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A remarkable progress has been made in the understanding of the hot and dense QCD matter using lattice gauge theory. The issues which are very well understood as well those which require both conceptual as well as algorithmic advances are…

High Energy Physics - Lattice · Physics 2014-11-21 Sayantan Sharma

Several physical problems in particle physics, nuclear physics, and astrophysics require information from non-perturbative QCD to gain a full understanding. In some cases the most reliable technique for quantitative results is to carry out…

High Energy Physics - Lattice · Physics 2016-11-23 Andreas S. Kronfeld

Combining the Kaplan surface mode approach for chiral fermions with added terms motivated by Eichten and Preskill suggests the possibility for a lattice regularization of the standard model which is finite, exactly gauge invariant, and only…

High Energy Physics - Lattice · Physics 2009-10-28 Michael Creutz , Michel Tytgat , Claudio Rebbi , She-Sheng Xue

Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned…

Mesoscale and Nanoscale Physics · Physics 2018-06-07 Daniel Leykam , Alexei Andreanov , Sergej Flach

Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the…

We present the lattice gauge theory approach to evaluating non-perturbative hadronic interactions from first principles. We discuss applications to glueballs, inter-quark potentials, the running coupling constant, the light hadron spectrum…

High Energy Physics - Lattice · Physics 2008-02-03 C. Michael

The methods of lattice gauge theory may be applied to gauge theories besides QCD, in fact to any gauge group and any representation of matter fields (as long as the coupling is not chiral). Such theories are useful for model building beyond…

High Energy Physics - Lattice · Physics 2010-02-25 Benjamin Svetitsky

I discuss some of the difficulties with formulating chiral symmetry on the lattice and review a recently proposed scheme for a fully finite and exactly gauge invariant lattice regularization of the standard model.

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

This brief review surveys recent progress driven by the gauge/Yang-Baxter equation (YBE) correspondence. This connection has proven to be a powerful tool for discovering novel integrable lattice spin models in statistical mechanics by…

High Energy Physics - Theory · Physics 2025-10-31 Mustafa Mullahasanoglu

Logarithmic Conformal Field Theories (LCFT) play a key role, for instance, in the description of critical geometrical problems (percolation, self avoiding walks, etc.), or of critical points in several classes of disordered systems…

High Energy Physics - Theory · Physics 2013-11-22 A. M. Gainutdinov , J. L. Jacobsen , N. Read , H. Saleur , R. Vasseur

We study Euclidean lattice formulations of non-gauge supersymmetric models with up to four supercharges in various dimensions. We formulate the conditions under which the interacting lattice theory can exactly preserve one or more nilpotent…

High Energy Physics - Theory · Physics 2008-11-26 Joel Giedt , Erich Poppitz

I present a brief overview of some exciting possibilities for physics Beyond the Standard Model. I include short discussions of neutrino physics, the strong CP problem and axions, GUTs, large and warped extra dimensions, Little Higgs models…

High Energy Physics - Phenomenology · Physics 2010-01-15 Howard Baer

A simple lattice model inducing a gauge theory is considered. The model describes an interaction of a gauge field to an $N\times N$ complex matrix scalar field transforming as a field in the fundamental representation. In contrast to the…

High Energy Physics - Theory · Physics 2011-07-19 I. Ya. Aref'eva

An accurate description of nuclear matter starting from free-space nuclear forces has been an elusive goal. The complexity of the system makes approximations inevitable, so the challenge is to find a consistent truncation scheme with…

Nuclear Theory · Physics 2009-10-31 R. J. Furnstahl , James V. Steele , Negussie Tirfessa

Gauge-fixed correlation functions are a valuable tool in intermediate steps when determining gauge-invariant physics. However, when obtaining them in different calculations, it is necessary to use exactly the same definition of the gauge to…

High Energy Physics - Theory · Physics 2012-01-06 Axel Maas

The lattice field theory approach to the statistical mechanics of a classical Coulomb gas [R. Coalson and A. Duncan, J. Chem. Phys. 97,5653(1992)] is generalized to include charged polymer chains. Saddle-point analysis is done on the…

Condensed Matter · Physics 2007-05-23 R. D. Coalson , A. Duncan , S. Tsonchev

High dimensional integrals are abundant in many fields of research including quantum physics. The aim of this paper is to develop efficient recursive strategies to tackle a class of high dimensional integrals having a special product…

Numerical Analysis · Mathematics 2021-07-28 Tobias Hartung , Karl Jansen , Frances Y. Kuo , Hernan Leövey , Dirk Nuyens , Ian H. Sloan

Motivated by the connection between gauge field topology and the axial anomaly in fermion currents, I use the fourth power of the naive Dirac operator to define a local lattice measure of topological charge. For smooth gauge fields this…

High Energy Physics - Lattice · Physics 2011-03-07 Michael Creutz

The possibility of revealing new physics by studying the flavor sector of the Standard Model strongly depends upon the accuracy that will be achieved in (near) future lattice QCD calculations and, in particular, on heavy-light meson's…

High Energy Physics - Phenomenology · Physics 2008-10-21 N. Tantalo

Some recent results of lattice QCD calculations which are relevant for the phenomenology of the Standard Model are reviewed. They concern the lattice determinations of quark masses, studies of K-Kbar and B-Bbar mixings, and a prediction of…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Lubicz