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Dynamical chiral-symmetry breaking in QCD is studied with the Schwinger-Dyson (SD) formalism based on lattice QCD data, i.e., LQCD-based SD formalism. We extract the SD kernel function $K(p^2)$ in an Ansatz-independent manner from the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

We propose the Schwinger-Dyson (SD) formalism based on lattice QCD, i.e., LQCD-based SD formalism, for the study of dynamical chiral-symmetry breaking in QCD. We extract the kernel function K(p^2) in the SD equation from the lattice data of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

For the study of dynamical chiral-symmetry breaking (DCSB) in QCD, we investigate the Schwinger-Dyson (SD) formalism based on lattice QCD data. From the quenched lattice data for the quark propagator in the Landau gauge, we extract the SD…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

We revisit the analysis of the improved ladder Schwinger-Dyson (SD) equation for the dynamical chiral symmetry breaking in QCD with emphasizing the importance of the scale ambiguity. Previous calculation done so far naively used one-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michio Hashimoto , Masaharu Tanabashi

The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We show that the bare vertex approximation, in which the vertex…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. N. Leung , S. -Y. Wang

We study corrections to the conformal hyperscaling relation in the conformal window of the large Nf QCD by using the ladder Schwinger-Dyson (SD) equation as a concrete dynamical model. From the analytical expression of the solution of the…

Chiral symmetry breaking and mass generation is studied in a vectorial, confining asymptotic free gauge theory. Using the Schwinger-Dyson equation in improved ladder approximation, we calculate the fermion propagator in the whole Minkowski…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vladimir Sauli

We investigate dynamical chiral symmetry breaking in vector-like gauge theories in $D$ dimensions with ($D-4$) compactified extra dimensions, based on the gap equation (Schwinger-Dyson equation) and the effective potential for the bulk…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Gusynin , M. Hashimoto , M. Tanabashi , K. Yamawaki

We simulate Lattice QED in a constant external magnetic field using the RHMC algorithm. We seek evidence for chiral symmetry breaking predicted by truncated Schwinger-Dyson methods. Since the predicted values of the dynamical electron mass…

High Energy Physics - Lattice · Physics 2022-10-21 D. K. Sinclair , J. B. Kogut

We use the Schwinger-Dyson equations in the presence of a thermal bath, in order to study chiral symmetry breaking in a system of massless Dirac fermions interacting through pseudo quantum electrodynamics (PQED3), in (2+1) dimensions. We…

High Energy Physics - Theory · Physics 2015-11-06 Leandro O. Nascimento , Van Sérgio Alves , Francisco Peña , C. Morais Smith , E. C. Marino

The Schwinger-Dyson equations in the ladder approximation for $2D$ induced gravity coupled to fermions on a flat background are obtained in conformal gauge. A numerical study of these equations shows the possiblity of chiral symmetry…

High Energy Physics - Theory · Physics 2009-09-25 E. Elizalde , S. D. Odintsov , A. Romeo , Yu. I. Shil'nov

The chiral symmetry of QCD is studied at finite temperature and chemical potential using the Schwinger-Dyson equation in the improved ladder approximation. We calculate three order parameters; the vacuum expectation value of the quark…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yusuke Taniguchi , Yuhsuke Yoshida

The dymamical chiral symmetry breaking in higher- derivative quantum gravity has been investigated on the flat background. The Schwinger- Dyson equations numerical solutions have been found in the ladder approximation. Both two- and four-…

High Energy Physics - Theory · Physics 2007-05-23 Y. I. Shil'nov , V. V. Chitov , A. T. Kotwicki

In this paper we examine a phase transition in $SU(N_{c})$ gauge theories governed by the existence of an infrared fixed point of the renormalization group $\beta$ function. The nonlinear integral Schwinger-Dyson equation for a mass…

High Energy Physics - Phenomenology · Physics 2007-10-09 Oleksandr Gromenko

We revisit the strong coupling limit of the Schwinger model on the lattice using staggered fermions and the hamiltonian approach to lattice gauge theories. Although staggered fermions have no continuous chiral symmetry, they posses a…

High Energy Physics - Lattice · Physics 2016-08-25 F. Berruto , G. Grignani , G. W. Semenoff , P. Sodano

The non-perturbative Schwinger-Dyson equation is used to show that chiral symmetry is dynamically broken in QED at weak gauge couplings when an external uniform magnetic field is present. A complete analysis of this phenomenon may shed…

High Energy Physics - Theory · Physics 2007-05-23 Y. Jack Ng

In the framework of the Schwinger-Dyson equation and the Bethe-Salpeter equation in the improved ladder approximation, we calculate the S parameter and an analogue of the \pi^+ - \pi^0 mass difference \Delta m_\pi^2 \equiv m_{\pi^+}^2…

High Energy Physics - Phenomenology · Physics 2009-11-11 Masayasu Harada , Masafumi Kurachi , Koichi Yamawaki

We investigate chiral and conformal properties of the lattice QCD with eight flavors (Nf=8) through meson spectrum using the Highly Improved Staggered Quark (HISQ) action. We also compare our results with those of Nf=12 and Nf=4 which we…

We investigate the spontaneous breaking of chiral symmetry in QCD by means of a recently proposed approximation scheme in the Landau-gauge Curci-Ferrari model, which combines an expansion in the Yang-Mills coupling and in the inverse number…

High Energy Physics - Phenomenology · Physics 2021-11-29 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

We present results from high precision, large volume simulations of the lattice gauge theory corresponding to minimal walking technicolor. We find evidence that the pion decay constant vanishes in the infinite volume limit and that the…

High Energy Physics - Lattice · Physics 2009-10-23 Simon Catterall , Joel Giedt , Francesco Sannino , Joe Schneible
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