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We review our analysis of the strong coupling of compact QED on a lattice with staggered Fermions. We show that, for infinite coupling, compact QED is exactly mapped in a quantum antiferromagnet. We discuss some aspects of this…

Condensed Matter · Physics 2009-10-22 M. C. Diamantini E. Langmann G. W. Semenoff P. Sodano

We present results of quenched $SU(3)$ hadron spectroscopy comparing $\order(a)$ improved Wilson (Clover) fermions with conventional Wilson fermions. The configurations were generated using an $\order(a^2)$ improved 6-link $SU(3)$ pure…

High Energy Physics - Lattice · Physics 2010-01-18 Sara Collins , Robert G. Edwards , Urs M. Heller , John Sloan

We discuss the importance of using partially quenched theories with three degenerate quarks for extrapolating to QCD, and present some relevant results from chiral perturbation theory.

High Energy Physics - Lattice · Physics 2015-06-25 S. Sharpe , N. Shoresh

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. Motivated…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

Based on a large number of smearing steps, we classify SU(3) gauge field configurations in different topological sectors. For each sector we compare the exact analytical predictions for the microscopic Dirac operator spectrum of quenched…

High Energy Physics - Lattice · Physics 2008-11-26 P. H. Damgaard , U. M. Heller , R. Niclasen , K. Rummukainen

This paper has been withdrawn by the author due to an error in Lemma 3, making the (bijective) proof of Theorem 4 and Corollary 5 invalid (symmetry of k-nonnesting and k-noncrossing set partitions).

Combinatorics · Mathematics 2007-10-09 Robert Parviainen

This letter is a response to a Divergent Views article entitled <<The poor performance of TMM on microRNA-Seq>> (Garmire and Subramaniam 2013), which was a response to our Divergent Views article entitled <<miRNA-seq normalization…

Other Quantitative Biology · Quantitative Biology 2013-06-11 Mark D. Robinson

We argue that quenched QCD has non-trivial phase structure for negative quark mass, including the possibility of a parity-flavor breaking Aoki phase. This has implications for simulations with domain-wall or overlap fermions.

High Energy Physics - Lattice · Physics 2009-11-10 Maarten Golterman , Stephen Sharpe , Robert Singleton

As one test of the validity of the staggered-fermion fourth-root determinant trick, we examine the suppression of the topological susceptibility of the QCD vacuum in the limit of small quark mass. The suppression is sensitive to the number…

High Energy Physics - Lattice · Physics 2008-11-26 C. Aubin , C. Bernard , Brian Billeter , C. DeTar , Steven Gottlieb , E. Gregory , U. M. Heller , J. E. Hetrick , J. Osborn , R. L. Sugar , D. Toussaint

In this paper, we show that the stability analysis in the paper A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787 is incorrect and repeat a proof of a theorem on the convergence of a convolution of the…

Chaotic Dynamics · Physics 2021-12-22 Mark Edelman

This comment points out a serious flaw in the article "Gouri\'eroux, Monfort, Renne (2019): Identification and Estimation in Non-Fundamental Structural VARMA Models" with regard to mirroring complex-valued roots with Blaschke polynomial…

Econometrics · Economics 2020-10-07 Bernd Funovits

This paper has been withdrawn by the authors. There was an erroneous estimate of the degree of a transformed polynomial, making the method appear more effective than it really is. We thank an anonymous referee for pointing out this error.

Numerical Analysis · Mathematics 2008-03-26 Harold Foecke , Alan Weinstein

We present the inconsistencies which arise in quenched QCD in $\Delta I=1/2$ non-leptonic kaon decays using chiral perturbation theory (ChPT) to one loop. In particular we discuss how the lack of unitarity of the quenched theory invalidates…

High Energy Physics - Lattice · Physics 2016-09-01 C. J. D. Lin , G. Martinelli , E. Pallante , C. T. Sachrajda , G. Villadoro

I review recent theoretical progress on the description of heavy quark, jet and gauge boson production at colliders within perturbative QCD. Particular emphasis is put on the improved understanding of fragmentation phenomena, resummation of…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Gehrmann

The following is a long-standing open question: "If the zero-framed surgeries on two knots in the 3-sphere are integral homology cobordant, are the knots themselves concordant?" We show that an obvious rational version of this question has…

Geometric Topology · Mathematics 2010-11-29 Tim D. Cochran , Bridget D. Franklin , Peter D. Horn

The spectral properties of a variety of improved staggered operators are studied in quenched QCD. The systematic dependence of the infrared eigenvalue spectrum on i) improvement in the staggered operator, ii) improvement in the gauge field…

High Energy Physics - Lattice · Physics 2009-11-10 Kit Yan Wong , R. M. Woloshyn

In this comment we show that the approach presented by Foj\'on et al~\cite{Fojon10} is not as accurate as they claim. A straightforward calculation using the models considered buy those authors clearly shows that the spectral method, which…

Quantum Physics · Physics 2018-10-29 Miguel Ahumada-Centeno , Paolo Amore , Francisco M Fernandez

A comment on the paper "Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3", Few-Body Syst. 41, 185 (2007) [hep-ph/0511291].

High Energy Physics - Phenomenology · Physics 2008-07-09 S. -Y. Wang

The revised version of the claim by Hurley, Hurley and Hurley to have proved the circulant Hadamard matrix conjecture is mistaken.

Combinatorics · Mathematics 2011-12-02 Robert Craigen , Jonathan Jedwab

We introduce a class of improved actions for staggered fermions which to O(p^4) and O(p^6), respectively, lead to rotationally invariant propagators. We discuss the resulting reduction of flavour symmetry breaking in the meson spectrum and…

High Energy Physics - Lattice · Physics 2010-11-19 B. Beinlich , A. Bicker , F. Karsch , E. Laermann , A. Peikert