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Related papers: On the structure of two-point Green-functions at n…

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In this paper we investigate the high-energy behavior of two-point and three-point Green functions of the QCD chiral currents and densities using the framework of the operator product expansion in the chiral limit. In detail, we study the…

High Energy Physics - Phenomenology · Physics 2020-12-02 Tomas Kadavy , Karol Kampf , Jiri Novotny

The nonlocal order parameters of the QCD chiral symmetry breaking, namely the nonanomalous three-point Green functions of the quark bilinears belonging to the odd intrinsic parity sector, are studied within the framework of the Resonance…

High Energy Physics - Phenomenology · Physics 2023-04-05 Tomas Kadavy , Karol Kampf , Jiri Novotny

Using the 1/N_C expansion scheme and truncating the hadronic spectrum to the lowest-lying multiplets of resonances we develop a procedure to implement QCD information on the non-perturbative regime populated by resonances through the use of…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Portoles

We investigate two specific Green functions in the framework of chiral perturbation theory. We show that, using analyticity and unitarity, their leading logarithmic singularities can be evaluated in the chiral limit to any desired order in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Moritz Bissegger , Andreas Fuhrer

Green functions in a quantum field theory can be expanded as bivariate series in the coupling and a scale parameter. The leading logs are given by the main diagonal of this expansion, i.e. the subseries where the coupling and the scale…

Mathematical Physics · Physics 2020-03-18 Julien Courtiel , Karen Yeats

Within Resonance Chiral Theory and in the context of QCD current correlators at next-to-leading order in 1/N(C), we have analyzed the two-body form factors which include resonances as a final state . The short-distance constraints have been…

High Energy Physics - Phenomenology · Physics 2009-11-13 Ignasi Rosell

Since order parameter of the chiral symmetry breaking Green Functions are a useful link between the OPE expansion and chiral perturbation theory we perform a calculation to the NLO in alpha_s, working in the chiral limit, for all the 2 and…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Mateu

We study extremal correlation functions of chiral primary operators in the large-N SU(N) ${\cal N} = 2$ superconformal QCD theory and present new results based on supersymmetric localization. We discuss extensively the basis-independent…

High Energy Physics - Theory · Physics 2017-03-08 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas , Gideon Vos

The properties of the gauge invariant two-point quark Green's function are studied in the large-Nc limit of two-dimensional QCD. The analysis is done by means of an exact integrodifferential equation. The Green's function is found infrared…

High Energy Physics - Phenomenology · Physics 2012-01-31 H. Sazdjian

There has recently been surprising progress in understanding the spin and flavor dependence of deep inelastic structure functions in terms of the same physics needed in the simple quark models used for hadronic spectroscopy. However, the…

High Energy Physics - Phenomenology · Physics 2010-03-26 F. M. Steffens , A. W. Thomas

In this work we push the matching between the QCD operator product expansion (OPE) and resonance chiral theory (RchiT) to order alpha_s. To this end we compute two- and three-point QCD Green functions (GFs) in both theories and compare the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Jamin , Vicent Mateu

We analyse within the framework of resonance chiral theory the $\langle SA_\mu A_\nu \rangle$ and $\langle SV_\mu V_\nu \rangle$ three-point Green functions, where $S$, $A_{\mu} $ and $V_{\mu}$ are short for scalar, axial-vector and vector…

High Energy Physics - Phenomenology · Physics 2021-03-16 Ling-Yun Dai , Javier Fuentes-Martin , Jorge Portoles

It is performed for the first time a next-to-next-to-leading order analysis of deep inelastic structure functions $F_2$ and $F_L$ using the recently determined first moments of the non-singlet anomalous dimensions and the corresponding…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Kotikov , V. G. Krivokhizhin , G. Parente

The chirally unbroken and the superconducting 2SC and CFL phases are investigated in the chiral limit within a Dyson-Schwinger approach for the quark propagator in QCD. The hierarchy of Green's functions is truncated such that at vanishing…

High Energy Physics - Phenomenology · Physics 2009-11-11 Dominik Nickel , Jochen Wambach , Reinhard Alkofer

A proper estimation of the chiral low-energy constants of Chiral Perturbation Theory is a very important task. To this end resonance chiral Lagrangians have been used fruitfully. We have studied the determination of chiral couplings at…

High Energy Physics - Phenomenology · Physics 2009-05-28 Ignasi Rosell

We show that Green function methods can be straightforwardly applied to nonlinear equations appearing as the leading order of a short time expansion. Higher order corrections can be then computed giving a satisfactory agreement with…

High Energy Physics - Theory · Physics 2008-11-26 Marco Frasca

In the preceding paper(Prog.Theor.Phys.108(2002)929 or hep-ph/0207255), we have shown that the critical line of the first order chiral transition of QCD can have two endpoints. In this addendum, we elucidate the mechanism to realize the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Masakiyo Kitazawa , Tomoi Koide , Teiji Kunihiro , Yukio Nemoto

We extend previous work on conformally covariant differential operators to consider the case of second order operators acting on symmetric traceless tensor fields. The corresponding flat space Green function is explicitly constructed and…

General Relativity and Quantum Cosmology · Physics 2009-10-30 J. Erdmenger , H. Osborn

This talk comments the main features of a hadronic description of QCD in the limit of large number of colours. We derive a quantum field theory for mesons based on chiral symmetry and a perturbative expansion in 1/NC. Some large-NC and…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. J. Sanz-Cillero

The gauge invariant quark Green's function with a path-ordered phase factor along a straight-line is studied in two-dimensional QCD in the large-Nc limit by means of an exact integrodifferential equation. Its spectral functions are…

High Energy Physics - Phenomenology · Physics 2010-07-26 H. Sazdjian
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