The Experts below are selected from a list of 201 Experts worldwide ranked by ideXlab platform
Zhihui Guo - One of the best experts on this subject based on the ideXlab platform.
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Light-flavor resonance dynamics in the $U(3)$ chiral theory
arXiv: High Energy Physics - Phenomenology, 2020Co-Authors: Zhihui GuoAbstract:We review the recent developments on the light-flavor resonances in the $U(3)$ chiral effective filed theory. The spectral Function Sum rules and the semilocal duality in the scattering, which will be focus of this note, can provide us interesting and useful theoretical objects to bridge the hadron resonances in the intermediate energy region and the QCD behaviors in the asymptotic region. First the calculations of the meson-meson scattering amplitudes and factor factors are elaborated. The scalar spectral Functions are then calculated in terms of the unitarized scalar form factors. The scalar and pseudoscalar spectral Function Sum rules in our study are found to be consistent with the asymptotic behavior of QCD in the chiral limit. The semilocal duality is found to be generally well satisfied, indicating the necessary cancellations of different contributions from different resonances indeed happen in the scattering amplitudes. The $N_C$ evolutions of the resonance poles, the ratios to quantify the semilocal duality and the spectral Function integrals are also paid special attention to in this note.
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Interesting features of scalar and pseudoscalar spectral Function Sum rules within a U(3) chiral framework
EPJ Web of Conferences, 2012Co-Authors: Zhihui Guo, J A Oller, J. Ruiz De ElviraAbstract:We compute the scalar and pseudoscalar spectral Functions by using their form factors calculated within the unitarized U(3) chiral perturbation theory (�PT). The extrapolation to larger values of NC and the spectral Function Sum rules are discussed as well. Some interesting features of the scalar spectral Functions are revealed.
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chiral dynamics in form factors spectral Function Sum rules meson meson scattering and semi local duality
Physical Review D, 2012Co-Authors: Zhihui Guo, J A Oller, Ruiz J De ElviraAbstract:In this work, we perform the one-loop calculation of the scalar and pseudoscalar form factors in the framework of U(3) chiral perturbation theory with explicit tree level exchanges of resonances. The meson-meson scattering calculation from Ref.[1] is extended as well. The spectral Functions of the nonet scalar-scalar (SS) and pseudoscalar-pseudoscalar (PP) correlators are constructed by using the corresponding form factors. After fitting the unknown parameters to the scattering data, we discuss the resonance content of the resulting scattering amplitudes. We also study spectral-Function Sum rules in the SS-SS, PP-PP and SS-PP sectors as well as semi-local duality from scattering. The former relate the scalar and pseudoscalar spectra between themselves while the latter mainly connects the scalar spectrum with the vector one. Finally we investigate these items as a Function of Nc for Nc > 3. All these results pose strong constraints on the scalar dynamics and spectroscopy that are discussed. They are successfully fulfilled by our meson-meson scattering amplitudes and spectral Functions.
Ruiz J De Elvira - One of the best experts on this subject based on the ideXlab platform.
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chiral dynamics in form factors spectral Function Sum rules meson meson scattering and semi local duality
Physical Review D, 2012Co-Authors: Zhihui Guo, J A Oller, Ruiz J De ElviraAbstract:In this work, we perform the one-loop calculation of the scalar and pseudoscalar form factors in the framework of U(3) chiral perturbation theory with explicit tree level exchanges of resonances. The meson-meson scattering calculation from Ref.[1] is extended as well. The spectral Functions of the nonet scalar-scalar (SS) and pseudoscalar-pseudoscalar (PP) correlators are constructed by using the corresponding form factors. After fitting the unknown parameters to the scattering data, we discuss the resonance content of the resulting scattering amplitudes. We also study spectral-Function Sum rules in the SS-SS, PP-PP and SS-PP sectors as well as semi-local duality from scattering. The former relate the scalar and pseudoscalar spectra between themselves while the latter mainly connects the scalar spectrum with the vector one. Finally we investigate these items as a Function of Nc for Nc > 3. All these results pose strong constraints on the scalar dynamics and spectroscopy that are discussed. They are successfully fulfilled by our meson-meson scattering amplitudes and spectral Functions.
Naoto Yokoi - One of the best experts on this subject based on the ideXlab platform.
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Spectral-Function Sum rules in supersymmetry breaking models
Physical Review D, 2012Co-Authors: Ryuichiro Kitano, Masafumi Kurachi, Mitsutoshi Nakamura, Naoto YokoiAbstract:The technique of Weinberg's spectral-Function Sum rule is a powerful tool for a study of models in which global symmetry is dynamically broken. It enables us to convert information on the short-distance behavior of a theory to relations among physical quantities which appear in the low-energy picture of the theory. We apply such technique to general supersymmetry breaking models to derive new Sum rules.
Mikhail A. Stephanov - One of the best experts on this subject based on the ideXlab platform.
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Bulk spectral Function Sum rule in QCD-like theories with a holographic dual
Journal of High Energy Physics, 2011Co-Authors: Paul M. Hohler, Mikhail A. StephanovAbstract:We derive the Sum rule for the spectral Function of the stress-energy tensor in the bulk (uniform dilatation) channel in a general class of strongly coupled field theories. This class includes theories holographically dual to a theory of gravity coupled to a single scalar field, representing the operator of the scale anomaly. In the limit when the operator becomes marginal, the Sum rule coincides with that in QCD. Using the holographic model, we verify explicitly the cancellation between large and small frequency contributions to the spectral integral required to satisfy the Sum rule in such QCD-like theories.
Giovanni Venturi - One of the best experts on this subject based on the ideXlab platform.
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Vacuum energy and spectral Function Sum rules
Physical Review D, 2007Co-Authors: Alexander Yu. Kamenshchik, Alessandro Tronconi, Gian Paolo Vacca, Giovanni VenturiAbstract:We reformulate the problem of the cancellation of the ultraviolet divergencies of the vacuum energy, particularly important at the cosmological level, in terms of a saturation of spectral Function Sum rules which leads to a set of conditions on the spectrum of the fundamental theory. We specialize the approach to both Minkowski and de Sitter space-times and investigate some examples.
