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The phase diagram of the frustrated 2D classical and 1D quantum XY models is calculated analytically. Four transitions are found: the vortex unbinding transitions triggered by strong fluctuations occur above and below the chiral transition…

Statistical Mechanics · Physics 2015-06-16 H. Schenck , V. L. Pokrovsky , T. Nattermann

We study three dimensional quenched Quantum Electrodynamics in the bare vertex approximation. We investigate the gauge dependence of the dynamically generated Euclidean mass of the fermion and the chiral condensate for a wide range of…

High Energy Physics - Phenomenology · Physics 2009-08-11 A. Bashir , A. Huet , A. Raya

Dynamical symmetry breaking in three-dimensional QED with N fermion flavours is considered at finite temperature, in the large $N$ approximation. Using an approximate treatment of the Schwinger-Dyson equation for the fermion self-energy, we…

High Energy Physics - Phenomenology · Physics 2016-09-01 I. J. R. Aitchison , N. Dorey , M. Klein-Kreisler , N. E. Mavromatos

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

The Landau-Ginzburg-Wilson hamiltonian is studied for different values of the parameter $\lambda$ which multiplies the quartic term (it turns out that this is equivalent to consider different values of the coherence length $\xi$ in units of…

Superconductivity · Physics 2009-10-31 G. Alvarez , H. Fort

We study the chiral phase transition of QCD at finite temperature and density by numerically solving Schwinger-Dyson equation for the quark propagator with the improved ladder approximation in the Landau gauge. Using the solution we…

High Energy Physics - Phenomenology · Physics 2011-08-17 Masayasu Harada , Akihiro Shibata

We investigate the thermal QCD phase transition and its scaling properties on the lattice. The simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at pion masses from physical up to heavy quark regime. We introduce a…

High Energy Physics - Lattice · Physics 2022-04-12 A. Yu. Kotov , M. P. Lombardo , A. Trunin

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 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 confinement-deconfinement phase transition is explored by lattice numerical simulations in non-compact (2+1)-dimensional quantum electrodynamics with massive fermions at finite temperature. The existence of two phases, one with and the…

High Energy Physics - Lattice · Physics 2008-12-18 Roberto Fiore , Pietro Giudice , Alessandro Papa

(2+1) dimensional gravity is equivalent to an exactly soluble non-Abelian Chern-Simons gauge field theory (E Witten 1988). Regarding this as the topological phase of quantum gravity in (2+1)d, we suggest a topological symmetry breaking by…

High Energy Physics - Theory · Physics 2007-05-23 Wei Chen

The catalysis of chiral symmetry breaking by a magnetic field in the massless weak-coupling phase of QED is studied. The dynamical mass of a fermion (energy gap in the fermion spectrum) is shown to depend essentially nonanalytically on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Valery P. Gusynin

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

We investigate the critical behaviour of a three-dimensional lattice $\chiU\phi_3$ model in the chiral limit. The model consists of a staggered fermion field, a U(1) gauge field (with coupling parameter $\beta$) and a complex scalar field…

High Energy Physics - Lattice · Physics 2009-10-31 I. M. Barbour , N. Psycharis , E. Focht , W. Franzki , J. Jersak

In order for clarifying what are the essential thermal effects that govern the chiral phase transition at finite temperature, we investigate, in the real-time thermal QED, the consequences of the Hard-Thermal-Loop (HTL) resummed…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yuko Fueki , Hisao Nakkagawa , Hiroshi Yokota , Koji Yoshida

The chiral phase transition of the strongly interacting matter is investigated at nonzero temperature and baryon chemical potential mu_B within an extended (2+1) flavor Polyakov constituent quark-meson model which incorporates the effect of…

High Energy Physics - Phenomenology · Physics 2016-09-09 Peter Kovács , Zsolt Szép , György Wolf

Quenched studies of a global U(1) symmetric Wilson-Yukawa model in two dimensions show no evidence of a charged fermion in the vortex phase at strong Wilson-Yukawa coupling while there is strong indication of a massive neutral fermion.…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Asit K. De , Erich Focht , Jan Smit

Compact lattice Quantum Electrodynamics (QED) with four species of fermions is simulated with massless quarks by using the $\chi$QED scheme of adding a four-fermi interaction to the action. Simulations directly in the chiral limit of…

High Energy Physics - Lattice · Physics 2008-11-26 John B. Kogut , Costas G. Strouthos

We study quenched QCD just above the phase transition temperature using overlap Fermions. Exact zero modes of the overlap operator are localized. Chiral symmetry is restored, as indicated by the behavior of the chiral condensate after…

High Energy Physics - Lattice · Physics 2015-06-25 R. V. Gavai , Sourendu Gupta , R. Lacaze

We present results from numerical simulations of the (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry and N_f=4 fermion species at non-zero temperature. We provide evidence that there are two different chirally symmetric…

High Energy Physics - Lattice · Physics 2009-11-07 S. J. Hands , J. B. Kogut , C. G. Strouthos