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It has been shown that the canonical structure of the first order Einstein-Hilbert (1EH) action involves three generations of constraints and that these can be used to find the generator of a gauge transformation which leaves the action…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Farrukh Chishtie , D. G. C. McKeon

A class of new nonabelian gauge theories for vector fields on three manifolds is presented. The theories describe a generalization of three-dimensional Yang-Mills theory featuring a novel nonlinear gauge symmetry and field equations for…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco

We study in detail gaugino condensation in globally and locally supersymmetric Yang-Mills theories. We focus on models for which gauge-neutral matter couples to the gauge bosons only through nonminimal gauge kinetic terms, for the cases of…

High Energy Physics - Theory · Physics 2009-10-28 C. P. Burgess , J. -P. Derendinger , F. Quevedo , M. Quiros

We provide the reformulations of Yang-Mills theories in terms of gauge invariant metric-like variables in three and four dimensions. The reformulations are used to analyze the dimension two gluon condensate and give gauge invariant…

High Energy Physics - Theory · Physics 2016-02-01 Zhi-Qiang Guo

The Dyson-Schwinger equation for the ghost-gluon vertex of the Hamiltonian approach to Yang-Mills theory in Coulomb gauge is solved at one-loop level using as input the non-perturbative ghost and gluon propagators previously determined…

High Energy Physics - Theory · Physics 2015-06-03 Davide R. Campagnari , Hugo Reinhardt

The Cho-Faddeev-Niemi-Shabanov decomposition of the SU(2) Yang-Mills field is employed for the calculation of the corresponding Wilsonian effective action to one-loop order with covariant gauge fixing. The generation of a mass scale is…

High Energy Physics - Theory · Physics 2009-11-07 Holger Gies

We present a particularly nice D-dimensional graph-based representation of the full color-dressed five-point tree-level gluon amplitude. It possesses the following virtues: 1) it satisfies the color-kinematic correspondence, and thus…

High Energy Physics - Theory · Physics 2011-10-12 Johannes Broedel , John Joseph M. Carrasco

We use the Yang-Mills gradient flow to study the mixing of CP-violating pure gauge operators in continuum QCD with special attention to Weinberg's d=6 purely gluonic operator. The gradient flow allows for a relatively clear derivation of…

High Energy Physics - Lattice · Physics 2018-11-07 Matthew Rizik , Christopher Monahan , Andrea Shindler

We present results for the propagators and the ghost-gluon vertex of Landau gauge Yang-Mills theory obtained from Dyson-Schwinger equations. Solving these three quantities simultaneously constitutes a new step in truncating these equations.…

High Energy Physics - Theory · Physics 2013-01-15 Markus Q. Huber , Lorenz von Smekal

This article reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally…

High Energy Physics - Theory · Physics 2015-05-27 Tim Adamo , Mathew Bullimore , Lionel Mason , David Skinner

We consider a lattice action which forbids large fields, and which remains invariant under smooth deformations of the field. Such a "topological" action depends on one parameter, the field cutoff, but does not have a classical continuum…

High Energy Physics - Lattice · Physics 2016-05-24 Oscar Akerlund , Philippe de Forcrand

We write the recently conjectured action for transformation of the ordinary Born-Infeld action under the Seiberg-Witten map with one open Wilson contour in a manifestly non-commutative gauge invariant form. This action contains the…

High Energy Physics - Theory · Physics 2009-11-07 Mohammad R. Garousi

We study several types of tree-level improvement in the Yang-Mills gradient flow method in order to reduce the lattice discretization errors in line with Fodor et al. [arXiv:1406.0827]. The tree-level $\mathcal{O}(a^2)$ improvement can be…

High Energy Physics - Lattice · Physics 2017-03-15 Norihiko Kamata , Shoichi Sasaki

Using Lorentz covariant spinor helicity formalism we reorganize the unitary scalar superfield light-cone path integral for the N=4 supersymmetric Yang-Mills theory. In new variables in the chiral Fourier superspace the quadratic and cubic…

High Energy Physics - Theory · Physics 2010-12-24 Chih-Hao Fu , Renata Kallosh

A semi-perturbative calculation of the ghost-gluon vertex in Landau gauge Yang-Mills theory in four and three Euclidean space-time dimensions is presented. Non-perturbative gluon and ghost propagators are employed, which have previously…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wolfgang Schleifenbaum , Axel Maas , Jochen Wambach , Reinhard Alkofer

We calculate the one-loop effective action of the SU(2) Yang-Mills theory for center-vortex configurations, both in 3d and 4d. We find that in both cases there are minima of the effective action, corresponding to vortices of the transverse…

High Energy Physics - Lattice · Physics 2009-11-07 Dmitri Diakonov , Martin Maul

We study dynamical mass generation in pure Yang-Mills theory and report on a recently developed ansatz that exactly solves the tower of Dyson-Schwinger equations in Landau gauge at low Euclidean momentum, featuring enhanced gluon-gluon…

Green's functions are a central element in the attempt to understand non-perturbative phenomena in Yang-Mills theory. Besides the propagators, 3-point Green's functions play a significant role, since they permit access to the running…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri , Axel Maas , Tereza Mendes

We consider the classical field theory of 2+1-dimensional Yang-Mills-Chern-Simons theory on an arbitrary spatial manifold. We first define a gauge covariant transverse electric field strength, which together with the gauge covariant scalar…

High Energy Physics - Theory · Physics 2024-08-27 Måns Henningson

We study celestial amplitudes in (super) Yang-Mills theory using a parameterisation of the spinor helicity variables where their overall phase is not fixed by the little group action. In this approach the spin constraint $h-\bar{h}=J$ for…

High Energy Physics - Theory · Physics 2021-10-26 Andreas Brandhuber , Graham R. Brown , Joshua Gowdy , Bill Spence , Gabriele Travaglini