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A parametrization of gauge fields on complex projective spaces of arbitrary dimension is given as a generalization of the two-dimensional case. Gauge transformations act homogeneously on the fields, facilitating a manifestly gauge-invariant…

High Energy Physics - Theory · Physics 2022-11-18 Dimitra Karabali , Antonina Maj , V. P. Nair

We show the result of the lattice gauge field tensor which is derived from the classical continuum limit of the overlap Dirac operator. By analogous construction, it was recently proposed that the gauge action can be obtained from the…

High Energy Physics - Lattice · Physics 2009-04-14 K. F. Liu

We present a formalism to evaluate QCD diagrams with a single virtual gluon using a running coupling constant at the vertices. This method, which corresponds to an all-order resummation of certain terms in a perturbative series, provides a…

High Energy Physics - Phenomenology · Physics 2010-11-01 Matthias Neubert

Machine-learned normalizing flows can be used in the context of lattice quantum field theory to generate statistically correlated ensembles of lattice gauge fields at different action parameters. This work demonstrates how these…

The recent introduction of machine learning techniques, especially normalizing flows, for the sampling of lattice gauge theories has shed some hope on improving the sampling efficiency of the traditional HMC algorithm. Naive use of…

High Energy Physics - Lattice · Physics 2022-12-06 David Albandea , Luigi Del Debbio , Pilar Hernández , Richard Kenway , Joe Marsh Rossney , Alberto Ramos

We still extend the large class of Dirac operators decribing massless fermions on the lattice found recently, only requiring that such operators decompose into Weyl operators. After deriving general relations and constructions of operators,…

High Energy Physics - Lattice · Physics 2014-11-17 Werner Kerler

Operator cutoff regularization based on the original Schwinger's proper-time formalism is examined. By constructing a regulating smearing function for the proper-time integration, we show how this regularization scheme simulates the usual…

High Energy Physics - Theory · Physics 2010-01-07 Sen-Ben Liao

I present the recent developments in a specific sub-field of chiral gauge theories on the lattice. This sub-field pertains to the use of infinitely many fermi fields to describe a single chiral field. In this approach, both anomalous and…

High Energy Physics - Lattice · Physics 2009-10-22 Rajamani Narayanan

We discuss a new approach for putting gauge theories on the lattice. The gauge fields are defined on the lattice only, but are interpolated to the interior of the lattice cells, where they couple to continuum fermions. The purpose of this…

High Energy Physics - Lattice · Physics 2007-05-23 Christof Gattringer

We study fermions that are gauge-coupled to a cavity mode via Raman-assisted hopping in a one dimensional lattice. For an infinite lattice, we find a superradiant phase with infinitesimal pumping threshold which induces a directed particle…

Quantum Gases · Physics 2016-10-26 Wei Zheng , Nigel R. Cooper

A major problem with periodic boundary condition on the gauge fields used in current lattice gauge theory simulations is the trapping of topological charge in a particular sector as the continuum limit is approached. To overcome this…

High Energy Physics - Lattice · Physics 2015-04-15 Abhishek Chowdhury , A. Harindranath , Jyotirmoy Maiti

A gauge field link smearing method developed for calculations with staggered fermions, namely the use of unitarized fat7 links, is applied to mesonic and baryonic Wilson loop calculations. This method is found to be very effective for…

High Energy Physics - Lattice · Physics 2009-11-10 F. Okiharu , R. M. Woloshyn

Classical real-time lattice simulations play an important role in understanding non-equilibrium phenomena in gauge theories and are used in particular to model the prethermal evolution of heavy-ion collisions. Above the Debye scale the…

High Energy Physics - Lattice · Physics 2018-03-29 Tuomas Lappi , Aleksi Kurkela , Jarkko Peuron

We numerically study the SU(2) gauge theory with two dynamical flavors of the domain-wall fermions in fundamental representation. The meson spectra and the residual mass are measured on three lattice volumes and at two values of gauge…

High Energy Physics - Lattice · Physics 2014-01-28 Hideo Matsufuru , Yoshio Kikukawa , Kei-ichi Nagai , Norikazu Yamada

The effect of Stout smearing is investigated in numerical simulations with twisted mass Wilson quarks. The phase transition near zero quark mass is studied on 12^3x24, 16^3x32 and 24^3x48 lattices at lattice spacings a = 0.1 - 0.125 fm.

High Energy Physics - Lattice · Physics 2009-04-14 K. Jansen , C. McNeile , I. Montvay , C. Richards , E. E. Scholz , C. Urbach , U. Wenger

We formulate a stochastic generalisation of the Schwinger effect, extending pair production to statistically fluctuating gauge-field backgrounds. Our approach captures realistic field configurations that are transient, inhomogeneous, and…

High Energy Physics - Theory · Physics 2026-03-11 Lucas Vicente García-Consuegra , Azadeh Maleknejad

We address the problem of identifying families of discrete models naturally flowing in continuum limit to relativistic quantum field theories. We call them Dirac graphs. In this work, we require the graphs to obey spectrality property,…

High Energy Physics - Theory · Physics 2017-08-08 Corneliu Sochichiu

We study the electronic properties of rippled freestanding graphene membranes under central load from a sharp tip. To that end, we develop a gauge field theory on a honeycomb lattice valid beyond the continuum theory. Based on the proper…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 James V. Sloan , Alejandro A. Pacheco Sanjuan , Zhengfei Wang , Cedric Horvath , Salvador Barraza-Lopez

The overlap formula for the chiral determinant is presented and the realization of gauge anomalies and gauge field toplogy in this context is discussed. The ability of the overlap formalism to deal with supersymmetric theories and…

High Energy Physics - Lattice · Physics 2009-09-25 Rajamani Narayanan

A recently proposed method for regularizing chiral gauge theories non-perturbatively is discussed in detail. The result is an effective action which can be computed from the lattice gauge field, and which is suited for numerical…

High Energy Physics - Lattice · Physics 2009-09-25 V. Bornyakov , G. Schierholz , A. Thimm