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I review the strategies which have been developped in recent years to solve the non-perturbative renormalization problem in lattice field theories. Although the techniques are general, the focus will be on applications to lattice QCD. I…

High Energy Physics - Lattice · Physics 2009-10-31 Stefan Sint

In these lectures, we discuss different types of renormalization problems in QCD and their non-perturbative solution in the framework of the lattice formulation. In particular the recursive finite size methods to compute the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Rainer Sommer

We introduce and motivate the study of quantum spin chains on a one-dimensional lattice. We classify the varieties of methods that have been used to study these models into three categories, - a) exact methods to study specific models b)…

Statistical Mechanics · Physics 2007-05-23 Sumathi Rao

I review recent lattice results on strongly interacting matter under extreme conditions, with emphasis on the finite-temperature QCD transition at $\mu_B=0$, its approach toward the chiral limit and the fate of the $U_A(1)$ anomaly, as well…

High Energy Physics - Lattice · Physics 2026-05-12 Heng-Tong Ding

Now that lattice QCD simulations are able to include effects of light sea quarks, the prospects are good for constraining quark flavor phenomenology. This review talk for particle physics experimentalists begins with an introduction…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthew Wingate

In this article we introduce theory and algorithms for learning discrete representations that take on a lattice that is embedded in an Euclidean space. Lattice representations possess an interesting combination of properties: a) they can be…

Machine Learning · Computer Science 2020-06-25 Luis A. Lastras

The properties of several phase transitions relevant to the lattice study of Quantum Field Theory are investigated.

High Energy Physics - Lattice · Physics 2007-05-23 Isabel Campos

I report on some recent developments in nonperturbative studies of finite temperature QCD with dynamical quarks on the lattice. I discuss new studies of improved lattice actions and their application to finite temperature QCD. I also…

High Energy Physics - Phenomenology · Physics 2014-11-17 Kazuyuki Kanaya

We are doubtlessly familiar with some edition of Jackson's tome on electrodynamics, and Schwinger's calculation of the anomalous magnetic moment of the electron in QED. From the perspective of strong interactions, however, electromagnetic…

High Energy Physics - Lattice · Physics 2011-11-03 B. C. Tiburzi

I present introductory lectures on the use of effective field theory methods in QCD at low energies.

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Gasser

Lattice techniques are the most reliable ones to investigate the QCD phase diagram in the temperature-baryon density (chemical potential) plane. These techniques are, however, well-known to be saddled with a variety of problems at nonzero…

High Energy Physics - Lattice · Physics 2021-12-01 Rajiv V. Gavai

In these lectures I explain how chiral symmetry of continuum QCD naturally leads to a class of lattice regularisations known as twisted mass QCD (tmQCD). As compared to standard Wilson quarks, its advantages are the absence of unphysical…

High Energy Physics - Lattice · Physics 2017-08-23 Stefan Sint

Lattice Quantum Chromodynamics (QCD) is an approach used by theoretical physicists to model the strong nuclear force. This works at the sub-nuclear scale to bind quarks together into hadrons including the proton and neutron. One of the long…

High Energy Physics - Lattice · Physics 2018-12-27 Dean P. Thomas , Rita Borgo , Hamish Carr , Simon Hands

The quantum diffusion of a particle in an initially localized state on a cyclic lattice with N sites is studied. Diffusion and reconstruction time are calculated. Strong differences are found for even or odd number of sites and the limit…

Quantum Physics · Physics 2007-05-23 A. C. de la Torre , H. O. Martin , D. Goyeneche

This thesis deals with the study of properties and interactions of light mesons. Specifically, we focus on hadronic decay and scattering processes, which are dominated by effects of the strong interaction in the low-energy regime. A…

High Energy Physics - Lattice · Physics 2021-10-14 Fernando Romero-López

We formulate lattice QCD in rotating frames to study the physics of QCD matter under rotation. We construct the lattice QCD action with the rotational metric and apply it to the Monte Carlo simulation. As the first application, we calculate…

High Energy Physics - Lattice · Physics 2013-08-23 Arata Yamamoto , Yuji Hirono

QCD at finite density presents specific challenges to lattice gauge theory. Nonetheless, a region of the QCD phase diagram up to moderately large baryon chemical potentials has been successfully explored on the lattice and new results and…

High Energy Physics - Lattice · Physics 2008-11-26 M. -P. Lombardo

CKM-unitarity, direct and indirect CP-violation and the \Delta I=1/2 rule in full lattice QCD are the focus of this talk. To this end I will discuss and compare recent lattice results for leptonic, semi-leptonic and non-leptonic decays of…

High Energy Physics - Lattice · Physics 2009-04-14 Andreas Juttner

This series of lectures consists of two parts. In the first part the foundations of perturbative and non perturbative formulation are discussed. The ambiguity in the definition of vacuum condensates is then analyzed. In the second part the…

High Energy Physics - Lattice · Physics 2007-05-23 Adriano Di Giacomo

We propose an improvement of the differential method for the computation of the equation of state of QCD from lattice simulations. In contrast to the earlier differential method our technique yields positive pressure for all temperatures…

High Energy Physics - Lattice · Physics 2015-06-25 Rajiv V. Gavai , Sourendu Gupta , Swagato Mukherjee
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