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Related papers: Infrared self-consistent solutions of spinor QED3

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We discuss the structure of the dressed fermion propagator in unquenched QED3 based on spectral function of photon.In this approximation infrared divergences that appeared in quenched case turns out to be soft.The dimension full coupling…

High Energy Physics - Theory · Physics 2007-05-23 Yuichi Hoshino

We solve, analytically and numerically, a gap equation in parity invariant QED_3 in the presence of an infrared cutoff \mu and derive an expression for the critical fermion number N_c as a function of \mu. We argue that this dependence of…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. P. Gusynin , M. Reenders

We study chiral symmetry breaking in QCD-like gauge theories introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamical gauge boson mass generation. The effective confining…

High Energy Physics - Phenomenology · Physics 2015-05-28 A. Doff , F. A. Machado , A. A. Natale

Recent progress in the solution of Schwinger-Dyson equations (SDE), as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared (IR) finite. We discuss how this non-perturbative…

High Energy Physics - Phenomenology · Physics 2011-07-14 A. A. Natale

We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating…

High Energy Physics - Phenomenology · Physics 2010-12-23 Christoph P. Hofmann , Alfredo Raya , Saúl Sánchez Madrigal

We present novel lattice results for the form factors of the quenched three-gluon vertex of QCD, in two special kinematic configurations that depend on a single momentum scale. We consider three form factors, two associated with a classical…

High Energy Physics - Phenomenology · Physics 2021-05-12 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , J. Rodríguez-Quintero

The fermion propagator is studied in the whole Minkowski space with the help of the Schwinger-Dyson equations. Various integral representations are employed to get solutions for the dynamical breaking of chiral symmetry in different regimes…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Sauli , J. Adam , P. Bicudo

To remove the linear infrared divergences in quenched approximation we include the massive fermion loop to the photon spectral function.Spectral function of fermion has no one particle singularity if we fix the anomalous dimension to be…

High Energy Physics - Theory · Physics 2017-08-23 Yuichi Hoshino

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , C. S. Fischer , F. Llanes-Estrada , K. Schwenzer

Three quantum particles with on-site repulsion and nearest-neighbour attraction on a one-dimensional lattice are considered. The three-body Schroedinger equation is reduced to a set of single-variable integral equations. Energies of…

Strongly Correlated Electrons · Physics 2015-06-16 Pavel E. Kornilovitch

Spectroscopic labels for a few particles with spin that are harmonically trapped in one-dimension with effectively zero-range interactions are provided by quantum numbers that characterize the symmetries of the Hamiltonian: permutations of…

Quantum Physics · Physics 2014-05-28 N. L. Harshman

We study the Schwinger-Dyson equation for the fermion self-energy in massless and massive $QED_2$, in the ladder approximation. When the fermion is massless (and the photon massless or massive), we check the reliability of this…

High Energy Physics - Theory · Physics 2017-12-21 C. D. Fosco , T. Matsuyama

We discuss the chirally symmetric solution of the massless, quenched, Dyson-Schwinger equation for the fermion propagator in three and four dimensions. The solutions are manifestly gauge covariant. We consider a gauge covariance constraint…

High Energy Physics - Phenomenology · Physics 2010-03-04 Zhihua Dong , Herman J. Munczek , Craig D. Roberts

The standard approximations of the Dyson--Schwinger equation lead to complex singularities of the fermion propagator. In three-dimensional QED one can show that this phenomenon might be related to confinement: a confining potential leads to…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Maris

Non-Fermi liquids in $d=2$ spatial dimensions can arise from coupling a Fermi surface to a gapless boson. At finite temperature, however, the perturbative quantum field theory description breaks down due to infrared divergences. These are…

Strongly Correlated Electrons · Physics 2020-08-05 Jeremias Aguilera Damia , Mario Solis , Gonzalo Torroba

We evaluate the propagator of scalar and spinor in three dimensional quantum electrodynamics with the use of Ward-Identity for soft-photon emission vertex.We work well in position space to treat infrared divergences in our model.…

High Energy Physics - Theory · Physics 2009-11-10 Y. Hoshino

The problem of a fermion subject to a general mixing of vector and scalar potentials in a two-dimensional world is mapped into a Sturm-Liouville problem. Isolated bounded solutions are also searched. For the specific case of an inversely…

High Energy Physics - Theory · Physics 2009-11-10 Antonio S. de Castro

Two-component spinors are the basic ingredients for describing fermions in quantum field theory in four space-time dimensions. We develop and review the techniques of the two-component spinor formalism and provide a complete set of Feynman…

High Energy Physics - Phenomenology · Physics 2022-05-25 Herbi K. Dreiner , Howard E. Haber , Stephen P. Martin

We study the zero-energy collision of three identical spin-polarized fermions with short-range interactions in one dimension. We derive the asymptotic expansions of the three-body wave function when the three fermions are far apart or one…

Quantum Gases · Physics 2023-07-12 Zipeng Wang , Shina Tan

We non-perturbatively study the fermion spectrum in the chiral symmetric phase focusing on the effects of in-medium corrections for gauge boson. The fermion spectrum is derived by solving the Schwinger-Dyson equation (SDE) with ladder…

High Energy Physics - Phenomenology · Physics 2009-04-01 Masayasu Harada , Shunji Yoshimoto