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Related papers: (2+1)-Dimensional QED with Dynamically Massive Fer…

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We present results for the QED and strong isospin breaking corrections to the hadronic vacuum polarization using $N_f=2+1$ Domain Wall fermions. QED is included in an electro-quenched setup using two different methods, a stochastic and a…

High Energy Physics - Lattice · Physics 2018-04-18 Peter Boyle , Vera Gülpers , James Harrison , Andreas Jüttner , Christoph Lehner , Antonin Portelli , Christopher Sachrajda

It is shown that in $3+1$ dimensions, a constant magnetic field is a catalyst of dynamical chiral symmetry breaking, leading to generating a fermion mass even at the weakest attractive interaction between fermions. The essence of this…

High Energy Physics - Phenomenology · Physics 2019-08-15 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

We consider Quantum Electrodynamics with an even number $N_f$ of bosonic or fermionic flavors, allowing for interactions respecting at least $U(N_f/2)^2$ global symmetry. Both in the bosonic and in the fermionic case, we find four…

High Energy Physics - Theory · Physics 2019-02-28 Sergio Benvenuti , Hrachya Khachatryan

We argue that the compact three dimensional electrodynamics with massless fermions is always confining, in spite of the bare interaction between the magnetic monopoles being rendered logarithmic by fermions. The effect is caused by…

Strongly Correlated Electrons · Physics 2012-03-05 Igor F. Herbut , Babak H. Seradjeh

We determine the fermion mass dependence of Euclidean finite volume partition functions for three-dimensional QCD in the epsilon-regime directly from the effective field theory of the pseudo-Goldstone modes by using zero-dimensional…

High Energy Physics - Theory · Physics 2009-11-11 Richard J. Szabo

We investigate planar quantum electrodynamics (QED) with two degenerate staggered fermions in an external magnetic field on the lattice. We argue that in external magnetic fields there is dynamical generation of mass for two-dimensional…

High Energy Physics - Lattice · Physics 2015-06-04 Paolo Cea , Leonardo Cosmai , Pietro Giudice , Alessandro Papa

We study the vacuum stability of a model of massless scalar and fermionic fields minimally coupled to a Chern-Simons field. The classical Lagrangian only involves dimensionless parameters, and the model can be thought as a (2+1) dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Alex G. Dias , M. Gomes , A. J. da Silva

At zero temperature and density, the nature of the chiral phase transition in QED$_3$ with $\textit{N}_{f}$ massless fermion flavors is investigated. To this end, in Landau gauge, we numerically solve the coupled Dyson-Schwinger equations…

High Energy Physics - Phenomenology · Physics 2014-08-28 Pei-lin Yin , Zhu-fang Cui , Hong-tao Feng , Hong-shi Zong

We study the effect of a refined electron-photon vertex on the dynamical breaking of chiral symmetry in reduced quantum electrodynamics. We construct an educated {\em ansatz} for this vertex which satisfies the required discrete symmetries…

High Energy Physics - Phenomenology · Physics 2022-11-23 L. Albino , A. Bashir , A. J. Mizher , A. Raya

We reexamine the dynamical generation of mass for fermions charged under various Lie groups with equal charge and mass at a high Grand Unification scale, extending the Renormalization Group Equations in the perturbative regime to two-loops…

High Energy Physics - Phenomenology · Physics 2019-05-22 Felipe J. Llanes-Estrada , Alexandre Salas-Bernárdez

We investigate in some detail a "variational mass" expansion approach, generalized from a similar construction developed in the Gross-Neveu model, to evaluate the basic order parameters of the dynamical breaking of the $SU(2)_L \times…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. -L. Kneur

We perform a general chiral symmetry and unitarity based analysis of a local process of the fermion-antifermion creation from the vacuum by a high-energy photon as well as an explicit partial wave analysis of the vector current in QED and…

High Energy Physics - Phenomenology · Physics 2009-11-06 L. Ya. Glozman , A. V. Nefediev

We propose quite a new method of analyzing the dynamical chiral symmetry breaking in gauge theories. Starting with the non-perturbative renormalization group equation for the Wilsonian fermion potential, we define the weak solution of it in…

High Energy Physics - Theory · Physics 2017-08-23 Ken-Ichi Aoki , Shin-Ichiro Kumamoto , Daisuke Sato

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

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

We investigate the scaling behavior of the critical temperature of anisotropic QED in 2+1 dimensions with respect to a variation of the number of fermions N_f. To this end we determine the order parameter of the chiral transition of the…

High Energy Physics - Phenomenology · Physics 2012-11-12 Jacqueline A. Bonnet , Christian S. Fischer

Theories that support dynamical generation of a fermion mass gap are of widespread interest. The phenomenon is often studied via the Dyson-Schwinger equation (DSE) for the fermion self energy; i.e., the gap equation. When the rainbow…

Nuclear Theory · Physics 2015-06-15 K. Raya , A. Bashir , S. Hernández-Ortiz , A. Raya , C. D. Roberts

We non-perturbatively study the fermion spectrum in the chiral symmetric phase from the Schwinger-Dyson equation with the Feynman gauge, in which we perform an analytic continuation of the solution on the imaginary time axis to the real…

High Energy Physics - Phenomenology · Physics 2008-01-24 Masayasu Harada , Yukio Nemoto , Shunji Yoshimoto

In (2+1)-dimensional QED with a Chern-Simons term, we show that spontaneous magnetization occurs in the context of finite density vacua, which are the lowest Landau levels fully or half occupied by fermions. Charge condensation is shown to…

High Energy Physics - Theory · Physics 2011-06-16 Taichi Itoh , Hiroshi Kato

Dynamical symmetry breaking in three dimensional QED with $N$ flavors, which has been mostly analyzed by solving the Schwinger-Dyson equations, is investigated by means of the approximated Wilson, or non-perturbative, renormalization group…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Kubota , H. Terao