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Related papers: Universal Scale Factors: A Bridge Between Chiral L…

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We derive commensurate scale relations which relate perturbatively calculable QCD observables to each other, including the annihilation ratio, the heavy quark potential, tau decay, and radiative corrections to structure function sum rules.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky , Hung Lung Lu

Universality of multicritical unitary matrix models is shown and a new scaling behavior is found in the microscopic region of the spectrum, which may be relevant for the low energy spectrum of the Dirac operator at the chiral phase…

High Energy Physics - Theory · Physics 2009-10-31 G. Akemann

We show the universality of phase diagrams in QCD and QCD-like theories through the large-N_c equivalence. The whole phase diagrams are identical between QCD at finite isospin chemical potential and SO(2N_c) and Sp(2N_c) gauge theories at…

High Energy Physics - Lattice · Physics 2012-03-21 Masanori Hanada , Naoki Yamamoto

Assuming the spin-independence for confining force, we give a covariant quark representation of general composite meson systems with definite Lorentz transformation properties. For benefit of this representation we are able to deduce…

High Energy Physics - Phenomenology · Physics 2009-10-31 Shin Ishida , Muneyuki Ishida , Tomohito Maeda

Several recent papers -using effective QCD chiral Lagrangians- reproduced results obtained with the general QCD parameterization (GP). These include the baryon 8+10 mass formula, the octet magnetic moments and the coincidental nature of the…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. Dillon , G. Morpurgo

In this paper, we show that the chiral soliton lattice (ChSL) is, in a precise sense, a universal feature of the low-energy limit of QCD minimally coupled to Maxwell theory. Here, we disclose that not only can the ChSL be obtained from the…

High Energy Physics - Theory · Physics 2026-05-21 Fabrizio Canfora , Nicolás Grandi , Marcela Lagos , Luis Urrutia-Reyes , Aldo Vera

We use chiral perturbation theory to study the extrapolations necessary to make physical predictions from lattice QCD data for the electromagnetic form factors of pseudoscalar mesons. We focus on the quark mass, momentum, lattice spacing,…

High Energy Physics - Lattice · Physics 2014-11-17 T. B. Bunton , F. -J. Jiang , B. C. Tiburzi

The external-field QCD Sum Rules method is used to evaluate the coupling constants of the light-isoscalar scalar meson (``\sigma'' or \epsilon) to the \Lambda, \Sigma, and \Xi baryons. It is shown that these coupling constants as calculated…

Nuclear Theory · Physics 2008-11-26 G. Erkol , M. Oka , Th. A. Rijken , R. G. E. Timmermans

In the framework of a specific scheme of the QCD sum rules for $S$-wave levels of the heavy quarkonium, one derives expressions, relating the leptonic constants, the energetic density of quarkonium states and universal characteristics in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kiselev V.

We perform a systematic study of two-meson form factors of the scalar, vector, and anti-symmetric tensor types within the framework of the $U(3)$ resonance chiral theory. The complete perturbative form factors in both the…

High Energy Physics - Phenomenology · Physics 2026-05-15 Jin Hao , Chun-Gui Duan , Zhi-Hui Guo , J. Oller , J. Ruiz de Elvira

Mesons are extended objects, hence their interaction can be described by utilizing form factors. At the Lagrangian level, one can use nonlocal interaction terms. Here we describe two possible nonlocal Lagrangians leading to a 3D form…

High Energy Physics - Phenomenology · Physics 2016-07-07 Milena Soltysiak , Francesco Giacosa

Meson transition amplitudes of the vector, axial-vector, and tensor quark currents are analyzed within dispersion formulation of the constituent quark model. The form factors in the decay region are given by relativistic double spectral…

High Energy Physics - Phenomenology · Physics 2009-10-30 Dmitri Melikhov

We review some motivation behind the introduction of chiral random matrix models in QCD, with particular emphasis on the importance of the Gell-Mann-Oakes (GOR) relation for these arguments. We show why the microscopic limit is universal in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed

We discuss universal scaling properties of (2+1)-flavor QCD in the vicinity of the chiral phase transition at vanishing as well as non-vanishing light quark chemical potential (mu_l). We provide evidence for O(N) scaling of the chiral order…

High Energy Physics - Lattice · Physics 2011-03-10 Frithjof Karsch

A general form factor formula for the scaling Z(N)-Ising model is constructed. Exact expressions for matrix elements are obtained for several local operators. In addition, the commutation rules for order, disorder parameters and para-Fermi…

High Energy Physics - Theory · Physics 2008-11-26 H. Babujian , A. Foerster , M. Karowski

In the $\varepsilon$-regime of chiral perturbation theory the spectral correlations of the Euclidean QCD Dirac operator close to the origin can be computed using random matrix theory. To incorporate the effect of temperature, a random…

Mathematical Physics · Physics 2022-01-05 Gernot Akemann , Tim R. Würfel

In this work, expanding on previous analyses, we employ an effective Lagrangian approach to investigate the mass spectrum of scalar and pseudoscalar mesons at finite temperature, above the (pseudo-)critical temperature $T_c$, in a…

High Energy Physics - Phenomenology · Physics 2026-05-21 Giulio Cianti , Enrico Meggiolaro

We study the relation between the scale of chiral symmetry spontaneously breaking and constituent quark mass. We argue that this relation partly reveals strong interaction origination of chiral symmetry breaking. We show that the relation…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mu-Lin Yan , Yi-Bin Huang , Xiao-Jun Wang

A relation among the form factors of $<D \mid A_\mu \mid D^*>$ at $q^2 \to 0$ is derived. It is verified to lowest order in both the $1/m_c$ expansion and the expansion in number of derivatives using the effective lagrangian that…

High Energy Physics - Phenomenology · Physics 2020-03-17 Claudio O. Dib , J. Taron

In the framework of QCD sum rules one uses a scheme, allowing one to apply the conditions of both nonrelativistic heavy quark motion inside mesons and independence of nonsplitting nS-state density on the heavy quark flavours. In the leading…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. V. Kiselev