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Fermion propagator of the Schwinger Model is revisited from the point of view of its infrared behavior. The values of anomalous dimensions are found in arbitrary covariant gauge and in all contributing instanton sectors. In the case of a…

高能物理 - 理论 · 物理学 2008-11-26 Tomasz Radozycki

We study, by numerical simulations on a lattice, the dependence of the gauge-invariant two-point field-strength correlators in QCD on the path used to perform the color parallel transport between the two points.

高能物理 - 格点 · 物理学 2009-11-07 A. Di Giacomo , E. Meggiolaro

The SU(3) gauge theory with fermions in the sextet representation is one of several theories of interest for technicolor models. We have carried out a Schrodinger functional (SF) calculation for the lattice theory with two flavors of Wilson…

高能物理 - 格点 · 物理学 2010-01-15 Benjamin Svetitsky , Yigal Shamir , Thomas DeGrand

Using the Zumino identities it is shown that in a class of non-local gauges, massless QED_3 has an infrared behaviour of a conformal field theory with a continuously varying anomalous dimension of the fermion. In the usual Lorentz gauge,…

高能物理 - 理论 · 物理学 2008-11-26 Indrajit Mitra , Raghunath Ratabole , H. S. Sharatchandra

In previous work we have presented scheme-independent calculations of physical properties of operators at a conformally invariant infrared fixed point in an asymptotically free gauge theory with gauge group $G$ and $N_f$ fermions in a…

高能物理 - 理论 · 物理学 2018-11-14 Thomas A. Ryttov , Robert Shrock

Using lattice simulations, we study the infrared behavior of a particularly interesting SU(2) gauge theory, with six massless Dirac fermions in the fundamental representation. We compute the running gauge coupling derived non-perturbatively…

We construct the gauge invariant fermion correlator in the Schwinger model on the torus. At zero temperature, this correlator falls off with a rate given by the Coulomb energy of an infinitely heavy charge. At high temperature, the…

高能物理 - 理论 · 物理学 2009-10-28 James Steele , Jacobus Verbaarschot , Ismail Zahed

We compute the running of the coupling in SU(2) gauge theory with six fermions in fundamental representation of the gauge group. We establish an infrared stable fixed point at strong coupling and measure also the anomalous dimension of the…

高能物理 - 格点 · 物理学 2018-11-30 Viljami Leino , Kari Rummukainen , Joni M. Suorsa , Kimmo Tuominen , Sara Tähtinen

We extend the gauge invariant variational approach of Phys. Rev. D52 (1995) 3719, hep-th/9408081, to theories with fermions. As the simplest example we consider the massless Schwinger model in 1+1 dimensions. We show that in this solvable…

高能物理 - 理论 · 物理学 2009-10-31 William E. Brown , Juan P. Garrahan , Ian I. Kogan , Alex Kovner

We study the strongly coupled 2-flavor lattice Schwinger model and the SU(2)-color QCD_2. The strong coupling limit, even with its inherent nonuniversality, makes accurate predictions of the spectrum of the continuum models and provides an…

高能物理 - 格点 · 物理学 2015-06-25 F. Berruto , E. Coletti , G. Grignani , P. Sodano

We perform perturbative computations in a lattice gauge theory with a conformal measure that is quadratic in a non-compact abelian gauge field and is nonlocal, as inspired by the induced gauge action in massless QED$_3$. In a previous work,…

高能物理 - 格点 · 物理学 2023-01-11 Nikhil Karthik , Matthew Klein , Rajamani Narayanan

In this work we consider a coupled system of Schwinger-Dyson equations for self-energy and vertex functions in QED_3. Using the concept of a semi-amputated vertex function, we manage to decouple the vertex equation and transform it in the…

高能物理 - 理论 · 物理学 2009-10-31 N. E. Mavromatos , J. Papavassiliou

We study the behavior of the dynamical fermion mass when infrared divergences and mass shell singularities are present in a gauge theory. In particular, in the massive Schwinger model in covariant gauges we find that the pole of the fermion…

高能物理 - 理论 · 物理学 2015-06-12 Ashok K. Das , J. Frenkel , C. Schubert

We study the behavior of the pole of the fermion propagator, in QED in $n$-dimensions, in a general class of gauges which interpolate between the covariant, the axial and the Coulomb gauges. We use Nielsen identities, following from the…

高能物理 - 理论 · 物理学 2015-06-16 Ashok K. Das , J. Frenkel

Any practical application of the Schwinger-Dyson equations to the study of $n$-point Green's functions of a field theory requires truncations, the best known being finite order perturbation theory. Strong coupling studies require a…

核理论 · 物理学 2017-03-29 Shaoyang Jia , M. R. Pennington

A representation for the fermionic determinant of the massive Schwinger model, or $QED_2$, is obtained that makes a clean separation between the Schwinger model and its massive counterpart. From this it is shown that the index theorem for…

高能物理 - 理论 · 物理学 2009-10-22 M. P. Fry

The problem of gauge invariance of the physical sector of (2+1)-dimensional Maxwell-Chern-Simons quantum electrodynamics (QED$_{2+1}$) is studied. It is shown that using Proca mass term for the infrared regularization one obtains…

高能物理 - 理论 · 物理学 2007-05-23 I. V. Tyutin , Vad. Yu. Zeitlin

SU(2) gauge theory with Nf=24 massless fermions is non-interacting at long distances, i.e. it has an infrared fixed point at vanishing coupling. With massive fermions the fermions are expected to decouple at energy scales below the fermion…

高能物理 - 格点 · 物理学 2022-09-26 Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami , Kimmo Tuominen

We evaluate the one-loop fermion self-energy for the gauged Thirring model in (2+1) dimensions, with one massive fermion flavor, in the framework of the causal perturbation theory. In contrast to QED$_3$, the corresponding two-point…

高能物理 - 理论 · 物理学 2011-09-13 L. A. Manzoni , B. M. Pimentel , J. L. Tomazelli

Several simple asymptotically-free chiral gauge theories are studied. The only ``free parameters'' of our models are the choice of the gauge group and the matter Weyl fermion representations, and the relative magnitudes of the…

高能物理 - 理论 · 物理学 2026-05-12 Stefano Bolognesi , Kenichi Konishi , Matteo Orso
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