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The ground state of an electron gas is characterized by the interparticle spacing to the effective Bohr radius ratio r_s=a/a_B*. For polarized electrons on a two dimensional square lattice with Coulomb repulsion, we study the threshold…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Houman Falakshahi , Zoltán Ádám Németh , Jean-Louis Pichard

I report on first results of the ETMC obtained simulating lattice QCD with two degenerate flavours of Wilson twisted mass fermions, for which physical observables are automatically O(a) improved. Recent improvements of the HMC algorithm…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Shindler , ETM Collaboration

A completely non-perturbative estimate is given for the u/d and strange quark masses in quenched QCD using O(a) improved fermions and, for comparison, Wilson fermions. For improved fermions we find m_{u/d}^MSbar(\mu=2 GeV) = 4.4(2) MeV,…

High Energy Physics - Lattice · Physics 2015-06-25 M. Gockeler , R. Horsley , B. Klaus , W. Kurzinger , H. Oelrich , D. Petters , D. Pleiter , P. E. L. Rakow , G. Schierholz , P. Stephenson

Lattice gauge theory simulations are our principal probe of the masses of the light quarks. Results from such computations are the primary evidence against the $m_u=0$ solution to the strong CP problem. The large-$N$ approximation offers an…

High Energy Physics - Phenomenology · Physics 2022-02-02 Daniel Davies , Michael Dine , Benjamin V. Lehmann

The renormalisation group running of the quark mass is determined non-perturbatively for a large range of scales, by computing the step scaling function in the Schroedinger Functional formalism of quenched lattice QCD both with and without…

High Energy Physics - Lattice · Physics 2009-11-10 M. Guagnelli , J. Heitger , F. Palombi , C. Pena , A. Vladikas

We describe the results of a systematic high-statistics Monte-Carlo study of finite-size effects at the phase transition of compact U(1) lattice gauge theory with Wilson action on a hypercubic lattice with periodic boundary conditions. We…

High Energy Physics - Lattice · Physics 2011-07-19 Burkhard Klaus , Claude Roiesnel

Starting from the Schr\"odinger functional, we give a non-perturbative definition of the running coupling constant in QCD. The spatial boundary conditions for the quark fields are chosen such that the massless Dirac operator in the…

High Energy Physics - Lattice · Physics 2009-10-28 Stefan Sint , Rainer Sommer

We investigate the errors due to the use of unphysical values of light quark masses in lattice extractions of $\alpha_s$. A functional form for the pion mass dependence of the quarkonium mass splittings ($\Delta m$) is given as an expansion…

High Energy Physics - Phenomenology · Physics 2009-10-28 Benjamin Grinstein , I. Z. Rothstein

Models of Dynamical Electroweak Symmetry Breaking are expected to display a quasi-conformal scaling behaviour in order to accommodate experimental constraints. The scaling properties of a theory can be studied using finite volume…

High Energy Physics - Lattice · Physics 2012-11-05 Stefan Sint , Pol Vilaseca

The strong coupling constant alpha_s(mu_0), taken at a fixed reference scale mu_0, is the single free parameter of QCD and should be known to the highest available precision. The value of alpha_s should also be determined with good accuracy…

High Energy Physics - Lattice · Physics 2017-08-23 Attilio Cucchieri

We perform a precise calculation of the chiral condensate in QCD using lattice QCD with 2+1 flavors of dynamical overlap quarks. Up and down quark masses cover a range between 3 and 100 MeV on a 16^3x48 lattice at a lattice spacing around…

High Energy Physics - Lattice · Physics 2010-10-27 The JLQCD collaboration , H. Fukaya , S. Aoki , S. Hashimoto , T. Kaneko , J. Noaki , T. Onogi , N. Yamada

I review the theoretical foundations, properties as well as the simulation results obtained so far of a variant of the Wilson lattice QCD formulation: Wilson twisted mass lattice QCD. Emphasis is put on the discretization errors and on the…

High Energy Physics - Lattice · Physics 2008-05-19 A. Shindler

We have carried out spectrum calculations with two flavors of dynamical Kogut-Susskind quarks on four lattice sizes from $8^3\times 24$ to $16^3\times24$ at couplings that correspond to chiral symmetry restoration for a lattice with 6 time…

High Energy Physics - Lattice · Physics 2008-11-26 C. Bernard , T. Blum , T. DeGrand , C. Detar , S. Gottlieb , A. Krasnitz , R. Sugar , D. Toussaint

The dependence of thermodynamic properties of QCD on the number of quark flavours is investigated. Lattice results for the equation of state are presented for 2, 2+1 and 3 quark flavours. The simulations have been performed with the…

High Energy Physics - Lattice · Physics 2015-06-25 F. Karsch , E. Laermann , A. Peikert

We discuss a series of 8 energy scales, some of which just speculated by ourselves, and fit the logarithms of these energies as a straight line versus a quantity related to the dimensionalities of action terms in a way to be defined in the…

High Energy Physics - Phenomenology · Physics 2025-03-24 Holger Bech Nielsen

We study the spectrum of $H(m)=\gamma_5 W(-m)$ with $W(m)$ being the Wilson-Dirac operator on the lattice with bare mass equal to $m$. The background gauge fields are generated using the SU(3) Wilson action at $\beta=5.7$ on an $8^3\times…

High Energy Physics - Lattice · Physics 2009-10-30 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan , Robert L. Singleton

We calculate the chiral condensate of QCD with 2, 2+1 and 3 flavors of sea quarks. Lattice QCD simulations are performed employing dynamical overlap fermions with up and down quark masses covering a range between 3 and 100 MeV. On L ~…

High Energy Physics - Lattice · Physics 2015-03-17 H. Fukaya , S. Aoki , T. W. Chiu , S. Hashimoto , T. Kaneko , J. Noaki , T. Onogi , N. Yamada

The electroweak symmetry breaking and origin of masses may be attributed to the breakdown of chiral symmetry due to a strong gauge dynamics. Among several candidates of such gauge systems, we focus on two-color QCD with $N_f=6$ massless…

High Energy Physics - Lattice · Physics 2013-11-06 Masaaki Tomii , Masashi Hayakawa , Ken-Ichi Ishikawa , Shinji Takeda , Norikazu Yamada

We investigate the axial U(1) anomaly of two-flavor QCD at temperatures 190--330 MeV. In order to preserve precise chiral symmetry on the lattice, we employ the Mobius domain-wall fermion action as well as overlap fermion action implemented…

High Energy Physics - Lattice · Physics 2021-04-28 S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , T. Kaneko , C. Rohrhofer , K. Suzuki

We use chiral perturbation theory to study the extrapolations necessary to make physical predictions from lattice QCD data for the electromagnetic form factors of pseudoscalar mesons. We focus on the quark mass, momentum, lattice spacing,…

High Energy Physics - Lattice · Physics 2014-11-17 T. B. Bunton , F. -J. Jiang , B. C. Tiburzi
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