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Related papers: Lattice fermions with complex mass

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We study cutoff effects at tree-level of perturbation theory for maximally twisted mass Wilson, overlap and the recently proposed Creutz fermions. We demonstrate that all three kind of lattice fermions exhibit the expected O(a^2) scaling…

High Energy Physics - Lattice · Physics 2008-11-26 K. Cichy , J. Gonzalez Lopez , K. Jansen , A. Kujawa , A. Shindler

We discuss the construction of a chiral random matrix model for staggered fermions. This model includes $O(a^2)$ corrections to the continuum limit of staggered fermions and is related to the zero momentum limit of the Lee-Sharpe Lagrangian…

High Energy Physics - Lattice · Physics 2007-05-23 James C. Osborn

The massless vector Schwinger model with $N_f=1,2,3,4$ number of flavors is studied on the lattice using the overlap formalism. A full Monte Carlo simulation yields values for the bilinear fermion condensate that are in agreement with the…

High Energy Physics - Lattice · Physics 2009-10-28 R. Narayanan , H. Neuberger , P. Vranas

For a long time, investigation into the weak interactions of quarks has guided us toward understanding the Standard Model we know today. Now in the era of high precision, these studies are still one of the most promising avenues for peering…

High Energy Physics - Lattice · Physics 2021-07-20 Matthew Wingate

We study the sigma term and the strange quark content of nucleon in 2+1-flavor QCD with dynamical overlap fermions. We analyze the lattice data of nucleon mass taken at two different strange quark masses with five values of up and down…

High Energy Physics - Lattice · Physics 2010-11-05 H. Ohki , S. Aoki , H. Fukaya , S. Hashimoto , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , E. Shintani , N. Yamada

We present the full results of the Wuppertal-Budapest lattice QCD collaboration on flavor diagonal and non-diagonal quark number susceptibilities with 2+1 staggered quark flavors, in a temperature range between 125 and 400 MeV. The light…

High Energy Physics - Lattice · Physics 2015-06-03 Szabolcs Borsanyi , Zoltan Fodor , Sandor D. Katz , Stefan Krieg , Claudia Ratti , Kalman Szabo

We provide first evidence that Matrix Models describe the low lying complex Dirac eigenvalues in a theory with dynamical fermions at non-zero density. Lattice data for gauge group SU(2) with staggered fermions are compared to detailed…

High Energy Physics - Lattice · Physics 2007-05-23 Gernot Akemann , Elmar Bittner

We present a completed random matrix theory for staggered fermions which incorporates all taste symmetry breaking terms at their leading order from the staggered chiral Lagrangian. This is an extension of previous work which only included…

High Energy Physics - Lattice · Physics 2012-04-26 James C. Osborn

The O(a^2) contributions to the chiral effective Lagrangian for lattice QCD with Wilson fermions are constructed. The results are generalized to partially quenched QCD with Wilson fermions as well as to the "mixed'' lattice theory with…

High Energy Physics - Lattice · Physics 2008-11-26 O. Baer , G. Rupak , N. Shoresh

We present results for the masses of pseudoscalar mesons in twisted mass lattice QCD with a degenerate doublet of u and d quarks and a non-degenerate doublet of s and c quarks in the framework of next-to-leading order chiral perturbation…

High Energy Physics - Lattice · Physics 2011-05-09 Gernot Münster , Tobias Sudmann

We summarize results for partially quenched chiral perturbation theory and indicate an application to staggered fermion QCD in which the square root of the determinant is taken to reduce the number of flavors from four to two.

High Energy Physics - Lattice · Physics 2009-10-22 C. Bernard , M. Golterman

We address the question, how general is the gauge sector in extra-dimensional models which explain hierarchies of masses and mixings of quarks, charged leptons and neutrinos in terms of a single family of multidimensional fermions. We give…

High Energy Physics - Phenomenology · Physics 2015-02-24 Jean-Marie Frère , Maxim Libanov , Simon Mollet , Sergey Troitsky

We use the effective chiral Lagrangian to analyze the phase diagram of two-flavor twisted mass lattice QCD as a function of the normal and twisted masses, generalizing previous work for the untwisted theory. We first determine the chiral…

High Energy Physics - Lattice · Physics 2009-11-10 Stephen R. Sharpe , Jackson M. S. Wu

Lattice QCD with Wilson quarks and a chirally twisted mass term represents a promising alternative regularization of QCD, which does not suffer from unphysical fermion zero modes. We show how the correlation functions of the renormalized…

High Energy Physics - Lattice · Physics 2010-02-03 Roberto Frezzotti , Pietro Antonio Grassi , Stefan Sint , Peter Weisz

Using effective Lagrangian arguments, I explore the qualitative behavior expected at finite temperature for two flavor lattice QCD formulated with Wilson fermions and a twisted mass term. A rather rich phase structure is predicted,…

High Energy Physics - Lattice · Physics 2008-11-26 Michael Creutz

There are three quarks with masses at or below the characteristic scale of QCD dynamics: up, down and strange. However, twisted mass lattice QCD relies on quark doublets. Various options for including three quark flavors within the twisted…

High Energy Physics - Lattice · Physics 2008-11-26 Abdou M. Abdel-Rehim , Randy Lewis , R. M. Woloshyn , Jackson M. S. Wu

Some time ago Kaplan proposed a new model for the description of chiral fermions on the lattice by adding an extra dimension for the fermions. A variant of this proposal was introduced by Shamir and can be used to describe vector-like…

High Energy Physics - Lattice · Physics 2007-05-23 Andreas Jaster

One-flavour QCD - a gauge theory with SU(3) colour gauge group and a fermion in the fundamental representation - is studied by Monte Carlo simulations. The mass spectrum of hadronic bound states is investigated in a volume with extensions…

High Energy Physics - Lattice · Physics 2008-11-26 F. Farchioni , I. Montvay , G. Münster , E. E. Scholz , T. Sudmann , J. Wuilloud

Simulations of lattice gauge theories with tensor networks and quantum computing have so far mainly focused on staggered fermions. In this paper, we use matrix product states to study Wilson fermions in the Hamiltonian formulation and…

High Energy Physics - Lattice · Physics 2023-10-19 Takis Angelides , Lena Funcke , Karl Jansen , Stefan Kühn

In order to study the running coupling in four-flavour QCD, we review the set-up of the Schr\"odinger functional (SF) with staggered quarks. Staggered quarks require lattices which, in the usual counting, have even spatial lattice extent…

High Energy Physics - Lattice · Physics 2009-04-14 P. Perez-Rubio , S. Sint