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This paper is concerned with the transient dynamics described by the solutions of the reaction-diffusion equations in which the reaction term consists of a combination of a superlinear power-law absorption and a time-independent point…

Analysis of PDEs · Mathematics 2015-11-10 Peter V. Gordon , Cyrill B. Muratov

We study sum rules that control the Regge limit of one-dimensional conformal field theory (CFT) correlators and relate them to dual bulk scattering processes at high energies in $\mathrm{AdS}_2$. By imposing the condition that no scattering…

High Energy Physics - Theory · Physics 2026-03-25 Kausik Ghosh , Miguel F. Paulos , Noé Suchel , Zechuan Zheng

We present a quantitative analysis of chiral symmetry breaking in two-flavour continuum QCD in the quenched limit. The theory is set-up at perturbative momenta, where asymptotic freedom leads to precise results. The evolution of QCD towards…

High Energy Physics - Phenomenology · Physics 2015-04-01 Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We explore a modification of QCD sum rules where, instead of Borel transforms of current correlators, one considers the correlators in coordinate space as functions of Euclidean time. Taking the nucleon channel as an example, we derive such…

High Energy Physics - Phenomenology · Physics 2026-05-06 A. V. Smilga

A visible improvement of the QCD sum-rule framework, achieved only recently by a slightly more sophisticated consideration of the hadron excitations and continuum, is applied to the extraction of the decay constants of heavy-light…

High Energy Physics - Phenomenology · Physics 2012-06-05 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

It has previously been demonstrated that the mesonic fields in chiral Lagrangians can be related to the quark-level operators of QCD sum-rules via energy-independent (constant) scale factor matrices constrained by chiral symmetry. This…

High Energy Physics - Phenomenology · Physics 2025-01-23 Amir H. Fariborz , J. Ho , T. G. Steele

Previous work has shown that mesonic fields in chiral Lagrangians can be systematically connected to quark-level operators in QCD sum rules through chiral-symmetry constrained and energy-independent scale factor matrices. This framework…

High Energy Physics - Phenomenology · Physics 2025-11-04 J. Ho , Amir H. Fariborz , T. G. Steele

Time-reversal-odd ($\mathcal{T}$-odd) nonlinear current response has been theoretically proposed and experimentally confirmed recently. However, the role of disorder scattering in the response, especially whether it contributes to the…

Mesoscale and Nanoscale Physics · Physics 2025-06-24 Yue-Xin Huang , Cong Xiao , Shengyuan A. Yang , Xiao Li

We analyse the extraction of the bound-state form factor from vacuum-to-hadron correlator, which is the basic object for the calculation of hadron form factors in the method of light-cone sum rules in QCD. We study this correlator in…

High Energy Physics - Phenomenology · Physics 2010-04-21 Dmitri Melikhov

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints can be expressed by D-terms and F-terms depending…

High Energy Physics - Theory · Physics 2009-10-31 Kiyoshi Higashijima , Muneto Nitta

We report the first systematic analysis of the off-light-cone effects in sum rules for heavy-to-light form factors. These effects are investigated in a model based on scalar constituents, which allows a technically rather simple analysis…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

The consistency of effective models with QCD is investigated through the use of the QCD sum rule. Taking the potential model for the heavy quark system, we apply the method to two phenomenologically successful parameter sets, and obtain the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Matsuki , K. Yazaki

A new approach of the QCD sum rule is proposed in which positive and negative-parity baryons couple with each other. With positive and negative-parity states explicitly taken into account, sum rules are derived by means of the dispersion…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yoshihiko Kondo , Osamu Morimatsu , Tetsuo Nishikawa

It is well-known that principal chiral models and symmetric space models in two-dimensional Minkowski space have an infinite-dimensional algebra of hidden symmetries. Because of the relevance of symmetric space models to duality symmetries…

High Energy Physics - Theory · Physics 2009-10-28 John H. Schwarz

Techniques for using Gaussian QCD sum-rules to predict hadronic resonance properties are developed for single-resonance and two-resonance phenomenological models, and criteria are developed for determining which of these models is required…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Orlandini , T. G. Steele , D. Harnett

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…

High Energy Physics - Phenomenology · Physics 2015-05-27 Paul M. Hohler , Mikhail A. Stephanov

We compare two widely used approaches to the description of hadron properties: QCD sum rules and constituent quark models. Making use of the dispersion formulation of the quark model, we show that both approaches lead to similar spectral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Melikhov , Silvano Simula

The amplitude of zero angle scattering of electron on photon in the 3-rd QED order of fine structure constant with $\gamma^*\gamma$ intermediate state converting into quark--antiquark is considered. Utilizing analytic properties of elastic…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Bartos , S. Dubnicka , A. Z. Dubnickova , E. A. Kuraev

2-point correlators of vector and axial currents, obtained from tau-decay data, are studied within the framework of perturbative QCD and Operator Product Expansion. Various sum rules, obtained from Borel transformation of the correlators in…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. N. Zyablyuk