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We calculate the perturbative corrections to fermion bilinears that are used in numerical simulations when extracting weak matrix elements using staggered fermions. This extends previous calculations of Golterman and Smit, and Daniel and…

High Energy Physics - Lattice · Physics 2014-11-17 Apoorva Patel , Stephen Sharpe

X-ray Computed Laminography (CL) is essential for non-destructive inspection of plate-like structures in applications such as microchips and composite battery materials, where traditional computed tomography (CT) struggles due to geometric…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Chu Chen , Ander Biguri , Jean-Michel Morel , Raymond H. Chan , Carola-Bibiane Schönlieb , Jizhou Li

We discuss a method for regularizing chiral gauge theories. The idea is to formulate the gauge fields on the lattice, while the fermion determinant is regularized and computed in the continuum. A simple effective action emerges which lends…

High Energy Physics - Lattice · Physics 2007-05-23 V. Bornyakov , G. Schierholz , A. Thimm

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

This paper studies the problem of accurately recovering a structured signal from a small number of corrupted sub-Gaussian measurements. We consider three different procedures to reconstruct signal and corruption when different kinds of…

Information Theory · Computer Science 2017-09-19 Jinchi Chen , Yulong Liu

An Algorithm is proposed for the simulation of pure SU(N) lattice gauge theories based on Genetic Algorithms(GAs). Main difference between GAs and Metropolis methods(MPs) is that GAs treat a population of points at once, while MPs treat…

High Energy Physics - Lattice · Physics 2007-05-23 Yamaguchi Azusa

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

We describe an approach to fix the gauge degrees of freedom in tensor networks, including those with closed loops, which allows a canonical form for arbitrary tensor networks to be realized. Additionally, a measure for the internal…

Quantum Physics · Physics 2018-09-12 Glen Evenbly

In order to achieve gauge unification at the string scale M_X sim 5.10^17 GeV in the minimal supersymmetric standard model (MSSM) it is necessary to add extra gauge non-singlet representations at an intermediate scale M_I<M_X, leading to a…

High Energy Physics - Phenomenology · Physics 2011-01-13 B. C. Allanach , S. F. King

We minimally extend the Standard Model field content by adding new vector-like fermions at the TeV scale to allow gauge coupling unification at a realistic scale. We embed the model into a $SU(5)$ grand unified theory that is asymptotically…

High Energy Physics - Phenomenology · Physics 2021-06-02 M. Fabbrichesi , C. M. Nieto , A. Tonero , A. Ugolotti

In Part I of this article we generalize the Linearized Doubling (LD) approach, introduced in earlier work by NK, by proving a general theorem stating that if $\Sigma$ is a closed minimal surface embedded in a Riemannian three-manifold…

Differential Geometry · Mathematics 2022-12-06 Nikolaos Kapouleas , Peter McGrath

We present a Monte Carlo renormalisation group study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two-lattice matching technique we measure the running of the coupling and the anomalous mass…

High Energy Physics - Phenomenology · Physics 2013-05-30 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

We report on recent progress with the definition of lattice chiral gauge theories, using a lattice action that includes a discretized Lorentz gauge-fixing term. This gauge-fixing term has a unique global minimum, and allows us to use…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bock , M. Golterman , Y. Shamir

We calculate lattice renormalisation constants of local and one-link quark operators for overlap fermions and improved gauge actions in one-loop perturbation theory. For the local operators we stout smear the SU(3) links in the fermionic…

High Energy Physics - Lattice · Physics 2011-04-11 R. Horsley , H. Perlt , P. E. L. Rakow , G. Schierholz , A. Schiller

We revisit the classic stability problem of the buckling of an inextensible, axially compressed beam on a nonlinear elastic foundation with a semi-analytical approach to understand how spatially localized deformation solutions emerge in…

Pattern Formation and Solitons · Physics 2020-09-03 Shrinidhi S. Pandurangi , Ryan S. Elliott , Timothy J. Healey , Nicolas Triantafyllidis

We study a concrete lattice regularization of a U(1) chiral gauge theory. We use Wilson fermions, and include a Lorentz gauge-fixing term and a gauge-boson mass counterterm. For a reduced version of the model, in which the gauge fields are…

High Energy Physics - Lattice · Physics 2009-10-30 Wolfgang Bock , Maarten Golterman , Yigal Shamir

The unitary gauge fixing technique is applied to the QCD hamiltonian formulated in terms of angular variables. It is demonstrated that in this formulation projections on the physical Hilbert space are unnecessary to separate physical and…

High Energy Physics - Phenomenology · Physics 2009-10-28 Dieter Stoll

By construction, gauge theories require gauge fixing. In conventional approaches to spontaneously broken gauge theories, the choice of the Unitary ('t Hooft) gauge involves the sacrifice of manifest renormalizability (unitarity). It is…

High Energy Physics - Theory · Physics 2014-12-19 Gary B. Tupper

Applications of normalizing flows to the sampling of field configurations in lattice gauge theory have so far been explored almost exclusively in two space-time dimensions. We report new algorithmic developments of gauge-equivariant flow…

A generalized gauge fixing which interpolates among the Landau, Coulomb and maximal Abelian gauges is constructed.

High Energy Physics - Theory · Physics 2008-11-26 M. A. L. Capri , R. F. Sobreiro , S. P. Sorella