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In this and a set of companion whitepapers, the USQCD Collaboration lays out a program of science and computing for lattice gauge theory. These whitepapers describe how calculation using lattice QCD (and other gauge theories) can aid the…

High Energy Physics - Lattice · Physics 2019-11-26 Bálint Joó , Chulwoo Jung , Norman H. Christ , William Detmold , Robert G. Edwards , Martin Savage , Phiala Shanahan

A number of proposed extensions of the Standard Model include new strongly interacting dynamics, in the form of SU(N) gauge fields coupled to various numbers of fermions. Often, these extensions allow N = 3 as a plausible choice, or even…

High Energy Physics - Phenomenology · Physics 2025-10-09 Thomas DeGrand , Ethan T. Neil

Lattice gauge theory with a background gauge field is shown to be renormalizable to all orders of perturbation theory. No additional counterterms are required besides those already needed in the absence of the background field. The argument…

High Energy Physics - Lattice · Physics 2009-10-28 Martin Luescher , Peter Weisz

Many of the exciting features of the Standard Model of the elementary particles are inherently non-perturbative. A theoretical understanding of many physics aspects beyond the Standard Model of elementary particles also requires a…

High Energy Physics - Lattice · Physics 2024-02-12 Navdeep Singh Dhindsa

The consideration of quantum fields defined on a spacetime lattice provides computational techniques which are invaluable for studying gauge theories nonperturbatively from first principles. Perturbation theory is an essential aspect of…

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

A review of investigations of running couplings using lattice techniques is given. This includes i) studies of the running of particular non-perturbatively defined renormalized couplings in pure gauge theories over a range of energies, and…

High Energy Physics - Lattice · Physics 2009-10-28 Peter Weisz

A new class of exclusion type processes acting in continuum with synchronous updating is introduced and studied. Ergodic averages of particle velocities are obtained and their connections to other statistical quantities, in particular to…

Dynamical Systems · Mathematics 2015-05-13 Michael Blank

Technicolor theories provide an elegant mechanism for dynamical electroweak symmetry breaking. We will discuss the use of lattice simulations to study the strongly-interacting dynamics of some of the candidate theories, with matter fields…

High Energy Physics - Lattice · Physics 2009-09-18 C. Pica , L. Del Debbio , B. Lucini , A. Patella , A. Rago

We construct lattice actions for a variety of (2,2) supersymmetric gauge theories in two dimensions with matter fields interacting via a superpotential.

High Energy Physics - Lattice · Physics 2010-02-03 Michael G. Endres , David B. Kaplan

A brief review of theoretical progress in hadron spectroscopy and nonperturbative QCD is presented. Attention is focussed on recent lattice gauge theory, the Dyson-Schwinger formalism, effective field theory, unquenching constituent models,…

High Energy Physics - Phenomenology · Physics 2009-10-30 E. S. Swanson

We construct lattice action for three-dimensional ${\cal N}=4$ supersymmetric gauge theory with matter fields in the fundamental representation.

High Energy Physics - Lattice · Physics 2013-09-17 Anosh Joseph

These lectures describe why one believes there is physics beyond the Standard Model and review the expectations of three alternative explanations for the Fermi scale. After examining constraints and hints for beyond the Standard Model…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Peccei

Lattice simulation of supersymmetric gauge theories is not straightforward. In some cases the lack of manifest supersymmetry just necessitates cumbersome fine-tuning, but in the worse cases the chiral and/or Majorana nature of fermions…

High Energy Physics - Lattice · Physics 2008-11-26 Masanori Hanada , Jun Nishimura , Shingo Takeuchi

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Pich

Gauge invariance is a powerful tool to determine the dynamics of the electroweak and strong forces. The particle content, structure and symmetries of the Standard Model Lagrangian are discussed. Special emphasis is given to the many…

High Energy Physics - Phenomenology · Physics 2007-06-13 Antonio Pich

The status of lattice calculations in Quantum Field Theory is reviewed. A major part is devoted to recent progress in formulating exact chiral symmetry on the lattice. Another topic which has received a lot of attention is the influence of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hartmut Wittig

Nonlinear field theories can be used to study both standard physics questions, or to study questions such as the emergence of order and complexity. These theories are generally derived from the symmetries of a given problem and the…

Adaptation and Self-Organizing Systems · Physics 2007-09-14 Joel Thorarinson , Marcelo Gleiser

The gauge/gravity duality provides us with nonperturbative formulation of superstring/M-theory. Although inputs from gauge theory side are crucial for answering many deep questions associated with quantum gravitational aspects of…

High Energy Physics - Lattice · Physics 2016-08-24 Masanori Hanada

We advocate an effective field theory approach to anomalous couplings. The effective field theory approach is the natural way to extend the standard model such that the gauge symmetries are respected. It is general enough to capture any…

High Energy Physics - Phenomenology · Physics 2015-06-05 Celine Degrande , Nicolas Greiner , Wolfgang Kilian , Olivier Mattelaer , Harrison Mebane , Tim Stelzer , Scott Willenbrock , Cen Zhang

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

Statistics Theory · Mathematics 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu
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