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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…

High Energy Physics - Lattice · Physics 2015-05-20 Thomas DeGrand

We construct and test a quasi-perfect lattice action for staggered fermions. The construction starts from free fermions, where we suggest a new blocking scheme, which leads to excellent locality of the perfect action. An adequate truncation…

High Energy Physics - Lattice · Physics 2009-10-31 W. Bietenholz , H. Dilger

We pursue further an approach to lattice chiral fermions in which the fermions are treated in the continuum. To render the effective action gauge invariant, counterterms have to be introduced. We determine the counterterms for smooth gauge…

High Energy Physics - Lattice · Physics 2009-10-30 V. Bornyakov , G. Schierholz , A. Thimm

String compactifications on an orbi-folded torus with complex structure give rise to chiral fermions, spontaneously broken CP, modular invariance. We show that this allows simple effective theories of flavour and CP where: i) the QCD angle…

High Energy Physics - Phenomenology · Physics 2023-07-26 Ferruccio Feruglio , Alessandro Strumia , Arsenii Titov

We compute the quark number susceptibilities in two flavor QCD for staggered fermions by adding the chemical potential as a Lagrange multiplier for the point-split number density term. Since lesser number of quark propagators are required…

High Energy Physics - Lattice · Physics 2014-11-21 R. V. Gavai , Sayantan Sharma

We present numerical simulation of QCD with two dynamical quark flavors described by the overlap fermion action on a $16^3\times 32\times (0.12 {\rm fm})^4$ lattice. We calculate pseudo-scalar masses and decay constants and investigate…

High Energy Physics - Lattice · Physics 2009-04-14 J. Noaki , S. Aoki , H. Fukaya , S. Hashimoto , T. Kaneko , H. Matsufuru , T. Onogi , E. Shintani , N. Yamada

Staggered fermion shift symmetries correspond to translations of the fermion field within the unit cell of a hypercubic lattice. They satisfy an algebra and in four Euclidean dimensions can be related to a discrete subgroup of an $SU(4)$…

High Energy Physics - Lattice · Physics 2024-10-08 Simon Catterall , Arnab Pradhan

We derived the tree level spectrum to an extension to the linear sigma model describing an EFT for an $SU(3)_c$ gauge theory with $N_f$ flavors of fermions and $N_1$ fermions have a mass $m_l$ and $N_2$ fermions have a mass $m_h$. We…

High Energy Physics - Lattice · Physics 2018-11-01 Diego de Floor , Erik Gustafson , Yannick Meurice

Research on the QCD phase diagram with lattice field theory methods is dominated by the use of rooted staggered fermions, as they are the computationally cheapest discretization available. We show that rooted staggered fermions at a nonzero…

High Energy Physics - Lattice · Physics 2023-08-14 Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Jana N. Guenther , Sandor D. Katz , Attila Pasztor , Chik Him Wong

We investigate the continuum limit of the rooted staggered action in the 2-dimensional Schwinger model. We match both the unrooted and rooted staggered determinants with an overlap fermion determinant of two (one) flavors and a local pure…

High Energy Physics - Lattice · Physics 2008-11-26 Anna Hasenfratz , Roland Hoffmann

Different versions of improved staggered fermions can be used as valence quarks to reduce discretization effects in lattice QCD calculations while increasing statistics on existing staggered gauge ensembles. Such mixed-action simulations…

High Energy Physics - Lattice · Physics 2013-11-26 Jon A. Bailey , Jongjeong Kim , Weonjong Lee , Hyung-Jin Kim , Boram Yoon

As a part of the project studying large $N_f$ QCD, the LatKMI Collaboration has been investigating the SU(3) gauge theory with four fundamental fermions (four-flavor QCD). The main purpose of studying four-flavor QCD is to provide a…

Results on the thermal transition of QCD with 3 degenerate flavors, in the lower-left corner of the Columbia plot, are puzzling. The transition is expected to be first-order for massless quarks, and to remain so for a range of quark masses…

High Energy Physics - Lattice · Physics 2017-02-02 Philippe de Forcrand , Massimo D'Elia

The introduction of a chirally twisted mass term has been proposed as an attractive approach to O(a) improvement of Quantum Chromodynamics with Wilson fermions on a lattice. For numerical simulation projects it is important to know the…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster

We have studied the hadron spectrum while varying the number of light dynamical quarks when the physical lattice spacing and volume are held fixed relative to the rho mass. For two and zero flavors of staggered fermions, we find the nucleon…

High Energy Physics - Lattice · Physics 2015-06-25 Dong Chen , Robert D. Mawhinney

The Schwinger model with $N_f \geq 2$ flavors is a simple example for a fermionic model with zero chiral condensate Sigma (in the chiral limit). We consider numerical data for two light flavors, based on simulations with dynamical chiral…

High Energy Physics - Lattice · Physics 2020-07-14 David Landa-Marbán , Wolfgang Bietenholz , Ivan Hip

We report the results of a numerical study of staggered overlap fermions, following the construction of Adams which reduces the number of tastes from 4 to 2 without fine-tuning. We study the sensitivity of the operator to the topology of…

High Energy Physics - Lattice · Physics 2015-03-18 Philippe de Forcrand , Aleksi Kurkela , Marco Panero

The quark-mass dependence of the eta in the Schwinger model, which -- like the eta-prime in QCD -- becomes massive through the axial anomaly, is studied on the lattice with N_f=0,1,2. Staggered quarks are used, with a rooted determinant for…

High Energy Physics - Lattice · Physics 2012-09-21 Stephan Durr

We determine f_K for lattice QCD in the two flavor approximation with non-perturbatively improved Wilson fermions. The result is used to set the scale for dimensionful quantities in CLS/ALPHA simulations. To control its dependence on the…

High Energy Physics - Lattice · Physics 2011-12-20 Marina Marinkovic , Stefan Schaefer , Rainer Sommer , Francesco Virotta

It is expected that the only effect of heavy dynamical fermions in QCD is to renormalize the gauge coupling. We derive a simple expression for the shift in the gauge coupling induced by $N_f$ flavors of heavy fermions. We compare this…

High Energy Physics - Lattice · Physics 2009-10-22 Anna Hasenfratz , Thomas A. DeGrand