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While lattice QCD allows for reliable results at small momentum transfers (large quark separations), perturbative QCD is restricted to large momentum transfers (small quark separations). The latter is determined up to a reference momentum…

High Energy Physics - Phenomenology · Physics 2018-12-18 Felix Karbstein , Marc Wagner , Michelle Weber

Using the formal languages Schoonschip and Form, we have developed general codes that are able to carry out all the algebraic manipulations needed to perform analytic lattice calculations, starting from the elementary building blocks…

High Energy Physics - Lattice · Physics 2007-05-23 Stefano Capitani , Giancarlo Rossi

We exploit a recent lattice investigation (UKQCD) on the topological structure of the (quenched) QCD vacuum, in order to gain information on crucial building blocks of instanton perturbation theory. A central motivation is to further…

High Energy Physics - Lattice · Physics 2009-10-31 A. Ringwald , F. Schrempp

An integrable Anderson-like impurity model in a correlated host is derived from a gl(2$|$1)-symmetric transfer matrix by means of the Quantum-Inverse-Scattering-Method (QISM). Using the Quantum Transfer Matrix technique, free energy…

Strongly Correlated Electrons · Physics 2009-11-10 Michael Bortz , Andreas Kluemper

Critical points and phase transitions are characterized by diverging susceptibilities, reflecting the tendency of the system toward spontaneous symmetry breaking. Equilibrium statistical mechanics bounds these instabilities to occur at zero…

Mesoscale and Nanoscale Physics · Physics 2019-06-03 Orazio Scarlatella , Rosario Fazio , Marco Schiró

Most observables at particle colliders involve physics at a wide variety of distance scales. Due to asymptotic freedom of the strong interaction, the physics at short distances can be calculated reliably using perturbative techniques, while…

High Energy Physics - Phenomenology · Physics 2025-03-24 Christian W. Bauer

A real-space formalism for density-functional perturbation theory (DFPT) is derived and applied for the computation of harmonic vibrational properties in molecules and solids. The practical implementation using numeric atom-centered…

Materials Science · Physics 2017-03-08 Honghui Shang , Christian Carbogno , Patrick Rinke , Matthias Scheffler

Neutrinoless double-$\beta$ ($0\nu\beta\beta$) decay of certain atomic isotopes, if observed, will have significant implications for physics of neutrinos and models of physics beyond the Standard Model. In the simplest scenario, if the mass…

High Energy Physics - Lattice · Physics 2021-04-20 Zohreh Davoudi , Saurabh V. Kadam

Quantum chromodynamics (QCD) reduces the strong interactions, in all their variety, to a simple nonabelian gauge theory. It clearly and elegantly explains hadrons at short distances, which has led to its universal acceptance. Since its…

High Energy Physics - Lattice · Physics 2012-11-13 Andreas S. Kronfeld

The long-range electromagnetic interaction presents a challenge for numerical computations in QCD + QED. In addition to power-law finite volume effects, the standard lattice gauge theory approach introduces non-locality through removal of…

High Energy Physics - Lattice · Physics 2016-02-17 Jong-Wan Lee , Brian C. Tiburzi

The zero-mass (ZM) parton formalism is widely used in high-energy physics because of its simplicity and historical importance, even while massive quarks (c,b,t) are playing an increasingly prominent role in particle phenomenology, including…

High Energy Physics - Phenomenology · Physics 2009-07-09 Pavel M. Nadolsky , Wu-Ki Tung

One major systematic uncertainty of lattice QCD results is due to the continuum extrapolation. For an asymptotically free theory like QCD one finds corrections of the form $a^{n_\mathrm{min}}[2b_0\bar{g}^2(1/a)]^{\hat{\Gamma}_i}$ with…

High Energy Physics - Lattice · Physics 2022-12-20 Nikolai Husung

Lattice QCD is notorious for its computational expense. Modern lattice simulations require large-scale computational resources to handle the large number of Dirac operator inversions used to construct correlation functions. Machine learning…

High Energy Physics - Lattice · Physics 2025-01-15 Octavio Vega , Andrew Lytle , Jiayu Shen , Aida X. El-Khadra

The quantum statistical parton distributions approach proposed more than one decade ago is revisited by considering a larger set of recent and accurate Deep Inelastic Scattering experimental results. It enables us to improve the description…

High Energy Physics - Phenomenology · Physics 2017-04-05 Jacques Soffer , Claude Bourrely

Using lattice configurations for quantum chromodynamics (QCD) generated with three domain-wall fermions at a physical pion mass, we obtain a parameter-free prediction of QCD's renormalisation-group-invariant process-independent effective…

We give an introduction to the special problems encountered in a treatment of HQET beyond perturbation theory in the gauge coupling constant. In particular, we report on a recent test of HQET as an effective theory for QCD and discuss how…

High Energy Physics - Phenomenology · Physics 2011-01-27 Rainer Sommer

In the lattice formulation of the Heavy Quark Effective Theory, the value of the classical velocity v, as defined through the separation of the 4-momentum of a heavy quark into a part proportional to the heavy quark mass and a residual part…

High Energy Physics - Lattice · Physics 2009-10-30 Jeffrey E. Mandula , Michael C. Ogilvie

The lattice gauge theory technique for non-perturbative calculations in QCD is reviewed. The extraction of the continuum limit of lattice results is discussed with particular examples appropriate to hadron spectroscopy (the light hadrons…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Michael

A Hamiltonian lattice formulation of lattice gauge theories opens the possibility for quantum simulations of the non-perturbative dynamics of QCD. By parametrizing the gauge invariant Hilbert space in terms of plaquette degrees of freedom,…

High Energy Physics - Lattice · Physics 2024-11-27 Anthony N. Ciavarella , Christian W. Bauer

QCD is analysed with two light-front continuum dimensions and two transverse lattice dimensions. In the limit of large number of colours and strong transverse gauge coupling, the contributions of light-front and transverse directions…

High Energy Physics - Lattice · Physics 2009-11-10 Apoorva Patel , Raghunath Ratabole