density

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• Extending Chiral Perturbation Theory with an Isosinglet Scalar
• Light Dilaton at Fixed Points and Ultra Light Scale Super Yang Mills
• Scalar-isoscalar states in the large-Nc Regge approach
• WW Scattering in Walking Technicolor
• Low energy scattering with a nontrivial pion
• All you need is N: Baryon spectroscopy in two large N limits
• Spin contribution to light baryons in different large-$N$ limits
• The Electroweak Phase Transition in Ultra Minimal Technicolor
• A note on large N scalar QCD_2
• Remark on pion scattering lengths
• Alternative large Nc baryons and holography
• Color Superconductivity at Large N: A New Hope
• Large N Scalars: From Glueballs to Dynamical Higgs Models
• One Flavour QCD as an analogue computer for SUSY