English
Related papers

Related papers: Lattice methods for students at a formal TASI

200 papers

We give an introduction to the problems faced on the way to a reliable lattice QCD computation of B-physics matrix elements. In particular various approaches for dealing with the large scale introduced by the heaviness of the b-quark are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rainer Sommer

We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although the chirality of a lattice fermion is complicated in general dimensions, it can be simply formulated on a one-dimensional lattice. The…

High Energy Physics - Lattice · Physics 2024-02-05 Tomoya Hayata , Katsumasa Nakayama , Arata Yamamoto

I review recent progress in finite temperature lattice calculations, including calculations of Equation of State, fluctuations of conserved charges and spatial correlation functions. I compare lattice results with the predictions of hadron…

High Energy Physics - Phenomenology · Physics 2009-11-18 P. Petreczky

An important problem in analytic and geometric combinatorics is estimating the number of lattice points in a compact convex set in a Euclidean space. Such estimates have numerous applications throughout mathematics. In this note, we exhibit…

Number Theory · Mathematics 2013-08-19 Lenny Fukshansky , Glenn Henshaw

We review the recent literature on lattice simulations for few- and many-body systems. We focus on methods and results that combine the framework of effective field theory with computational lattice methods. Lattice effective field theory…

Nuclear Theory · Physics 2010-11-23 Dean Lee

We advocate lattice methods as the tool of choice to constructively define a background-independent theory of Lorentzian quantum gravity and explore its physical properties in the Planckian regime. The formulation that arguably has most…

High Energy Physics - Lattice · Physics 2011-05-30 J. Ambjorn , J. Jurkiewicz , R. Loll

I discuss the lattice calculations relevant to recent advances in CKM phenomenology, focusing on those relevant to new experimental results reported at this workshop.

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul B. Mackenzie

I review the results of hadron spectroscopy calculations from lattice QCD for an intended audience of low energy hadronic physicists. I briefly introduce the ideas of numerical lattice QCD. The various systematic errors, such as the lattice…

High Energy Physics - Lattice · Physics 2016-11-23 Craig McNeile

Master-field simulations offer an approach to lattice QCD in which calculations are performed on a small number of large-volume gauge-field configurations. The latter is advantageous for simulations in which the global topological charge is…

High Energy Physics - Lattice · Physics 2022-12-20 Mattia Bruno , Marco Cè , Anthony Francis , Jeremy R. Green , Max Hansen , Savvas Zafeiropoulos

Quantum gravity is studied in the path integral formulation applying the Regge calculus. Restricting the quadratic link lengths of the originally triangular lattice the path integral can be transformed to the partition function of a spin…

High Energy Physics - Lattice · Physics 2011-04-15 W. Beirl , H. Markum , J. Riedler

The simulation of real-time dynamics in lattice gauge theories is particularly hard for classical computing due to the exponential scaling of the required resources. On the other hand, quantum algorithms can potentially perform the same…

Quantum Physics · Physics 2020-11-11 Simon V. Mathis , Guglielmo Mazzola , Ivano Tavernelli

This is the write-up of a set of lectures on the comparison between Lattice Gauge Theories and AdS/CFT results for the non-perturbative behaviour of non-supersymmetric Yang Mills theories. These notes are intended for students which are…

High Energy Physics - Theory · Physics 2016-12-28 M. Caselle

A method is proposed for exactly calculating the partition function of a rectangular Ising lattice with the presence of a uniform external field. This approach is based on the method of the transfer matrix developed about seventy years ago…

General Physics · Physics 2013-10-02 C. B. Yang

A brief review is given of attempts to understand the energies of four-quark systems calculated on a lattice in terms of nuclear-physics-inspired many-body techniques involving interquark potentials. Results are given for the next stage of…

High Energy Physics - Lattice · Physics 2007-05-23 UKQCD Collaboration , A. M. Green , J. Koponen , P. Pennanen , C. Michael

Inspired by the duality between gravity and defects in crystals, we study lattice field theory with torsion. The torsion is realized by a line defect of a lattice, namely a dislocation. As the first application, we perform the numerical…

High Energy Physics - Lattice · Physics 2019-09-30 Shota Imaki , Arata Yamamoto

Lattice regularization is used to perform chiral perturbation theory calculations in finite volume. The lattice spacing is chosen small enough to be irrelevant, and numerical results are obtained from simple summations.

High Energy Physics - Lattice · Physics 2009-11-10 Bugra Borasoy , Randy Lewis , Daniel Mazur

We discuss how lattice calculations can be a useful tool for the study of structure functions. Particular emphasis is given to the perturbative renormalization of the operators.

High Energy Physics - Phenomenology · Physics 2009-11-07 Stefano Capitani

Some interesting heavy-flavor questions are mentioned that may yield to the methods of lattice QCD. Special emphasis is placed on topics which arise in the discussion of CP violation in $B$ decays. Other subjects include quarkonium and…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jonathan L. Rosner

I review our current understanding of the properties of strongly interacting matter at high temperatures, based upon numerical calculations in lattice QCD. I discuss the chiral and deconfining aspects of the QCD transition, the equation of…

High Energy Physics - Lattice · Physics 2015-06-04 P. Petreczky

A novel lattice approach is presented for studying systems comprising a large number of interacting nonrelativistic fermions. The construction is ideally suited for numerical study of fermions near unitarity--a strongly coupled regime…

High Energy Physics - Lattice · Physics 2015-03-17 Michael G. Endres , David B. Kaplan , Jong-Wan Lee , Amy N. Nicholson