Effective theories with maximal analyticity

Abstract

In this paper (second in the series) we study the properties of tree-level binary amplitudes of the infinite-component effective field theory of strong interaction obeying the requirements of quark-hadron duality and maximal analyticity. In contrast to the previous paper, here we derive the results following from less restrictive --- Regge-like --- boundedness conditions. We develop the technique of Cauchy's forms in two variables and show the string-like structure of a theory. Next, we derive the full set of bootstrap constraints for the resonance parameters in (π,K) system. Numerical test shows: (1) those constraints are consistent with data on well established vector resonances; (2) two light broad resonances -- sigma- and kappa-mesons -- are needed to saturate sum rules following from Chiral symmetry and analyticity. As a by-product we obtain expressions for the parameters of Chiral expansions and give corresponding estimates.

33 pages, 2 figures, 1 table, LATEX

References in corpus (7)

• An Analysis of ππ-Scattering Phase Shift and Existence of σ(555) particle
• Evidence for a scalar kappa(900) resonance in pi-K scattering
• Analysis of Kπ-scattering phase shift and existence of κ(900)-particle
• Effective Field Theories in the Large $N$ Limit
• ππ, Kπand πN potential scattering and a prediction of a narrow σmeson resonance
• Reply to the Comment by Harada, Sannino and Schechter on "Confirmation of the Sigma Meson"
• Double Counting Ambiguities in the Linear Sigma Model

Cited by in corpus (12)

• Toy model for two chiral nonets
• Two chiral nonet model with massless quarks
• Gauged linear sigma model and pion-pion scattering
• Alternative Large Nc Schemes and Chiral Dynamics
• The Energy Momentum Tensor of Chiral Quark Models at Low Energies
• Bootstrap and the physical values of $\pi N$ resonance parameters
• The resultant parameters of effective theory
• On the S-matrix renormalization in effective theories
• Crossing Symmetry Violation of Unitarized Pion-Pion Amplitude in the Resonance Region
• The Equivalence Theorem in Effective Theories
• High Energy Theorems at Large-N
• Pion-Pion Scattering in Two Dimensions