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We compare the low-lying eigenmodes of the O(a) improved Wilson-Dirac operator on quenched and dynamical configurations and investigate methods of probing the topological properties of gauge configurations

High Energy Physics - Lattice · Physics 2015-06-25 R. Horsley , T. G. Kovacs , V. Linke , D. Pleiter , G. Schierholz , Th. Streuer

We present preliminary results for the topological charge and susceptibility determined from the low-lying eigenmodes of the Wilson-Dirac operator. These modes have been computed on dynamical configurations with Nf=2 non-perturbatively…

High Energy Physics - Lattice · Physics 2015-06-25 R. Horsley , T. G. Kovacs , V. Linke , D. Pleiter , G. Schierholz

We analyze the statistical properties of the spectrum of the QCD Dirac operator at low energy in a finite box of volume $L^4$ by means of partially quenched Chiral Perturbation Theory (pqChPT), a low-energy effective field theory based on…

High Energy Physics - Theory · Physics 2009-10-31 D. Toublan , J. J. M. Verbaarschot

The standard estimator for the two-point function of a homogeneous and isotropic random field is a special case of a larger class of least squares estimators that interpolate the function values. Using a different interpolation scheme,…

Instrumentation and Methods for Astrophysics · Physics 2018-08-17 Nicolas Tessore

We study the two-dimensional Dirac operator with an arbitrary combination of electrostatic and Lorentz scalar $\delta$-interactions of constant strengths supported on a smooth closed curve. For any combination of the coupling constants a…

Analysis of PDEs · Mathematics 2020-07-21 Jussi Behrndt , Markus Holzmann , Thomas Ourmières-Bonafos , Konstantin Pankrashkin

In this work, we first consider distributed convex constrained optimization problems where the objective function is encoded by multiple local and possibly nonsmooth objectives privately held by a group of agents, and propose a distributed…

Optimization and Control · Mathematics 2020-02-20 Changxin Liu , Huiping Li , Yang Shi

We investigate a new numerical procedure to compute fermionic correlation functions at very small quark masses. Large statistical fluctuations, due to the presence of local ``bumps'' in the wave functions associated with the low-lying…

High Energy Physics - Lattice · Physics 2010-02-03 L. Giusti , P. Hernandez , M. Laine , P. Weisz , H. Wittig

We discuss and compare the efficiency of various methods, combinations of point-to-all propagators, stochastic timeslice-to-all propagators, the one-end trick and sequential propagators, to compute two-point correlation functions of…

High Energy Physics - Lattice · Physics 2017-10-11 Abdou Abdel-Rehim , Constantia Alexandrou , Joshua Berlin , Mattia Dalla Brida , Jacob Finkenrath , Marc Wagner

We discuss some properties of zero and near-zero modes of the Dirac operator, as observed in a recent simulation of 2-flavor QCD. The quarks have been implemented with the so-called Chirally Improved Dirac operator, which obeys the…

High Energy Physics - Lattice · Physics 2007-05-23 C. B. Lang , Pushan Majumdar , Wolfgang Ortner

The overlap Dirac operator at nonzero quark chemical potential involves the computation of the sign function of a non-Hermitian matrix. In this talk we present an iterative method, first proposed by us in Ref. [1], which allows for an…

High Energy Physics - Lattice · Physics 2009-01-14 Jacques Bloch , Andreas Frommer , Bruno Lang , Tilo Wettig

This paper studies transfer learning for estimating the mean of random functions based on discretely sampled data, where, in addition to observations from the target distribution, auxiliary samples from similar but distinct source…

Statistics Theory · Mathematics 2024-03-29 T. Tony Cai , Dongwoo Kim , Hongming Pu

We investigate the possible corrections to the linear Regge trajectories for the light-quark meson sector by matching two-point correlators of quark currents to the Operator Product Expansion. We find that the allowed modifications to the…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. A. Andrianov , V. A. Andrianov , S. S. Afonin , D. Espriu

We investigate correlation functions in a periodic box-ball system. For the two point functions of short distance, we give explicit formulae obtained by combinatorial methods. We give expressions for general N-point functions in terms of…

Exactly Solvable and Integrable Systems · Physics 2015-05-14 Jun Mada , Tetsuji Tokihiro

We report our progress in data analysis on two-point correlation functions of the $B$ meson using sequential Bayesian method. The data set of measurement is obtained using the Oktay-Kronfeld (OK) action for the bottom quarks (valence…

We develop strategies for enhancing the signal/noise ratio for stochastically sampled correlation functions. The techniques are general and offer a wide range of applicability. We demonstrate the potential of the approach with a generic…

High Energy Physics - Lattice · Physics 2014-08-27 William Detmold , Michael G. Endres

The two-dimensional random-bond Q-state Potts model is studied for Q near 2 via the perturbative renormalisation group to one loop. It is shown that weak disorder induces cross-correlations between the quenched-averages of moments of the…

Statistical Mechanics · Physics 2009-10-31 Tom Davis , John Cardy

We investigate the effects of low-lying fermion modes on the QCD partition function in the epsilon-regime. With the overlap Dirac operator we calculate several tens of low-lying fermion eigenvalues on the quenched lattice. By partially…

High Energy Physics - Lattice · Physics 2009-11-10 Kenji Ogawa , Shoji Hashimoto

This paper presents two methods for approximating the performance of coded multicarrier systems operating over frequency-selective, quasi-static fading channels with non-ideal interleaving. The first method is based on approximating the…

Information Theory · Computer Science 2007-07-13 C. Snow , L. Lampe , R. Schober

Recent work [J.S. Lundeen et al. Nature, 474, 188 (2011)] directly measured the wavefunction by weakly measuring a variable followed by a normal (i.e. `strong') measurement of the complementary variable. We generalize this method to mixed…

Quantum Physics · Physics 2011-12-26 Jeff S. Lundeen , Charles Bamber

We study the properties of low-lying Dirac modes in quenched compact QED at $\beta$=0.99, 1.01 and 1.03, employing $12^3\times 12$ lattices and the overlap formalism for the fermion action. We pay special attention to the spatial…

High Energy Physics - Lattice · Physics 2008-11-26 Toru T. Takahashi