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We show how such important features of QCD as chiral symmetry breaking or the formation of a mass-gap can be directly traced from QCD sum rules for two point functions assuming, in the large number of colors limit, exact duality between the…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. S. Afonin , D. Espriu

We present an update of our project of computing the meson spectrum and decay constants in large-N QCD. The results are obtained in the quenched approximation with the Wilson fermion action for N = 2, 3, 4, 5, 6, 7 and 17 and extrapolated…

High Energy Physics - Lattice · Physics 2014-05-02 Gunnar S. Bali , Luca Castagnini , Biagio Lucini , Marco Panero

We consider the chiral Lagrangian for baryon fields with J^P =\frac{1}{2}^+ or J^P =\frac{3}{2}^+ quantum numbers as constructed from QCD with up, down and strange quarks. The specific class of counter terms that are of chiral order Q^3 and…

High Energy Physics - Phenomenology · Physics 2019-12-04 Yonggoo Heo , C. Kobdaj , M. F. M. Lutz

Fundamental aspects of nonperturbative QCD dynamics which are not obvious from its classical Lagrangian, such as the emergence of a mass scale and confinement, the existence of a zero mass bound state, the appearance of universal Regge…

High Energy Physics - Phenomenology · Physics 2017-04-05 Guy F. de Teramond , Stanley J. Brodsky , Alexandre Deur , Hans Gunter Dosch , Raza Sabbir Sufian

An overarching scientific challenge for the coming decade is to discover the meaning of confinement, its relationship to dynamical chiral symmetry breaking (DCSB) - the origin of visible mass - and the connection between them. In…

Nuclear Theory · Physics 2016-06-22 Craig D. Roberts

Recent studies of QCD Green's functions and their applications in hadronic physics are reviewed. We briefly discuss the issues of gauge fixing, BRS invariance and positivity. Evidence for the violation of positivity by quarks and transverse…

High Energy Physics - Phenomenology · Physics 2010-02-18 Reinhard Alkofer , Lorenz von Smekal

We study confinement and chiral symmetry breaking phase transitions for QCD and supersymmetric QCD. The method is based on some justified assumption regarding the behavior of the Green function relevant for the potential between two charges…

High Energy Physics - Phenomenology · Physics 2018-09-07 Renata Jora

Consideration of the analytic properties of pion-induced baryon self energies leads to new functional forms for the extrapolation of light baryon masses. These functional forms reproduce the leading non-analytic behavior of chiral…

Nuclear Theory · Physics 2010-02-17 Anthony W. Thomas , Derek B. Leinweber , Kazuo Tsushima , Stewart V. Wright

These lectures are designed to introduce the methods and results of large N_c QCD in a presentation intended for nuclear and particle physicists alike. Beginning with definitions and motivations of the approach, we demonstrate that all…

Nuclear Theory · Physics 2014-11-18 Richard F. Lebed

By applying the closed-time-path Green function formalism to the chiral dynamical model based on an effective Lagrangian of chiral quarks with the nonlinear-realized meson fields as bosonized auxiliary fields, we then arrive at a chiral…

High Energy Physics - Phenomenology · Physics 2012-03-02 Da Huang , Yue-Liang Wu

In these lectures, we present the behavior of conventional $\bar{q}q$ mesons, glueballs, and hybrids in the large-$N_{c}$ limit of QCD. To this end, we use an approach based on rather simple NJL-like bound-state equations. The obtained…

High Energy Physics - Phenomenology · Physics 2024-05-17 Francesco Giacosa

Mass spectra of heavy baryons are calculated in the heavy-quark--light-diquark picture in the framework of the QCD-motivated relativistic quark model. The dynamics of light quarks in the diquark as well as the dynamics of the heavy quark…

High Energy Physics - Phenomenology · Physics 2011-08-09 D. Ebert , R. N. Faustov , V. O. Galkin

We report on recent progress on the chiral unitary approach, which is shown to have a much larger convergence radius than ordinary chiral perturbation theory, allowing one to reproduce data for meson meson interaction up to 1.2 GeV and…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. Oset , A. Hosaka , J. C. Nacher , M. Oka , J. A. Oller , A. Parreno , J. R. Pelaez , A. Ramos , H. Toki

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

We provide further evidence for the screening behavior of massless SU(N_c) bosonized QCD by (i) computing the potential between external quarks, (ii) bosonizing also the external sources and analyzing the states of the combined system and…

High Energy Physics - Theory · Physics 2007-05-23 J. Sonnenschein

We derive the chiral effective Lagrangian for heavy-light mesons in the heavy quark limit from QCD under proper approximations. The low energy constants in the effective Lagrangian are expressed in terms of the light quark self-energy. With…

High Energy Physics - Phenomenology · Physics 2020-09-02 Qing-Sen Chen , Hui-Feng Fu , Yong-Liang Ma , Qing Wang

I review some key aspects of the ongoing progress in our understanding of the infrared dynamics of the QCD Green's functions, derived from the close synergy between Schwinger-Dyson equations and lattice simulations. Particular attention is…

High Energy Physics - Phenomenology · Physics 2015-09-02 J. Papavassiliou

I discuss the recent attempts to build an effective chiral Lagrangian incorporating massive resonance states. A useful approximation scheme to organize the resonance Lagrangian is provided by the large-Nc limit of QCD. Integrating out the…

High Energy Physics - Phenomenology · Physics 2009-06-25 Antonio Pich

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. It can be proven that the ghost Dyson-Schwinger equation implies the Gribov-Zwanziger horizon condition. Its relation to the Kugo-Ojima…

High Energy Physics - Phenomenology · Physics 2008-11-26 Reinhard Alkofer

We had previously obtained an integral equation for mesons in transverse lattice QCD, in the limit of large number of colours and strong transverse lattice gauge coupling [1]. This equation is a generalisation of the 't Hooft equation [2],…

High Energy Physics - Lattice · Physics 2007-05-23 Apoorva D. Patel , Raghunath Ratabole