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An SU(2) gauge theory with two fermions transforming under the adjoint representation of the gauge group may appear conformal or almost conformal in the infrared. We use lattice simulations to study the spectrum of this theory and present…

高能物理 - 格点 · 物理学 2009-05-12 Ari J. Hietanen , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

The observed slow running of the gauge coupling in SU(3) lattice gauge theory with two flavors of color sextet fermions naturally suggests it is a theory with one relevant coupling, the fermion mass, and that at zero mass correlation…

高能物理 - 格点 · 物理学 2010-01-07 Thomas DeGrand

I give an elementary introduction to the study of gauge theories coupled to fermions with many degrees of freedom. Besides their intrinsic interest, these theories are candidates for nonperturbative extensions of the Higgs sector of the…

高能物理 - 格点 · 物理学 2015-05-20 Thomas DeGrand

We discuss the existence of a conformal phase in SU(N) gauge theories in four dimensions. In this lattice study we explore the model in the bare parameter space, varying the lattice coupling and bare mass. Simulations are carried out with…

高能物理 - 唯象学 · 物理学 2010-10-26 A. Deuzeman , M. P. Lombardo , E. Pallante

We present a study of spectroscopy of SU(4) lattice gauge theory coupled to two flavors of Dirac fermions in the anti-symmetric two index representation. The fermion representation is real, and the pattern of chiral symmetry breaking is…

高能物理 - 格点 · 物理学 2016-11-22 Thomas DeGrand , Yuzhi Liu , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky

We study a lattice field theory model containing two flavors of massless staggered fermions with an onsite four-fermion interaction. The model contains a $SU(4)$ symmetry which forbids non-zero fermion bilinear mass terms, due to which…

高能物理 - 格点 · 物理学 2015-04-08 Venkitesh Ayyar , Shailesh Chandrasekharan

Staggered fermions are constructed for the transverse lattice regularization scheme. The weak perturbation theory of transverse lattice non-compact QED is developed in light-cone gauge, and we argue that for fixed lattice spacing this…

高能物理 - 理论 · 物理学 2009-10-22 Paul A. Griffin

We derive perturbative constraints on the transverse part of the fermion-boson vertex in massive QED3 through its one loop evaluation in an arbitrary covariant gauge. Written in a particular form, these constraints naturally lead us to the…

高能物理 - 唯象学 · 物理学 2009-11-07 A. Bashir , A. Raya

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…

高能物理 - 唯象学 · 物理学 2009-08-11 A. Bashir , A. Huet , A. Raya

We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with $N_f=3$ flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization…

高能物理 - 格点 · 物理学 2016-06-29 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

Starting from an anomaly-free Abelian Higgs model coupled to gravity in a 6-dimensional space-time we construct an effective four-dimensional theory of charged fermions interacting with U(1) Abelian gauge field and gravity, both localised…

高能物理 - 理论 · 物理学 2009-11-10 Seif Randjbar-Daemi , Mikhail Shaposhnikov

We study quantum electrodynamics in a (2+1)-dimensional space-time with two flavors of dynamical fermions by numerical simulations on the lattice. We discretize the theory using both the compact and the noncompact formulations and analyze…

高能物理 - 格点 · 物理学 2014-11-17 R. Fiore , P. Giudice , D. Giuliano , D. Marmottini , A. Papa , P. Sodano

We introduce a strongly interacting lattice field theory model containing two flavors of massless staggered fermions with two kinds of interactions: (1) a lattice current-current interaction, and (2) an on-site four-fermion interaction. At…

高能物理 - 格点 · 物理学 2021-12-01 Sandip Maiti , Debasish Banerjee , Shailesh Chandrasekharan , Marina Krstic Marinkovic

This work covers volume reduction in quantum field theories on a lattice at large $N$ (number of colors), as first described by Eguchi and Kawai in 1982. The volume reduction (or volume independence) means that the theory defined on an…

高能物理 - 格点 · 物理学 2013-12-20 Mateusz Koren

QCD is constructed as a lattice gauge theory in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. The resulting quantum link model for QCD is formulated with a fifth Euclidean…

高能物理 - 理论 · 物理学 2016-08-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

We present results of a lattice field theory simulation of the 2+1$d$ Thirring model with $N=1$ fermion flavors, using domain wall fermions. The model exhibits a U(2) symmetry-breaking phase transition with the potential to define a…

高能物理 - 格点 · 物理学 2025-05-07 Simon Hands , Jude Worthy

We discuss detailed simulations of the non compact abelian model coupled to light fermions, using a method previously developed that includes the effects of the fermionic interactions in an effective action. The approximations involved are…

高能物理 - 格点 · 物理学 2015-06-25 V. Azcoiti , G. Di Carlo , A. F. Grillo

We study a lattice model of interacting Dirac fermions in $(2+1)$ dimension space-time with an SU(4) symmetry. While increasing interaction strength, this model undergoes a {\it continuous} quantum phase transition from the weakly…

强关联电子 · 物理学 2016-12-28 Yuan-Yao He , Han-Qing Wu , Yi-Zhuang You , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

We present results from the first lattice simulations of three dimensional non-compact quantum electrodynamics (QED3) with N_f four-component fermion flavors coupled to a weak Z(2) chirally invariant four-fermi interaction. Results with…

高能物理 - 格点 · 物理学 2010-07-21 Wesley Armour , John B. Kogut , Costas Strouthos

We test here our recently introduced new lattice method for the $\beta$-function defined over infinite Euclidean space-time in the continuum from scale changes generated by infinitesimal or finite steps of the renormalized gauge coupling on…

高能物理 - 格点 · 物理学 2023-01-18 Chik Him Wong , Szabolcs Borsanyi , Zoltan Fodor , Kieran Holland , Julius Kuti