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We show that the discrepancy on the critical flavor number of fermions $N_f^c$ for the appearance of the infrared fixed point based on the t'Hooft anomaly matching condition and derived from the Schr\"odinger functional method ($N_f^c\sim…

高能物理 - 格点 · 物理学 2010-08-23 Sadataka Furui

Motivated by some previous work on fermions on random lattices and by suggestions that impurities could trigger parity breaking in 2d crystals, we have analyzed the spectrum of the Dirac equation on a two dimensional square lattice where…

高能物理 - 格点 · 物理学 2009-10-22 D. Espriu , J. Matias

In calculating hadronic contributions to precision observables for tests of the Standard Model in lattice QCD, the electromagnetic current plays a central role. Using a Wilson action with O($a$) improvement in QCD with $N_{\mathrm{f}}$…

高能物理 - 格点 · 物理学 2019-02-20 Antoine Gerardin , Tim Harris , Harvey B. Meyer

The graphene-inspired fermion actions recently proposed by Creutz and Borici have sparked interest in the use of non-orthogonal lattices in lattice QCD. These fermion actions have the desired chiral symmetry and have the minimal doubling…

高能物理 - 格点 · 物理学 2009-08-20 Michael I. Buchoff

The topological susceptibility is one of the few physical quantities that directly measure the properties of the QCD vacuum. Chiral perturbation theory predicts that in the small quark mass limit the topological susceptibility depends…

高能物理 - 格点 · 物理学 2009-11-07 Anna Hasenfratz

Staggered Domain Wall Fermions (SDWF) combine the attractive chiral properties of staggered fermions with those of domain wall fermions. SDWF describe four flavors with exact U(1)xU(1) flavor chiral symmetry. An extra lattice dimension is…

高能物理 - 格点 · 物理学 2007-05-23 G. T. Fleming , P. M. Vranas

Four-dimensional chiral gauge theory can be formulated as the boundary theory on a five-dimensional manifold in a manner that may be realized on a finite lattice. There are interesting features of these theories which defy a purely…

高能物理 - 格点 · 物理学 2025-08-27 David B. Kaplan , Srimoyee Sen

We determine the patterns of spontaneous symmetry breaking in strong-coupling lattice QCD in a fixed background baryon density. We employ a next-nearest-neighbor fermion formulation that possesses the SU(N_f)xSU(N_f) chiral symmetry of the…

高能物理 - 格点 · 物理学 2009-11-10 Barak Bringoltz , Benjamin Svetitsky

There exist both continuum and lattice regularizations of gauge theories with fermions which preserve chiral U(1) invariance ("fermion number"). Such regularizations necessarily break gauge invariance but, in a covariant gauge, one recovers…

高能物理 - 理论 · 物理学 2009-11-07 Maarten Golterman , Yigal Shamir

About ten years ago the use of standard functional manipulations was demonstrated to imply an unexpected property satisfied by the fermionic Green's functions of QCD and dubbed Effective Locality. This feature of QCD is nonperturbative as…

高能物理 - 理论 · 物理学 2021-11-18 Herbert M Fried , Yves Gabellini , Thierry Grandou , Peter H Tsang

We consider the Schr\"odinger functional with staggered one-component fermions on a fine lattice of size $(L/a)^3 \times (T/a)$ where $T/a$ must be an odd number. In order to reconstruct the four-component spinors, two different set-ups are…

高能物理 - 格点 · 物理学 2010-01-21 P. Perez-Rubio , S. Sint

We study four-dimensional conformal field theories with an $SU(N)$ global symmetry by employing the numerical conformal bootstrap. We consider the crossing relation associated with a four-point function of a spin~$0$…

高能物理 - 理论 · 物理学 2016-06-21 Hisashi Iha , Hiroki Makino , Hiroshi Suzuki

We analyze the cut-off dependence of the fermion contribution to the finite temperature free energy density in ${\cal O}(g^2)$ lattice perturbation theory for several improved staggered fermion actions. Cut-off effects are drastically…

高能物理 - 格点 · 物理学 2010-11-19 U. M. Heller , F. Karsch , B. Sturm

The Flavour Symmetry of the Standard Model (SM) gauge sector is broken by the fermion Yukawa couplings. Promoting the Yukawa matrices to scalar spurion fields, one can break the flavour symmetry spontaneously by giving appropriate vacuum…

高能物理 - 唯象学 · 物理学 2010-12-01 Michaela E. Albrecht , Thorsten Feldmann , Thomas Mannel

We present a method of simulating lattice QCD at nonzero chemical potential in the chiral limit. By adding a weak four-fermi interaction to the standard staggered fermion SU(3) QCD action, we produce an algorithm in which the limit of…

高能物理 - 格点 · 物理学 2009-10-28 I. M. Barbour , S. E. Morrison , John B. Kogut

It has recently been shown that when $N_f$ generations of chiral fermions are coupled in a specific manner to $N$ (with $N \geq 2N_f-1$) pairs of vectorlike fermions whose mass terms form a one-dimensional lattice-like structure in theory…

高能物理 - 唯象学 · 物理学 2026-01-16 Gurucharan Mohanta , Ketan M. Patel

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

We present results of an ongoing study of the nature of the high temperature crossover in QCD with two light fermion flavors. These results are obtained with the conventional staggered fermion action at the smallest lattice spacing to…

The chiral extension of Quantum Chromodynamics (XQCD) adds to the standard lattice action explicit pseudoscalar meson fields for the chiral condensates. With this action, it is feasible to do simulations at the chiral limit with zero mass…

高能物理 - 格点 · 物理学 2009-10-28 R. C. Brower , K. Orginos , C-I Tan

We present preliminary numerical results for the three dimensional non-compact QED with a weak four-fermion term in the lattice action. Approaches based on Schwinger-Dyson studies, arguments based on thermodynamic inequalities and numerical…

高能物理 - 格点 · 物理学 2009-11-10 J. B. Kogut , C. G. Strouthos , I. N. Tziligakis