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Related papers: On Renormalized Strong-Coupling Quenched QED in Fo…

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We study renormalized quenched strong-coupling QED in four dimensions in arbitrary covariant gauge, in the Dyson-Schwinger equation formalism. Above the chiral critical coupling, we show that there is no finite chiral limit. This behaviour…

High Energy Physics - Phenomenology · Physics 2007-05-23 Frederick T. Hawes , Tom Sizer , Anthony G. Williams

We study chiral symmetry breaking in quenched strong-coupling QED$_4$ in arbitrary covariant gauge within the Dyson-Schwinger equation formalism. A recently developed numerical renormalization program is fully implemented. Results are…

High Energy Physics - Lattice · Physics 2008-11-26 A. G. Williams , F. T. Hawes

We extend a previous Landau-gauge study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in strong-coupling, quenched QED_4 to arbitrary covariant gauges. We use the fermion-photon proper vertex…

High Energy Physics - Phenomenology · Physics 2010-03-04 Frederick T. Hawes , Anthony G. Williams , Craig D. Roberts

In this paper we study dynamical chiral symmetry breaking in dimensionally regularized quenched QED within the context of Dyson-Schwinger equations. In D < 4 dimensions the theory has solutions which exhibit chiral symmetry breaking for all…

High Energy Physics - Theory · Physics 2010-03-04 V. P. Gusynin , A. W. Schreiber , T. Sizer , A. G. Williams

The coupled system of renormalized Dyson-Schwinger equations for the electron self-energy and the photon propagator are supplied with the tree level vertex as Ansatz for the renormalized three point function. The system is investigated…

High Energy Physics - Phenomenology · Physics 2009-09-25 Kurt Langfeld

We examine the Dyson-Schwinger equation for the fermion propagator in quenched QED in three and four dimension based on spectral representation with vertex ansatz which preserves Ward-Takahashi Identity.An appropriate renormalization within…

High Energy Physics - Theory · Physics 2007-05-23 Y. Hoshino

We present results from a study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in massive strong-coupling quenched QED$_4$. Results are compared for three different fermion-photon proper vertex {\it…

High Energy Physics - Phenomenology · Physics 2016-09-01 Frederick T. Hawes , Anthony G. Williams

We investigate dynamical chiral symmetry breaking in unquenched ${QED}_3$ using the coupled set of Dyson--Schwinger equations for the fermion and photon propagators. For the fermion-photon interaction we employ an ansatz which satisfies its…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , R. Alkofer , T. Dahm , P. Maris

Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions. Herein I provide a…

Nuclear Theory · Physics 2007-05-23 Craig D. Roberts

We review the results of large scale simulations of noncompact quenched $QED$ which use spectrum and Equation of State calculations to determine the theory's phase diagram, critical indices, and continuum limit. The resulting anomalous…

High Energy Physics - Lattice · Physics 2009-10-22 Mp Lombardo , J. B. Kogut , A. Kocic , K. C. Wang

We critically examine a version of the top mode standard model recently cast in extra dimensions by Arkani-Hamed, Cheng, Dobrescu, and Hall, based on the (improved) ladder Schwinger-Dyson (SD) equation for the D-(=6,8-)-dimensional gauge…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michio Hashimoto , Masaharu Tanabashi , Koichi Yamawaki

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

There has been growing interest in studying the behaviour of QED in its strong coupling limit. The reason for this is not only that it serves as a simple prototype gauge theory for testing nonperturbative calculational techniques which one…

Nuclear Theory · Physics 2009-10-30 A. W. Schreiber , C. Alexandrou , R. Rosenfelder

A non-perturbative construction of the 3-point fermion-boson vertex which obeys its Ward-Takahashi or Slavnov-Taylor identity, ensures the massless fermion and boson propagators transform according to their local gauge covariance relations,…

High Energy Physics - Phenomenology · Physics 2015-05-30 Adnan Bashir , Alfredo Raya , Saul Sanchez-Madrigal

We consider a scalar quantum field theory with global $O(N)^3$ symmetry in four Euclidean dimensions and solve it numerically in closed form in the large-N limit. For imaginary tetrahedral coupling the theory is asymptotically free, with…

High Energy Physics - Theory · Physics 2024-09-04 Jürgen Berges , Razvan Gurau , Hannes Keppler , Thimo Preis

Using the nonperturbative Schwinger-Dyson equation, we show that chiral symmetry in weak-coupling massless QED is dynamically broken by a constant but arbitrarily strong external magnetic field.

High Energy Physics - Theory · Physics 2015-06-26 C. N. Leung , Y. J. Ng , A. W. Ackley

In quenched QED we construct a non-perturbative fermion-boson vertex that ensures the fermion propagator satisfies the Ward-Takahashi identity, is multiplicatively renormalizable, agrees with perturbation theory for weak couplings and has a…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Bashir , M. R. Pennington

We present a quantitative analysis of chiral symmetry breaking in two-flavour continuum QCD in the quenched limit. The theory is set-up at perturbative momenta, where asymptotic freedom leads to precise results. The evolution of QCD towards…

High Energy Physics - Phenomenology · Physics 2015-04-01 Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

Chiral symmetry is dynamically broken in quenched, ladder QED at weak gauge couplings when an external magnetic field is present. In this paper, we show that chiral symmetry is restored above a critical chemical potential and the…

High Energy Physics - Theory · Physics 2008-11-26 D. -S. Lee , C. N. Leung , Y. J. Ng

We explore the conditions for chiral symmetry breaking in reduced (or pseudo) quantum electrodynamics at finite temperature in connection with graphene and other 2D-materials with an underlying Dirac behavior of the charge carriers. By…

High Energy Physics - Theory · Physics 2020-09-30 Jean Báez , Alfredo Raya , J. C. Rojas
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