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We revisit the computation of the phase of the Dirac fermion scattering operator in external gauge fields. The computation is through a parallel transport along the path of time evolution operators. The novelty of the present paper compared…

Mathematical Physics · Physics 2015-06-19 Jouko Mickelsson

Following the proposal in [1], we study the feasibility to calculate the pion distribution amplitude (DA) from suitably chosen Euclidean correlation functions at large momentum. In our lattice study we employ the novel momentum smearing…

In momentum space the Feynman propagator $D_{F}(k)$ at non-zero temperature is defined by a simple dispersion relation with the familiar property of being an even function of $k^{0}$ and analytic for Re$(k^{0})^{2}>0$. The coordinate space…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. Arthur Weldon

Smearing the gauge links of dynamical configurations removes small scale unphysical vacuum fluctuations und thus improves the chiral properties of lattice fermions. We present a new algorithm for the simulation of dynamical fermions coupled…

High Energy Physics - Lattice · Physics 2015-06-25 A. Hasenfratz , F. Knechtli

To apply the powerful many-body techniques of tensor networks to massless Dirac fermions one wants to discretize the $p\cdot\sigma$ Hamiltonian and construct a matrix-product-operator (MPO) representation. We compare two alternative…

Strongly Correlated Electrons · Physics 2024-10-25 V. A. Zakharov , S. Polla , A. Donís Vela , P. Emonts , M. J. Pacholski , J. Tworzydło , C. W. J. Beenakker

We propose a preconditioning of the Dirac operator based on the factorisation of a predefined function related to the decay of the propagator with the distance. We show that it can improve the accuracy of correlators involving heavy quarks…

High Energy Physics - Lattice · Physics 2014-11-21 G. M. de Divitiis , R. Petronzio , N. Tantalo

The treatment of the quark mass plays an important role when it comes to increasing the precision of the predictions of the heavy quark expansion for inclusive heavy hadron decays. Various short-distance mass schemes have been invented to…

High Energy Physics - Phenomenology · Physics 2023-08-09 Anastasia Boushmelev , Thomas Mannel , K. Keri Vos

By a reformulation of the loop expansion in the Resonance-Spectrum-Expansion amplitude for meson-meson scattering, in terms of s-channel exchange of families of propagator modes, we obtain a formalism which allows for a wider range of…

High Energy Physics - Phenomenology · Physics 2009-11-18 Eef van Beveren , George Rupp

This article reviews lattice QCD results for the light hadron spectrum. We give an overview of different formulations of lattice QCD, with discussions on the fermion doubling problem and improvement programs. We summarize recent…

High Energy Physics - Lattice · Physics 2012-04-12 Zoltan Fodor , Christian Hoelbling

Fermion propagator is computed in a simple model on an extremely anisotropic lattice $\xi\gg1$. Fermion determinant is evaluated up to $\xi^{-4}$ order. Chiral condensate is estimated in mean field approximation.

High Energy Physics - Lattice · Physics 2007-05-23 Vladimir K. Petrov

We consider the spectral theory for discrete Schr\"odinger operators on the hexagonal lattice and their inverse scattering problem. We give a procedure for reconstructing the compactly supported potential from the scattering matrix for all…

Spectral Theory · Mathematics 2011-10-19 Kazunori Ando

The classically perfect Fixed-Point fermion action for lattice QCD, a highly improved discretization of the continuum theory that preserves chiral symmetry, is constructed in this thesis and a parallel work by T. Jorg. In the framework of…

High Energy Physics - Lattice · Physics 2007-05-23 Simon Hauswirth

We present a comprehensive study of the polarization and spatial coherence properties of the lasing modes supported by a 4-fold symmetric plasmonic lattice. By modifying only, the scattering properties of the individual particles while…

The real-time correlators of quantum field theories can be directly probed through new approaches to simulation, such as quantum computing and tensor networks. This provides a new framework for computing scattering observables in lattice…

High Energy Physics - Lattice · Physics 2026-03-27 Ivan M. Burbano , Marco A. Carrillo , Rana Urek , Anthony N. Ciavarella , Raúl A. Briceño

We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i)…

High Energy Physics - Lattice · Physics 2009-10-28 C. Christou , A. Di Giacomo , H. Panagopoulos , E. Vicari

We present the first study of treating b, c, and s quarks as Dirac fermions in lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with single-plaquette action at beta = 7.2 on the 32^3 x 60 lattice, we compute…

High Energy Physics - Lattice · Physics 2008-11-26 Ting-Wai Chiu , Tung-Han Hsieh , Chao-Hsi Huang , Kenji Ogawa

We report our light hadron mass calculation based on an increased statistics of 250 quenched gauge configurations on a (48^3 \times 64) lattice at (\beta = 6.5). Quark propagators are calculated for each of these configurations with…

High Energy Physics - Lattice · Physics 2009-10-30 Seyong Kim , Shigemi Ohta

$\mathcal{PT}$ symmetry is a unique platform for light manipulation and versatile use in unidirectional invisibility, lasing, sensing, etc. Broken and unbroken $\mathcal{PT}$-symmetric states in non-Hermitian open systems are described by…

The structure of the quark propagator in momentum space is explored taking into account non-perturbative QCD dynamics constraints for the quark spectral densities derived previously. We assume that the scalar and vector component of the…

High Energy Physics - Phenomenology · Physics 2025-02-26 O. Oliveira , T. Frederico , W. de Paula

The results of an exploratory lattice study of heavy baryon spectroscopy are presented. We have computed the full spectrum of the eight baryons containing a single heavy quark, on a $24^3\times 48$ lattice at $\beta=6.2$, using an…

High Energy Physics - Lattice · Physics 2012-08-27 UKQCD Collaboration
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