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The experimental situation with regard to measurements of the pion charge form factor is reviewed. Both existing data and planned experiments are discussed.

Nuclear Experiment · Physics 2007-05-23 H. P. Blok , G. M. Huber , D. J. Mack

We give an introduction to renormalisation, focusing first on a pedagogical description of fundamental concepts of the procedure and its features, then we introduce the renormalisation group and its equations. We discuss then the case of…

High Energy Physics - Phenomenology · Physics 2026-05-21 Leonardo Di Giustino

Building on recent work in SU(N) Yang-Mills theory, we construct a manifestly gauge invariant exact renormalization group for QCD. A gauge invariant cutoff is constructed by embedding the physical gauge theory in a spontaneously broken…

High Energy Physics - Theory · Physics 2008-11-26 Tim R. Morris , Oliver J. Rosten

We suggest a new mass generation mechanism for gauge fields. The quantum field theory constructed in this paper is nonabelian, gauge invariant and asymptotically free.

High Energy Physics - Theory · Physics 2008-03-10 A. Sevostyanov

A possible Yang-Mills like lagrangian formulation for gravity is explored. The starting point consists on two next assumptions. First, the metric is assumed as a real map from a given gauge group. Second, a gauge invariant lagrangian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rolando Gaitan

The antibracket formalism for gauge theories, at both the classical and quantum level, is reviewed. Gauge transformations and the associated gauge structure are analyzed in detail. The basic concepts involved in the antibracket formalism…

High Energy Physics - Theory · Physics 2009-10-28 Joaquim Gomis , Jordi Paris , Stuart Samuel

In this article, we compare different formulations of the number count prescription using the convenient formalism of the Geodesic-Light-Cone gauge. We then find a simple, exact, and very general expression of such a prescription which is…

High Energy Physics - Theory · Physics 2023-07-11 G. Fanizza , M. Gasperini , G. Marozzi

In some recent papers it is claimed that the physical significance of the vacuum angle theta for QCD-like theories depends on the chosen gauge condition. We criticise the arguments that were given in support of this claim, and show by…

High Energy Physics - Theory · Physics 2009-10-31 Christoph Adam

We discuss a new method for testing confinement and measuring the string tension (in the Coulomb gauge). Our numerical simulations demonstrate that the problems related to Gribov copies are not harmful and that the method is effective in…

High Energy Physics - Lattice · Physics 2009-10-22 E. Marinari , M. L. Paciello , G. Parisi , B. Taglienti

We derive new QCD sum rules for the axial coupling constants by considering two-point correlation functions of the axial-vector currents in a one nucleon state. The QCD sum rules tell us that the axial coupling constants are expressed by…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Nishikawa , S. Saito , Y. Kondo

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

A gauge-invariant color-charge operator is defined and related to an integral of the gauge-invariant chromoelectric field over a closed surface. We discuss the case of a surface all of whose points are a macroscopic distance from a system…

High Energy Physics - Theory · Physics 2007-05-23 Kurt Haller

We prove a continued fraction expansion for the reciprocal of a certain $q$-series. All the specialists in the world are asked whether it is new or not.

Combinatorics · Mathematics 2008-06-06 Helmut Prodinger

We employ a new method, "gauge cooling", to stabilize complex Langevin simulations of QCD with heavy quarks. The results are checked against results obtained with reweigthing; we find agreement within the estimated errors. The method allows…

High Energy Physics - Lattice · Physics 2015-06-12 Erhard Seiler , Dénes Sexty , Ion-Olimpiu Stamatescu

We extend a result about the gauge action on noncommutative solitons by showing that a family of functions can be gauged away to a Gaussian using the quantification condition given in "On a gauge action on sigma model solitons" IDAQP(2018).

Operator Algebras · Mathematics 2020-02-12 Hyun Ho Lee

We present an extension of a previously developed method employing the formalism of the fractional derivatives to solve new classes of integral equations. This method uses different forms of integral operators that generalizes the…

Mathematical Physics · Physics 2010-07-30 D. Babusci , G. Dattoli , D. Sacchetti

The gauge-invariance properties and singularity elimination of the modified perturbation theory for QCD introduced in previous works, are investigated. The construction of the modified free propagators is generalized to include the…

High Energy Physics - Phenomenology · Physics 2009-01-07 Alejandro Cabo , Marcos Rigol

A review is given of recent research on two-dimensional gauge theories, with particular emphasis on the equivalence between these theories and certain string theories with a two-dimensional target space. Some related open problems are…

High Energy Physics - Theory · Physics 2007-05-23 D. J. Gross , W. Taylor

We construct a chiral gauge theory to describe fractionalization of fermions in graphene. Thereby we extend a recently proposed model, which relies on vortex formation. Our chiral gauge fields provide dynamics for the vortices and also…

Strongly Correlated Electrons · Physics 2009-11-13 R. Jackiw , S. -Y. Pi

One possibility for Beyond Standard Model physics is a new strongly-interacting gauge theory. One way to determine if a non-abelian gauge theory is QCD-like or conformal is to measure the running of the renormalized gauge coupling. We…

High Energy Physics - Lattice · Physics 2010-11-05 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder