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Gauge-fixing as a sampling procedure of gauge copies provides a possibility to construct well-defined gauges also beyond perturbation theory. The implementation of such sampling strategies in lattice gauge theory is briefly outlined, and…

High Energy Physics - Theory · Physics 2013-03-15 Axel Maas

We show that the effective gauge field for photons provides a versatile platform for controlling the flow of light. As an example we consider a photonic resonator lattice where the coupling strength between nearest neighbor resonators are…

Optics · Physics 2015-06-17 Kejie Fang , Shanhui Fan

Center vortices are studied in SU(3) gauge theory using Maximal Center Gauge (MCG) fixing. Stout link smearing and over-improved stout link smearing are used to construct a preconditioning gauge field transformation, applied to the original…

High Energy Physics - Lattice · Physics 2011-02-18 Alan Ó Cais , Waseem Kamleh , Kurt Langfeld , Ben Lasscock , Derek Leinweber , Peter Moran , Andre Sternbeck , Lorenz von Smekal

In this paper, we study modulus of continuity and rate of convergence of series of conditionally sub-Gaussian random fields. This framework includes both classical series representations of Gaussian fields and LePage series representations…

Statistics Theory · Mathematics 2015-07-29 Hermine Biermé , Céline Lacaux

We analyze the main features of granular shear flow through experimental measurements in a Couette geometry and a comparison to a locally Newtonian, continuum model of granular flow. The model is based on earlier hydrodynamic models,…

Statistical Mechanics · Physics 2021-05-26 L. Bocquet , W. Losert , D. Schalk , T. C. Lubensky , J. P. Gollub

Models of Dynamical Electroweak Symmetry Breaking are expected to display a quasi-conformal scaling behaviour in order to accommodate experimental constraints. The scaling properties of a theory can be studied using finite volume…

High Energy Physics - Lattice · Physics 2012-11-05 Stefan Sint , Pol Vilaseca

We study the Yang-Mills gradient flow using numerical stochastic perturbation theory. As an application of the method we consider the recently proposed gradient flow coupling in the Schr\"odinger functional for the pure SU(3) gauge theory.

High Energy Physics - Lattice · Physics 2013-12-20 Mattia Dalla Brida , Dirk Hesse

Feynman rules for the vacuum amplitude of fermions coupled to external gauge and Higgs fields in a domain wall lattice model are derived using time--dependent perturbation theory. They have a clear and simple structure corresponding to…

High Energy Physics - Theory · Physics 2016-09-06 S. Randjbar-Daemi , J. Strathdee

The implementation of the linear covariant gauge on the lattice faces a conceptual problem: using the standard compact discretization, the gluon field is bounded, while the four-divergence of the gluon field satisfies a Gaussian…

High Energy Physics - Lattice · Physics 2011-02-28 Attilio Cucchieri , Tereza Mendes , Gilberto M. Nakamura , Elton M. S. Santos

The classification of Lorentz- and CPT-violating operators in nonabelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields.…

High Energy Physics - Phenomenology · Physics 2019-04-03 Alan Kostelecky , Zonghao Li

It is shown that gauge theories are most naturally studied via a polar decomposition of the field variable. Gauge transformations may be viewed as those that leave the density invariant but change the phase variable by additive amounts. The…

Other Condensed Matter · Physics 2016-08-31 Girish S. Setlur

Effective quantum field theoretical continuum models for graphene are investigated. The models include a complex scalar field and a vector gauge field. Different gauge theories are considered and their gap patterns for the scalar, vector,…

Materials Science · Physics 2011-05-27 O. Oliveira , C. E. Cordeiro , A. Delfino , W. de Paula , T. Frederico

The effect of repeatedly smearing SU(3) gauge configurations is investigated. Six gauge actions (Wilson, Symanzik, Iwasaki, DBW2, Beinlich-Karsch-Laermann, Langfeld; combined with a direct SU(3)-overrelaxation step) and three smearings…

High Energy Physics - Lattice · Physics 2009-11-10 Stephan Dürr

A crucial step in extracting physical predictions from lattice QCD simulations is the scale setting, i.e. the determination of the lattice spacing ($a$) in physical units. Herein, the relative scale setting for different $\beta$'s is…

High Energy Physics - Lattice · Physics 2025-12-24 Orlando Oliveira , Paulo J Silva

We study a systematic improvement of perturbation theory for gauge fields on the lattice; the improvement entails resumming, to all orders in the coupling constant, a dominant subclass of tadpole diagrams. This method, originally proposed…

High Energy Physics - Lattice · Physics 2009-11-11 M. Constantinou , H. Panagopoulos , A. Skouroupathis

We propose a new method for simulating lattice gauge theories in the presence of fermions. The method combines flow-based generative models for local gauge field updates and hierarchical updates of the factorized fermion determinant. The…

High Energy Physics - Lattice · Physics 2022-01-10 Jacob Finkenrath

We analyze the Schwinger model on an infinite lattice using the continuum definition of the fermion determinant and a linear interpolation of the lattice gauge fields. The possible class of interpolations for the gauge fields, compatible…

High Energy Physics - Lattice · Physics 2009-10-28 Christof Gattringer

The recent introduction of the gradient flow has provided a new tool to probe the dynamics of quantum field theories. The latest developments have shown how to use the gradient flow for the exploration of symmetries, and the definition of…

High Energy Physics - Theory · Physics 2015-06-16 Luigi Del Debbio , Agostino Patella , Antonio Rago

A discrete field formalism exposes the physical meaning and origins of gauge fields, their symmetries and singularities. They represent a lack of a stricter field-source coherence.

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M. de Souza

Multifractal systems usually have singularity spectra defined on bounded sets of H\"older exponents. As a consequence, their associated multifractal scaling exponents are expected to depend linearly upon statistical moment orders at high…

Fluid Dynamics · Physics 2021-06-30 L. Moriconi