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In conformal $\mathcal{N}=2$ Super Yang-Mills theory, the energy emitted by an accelerated heavy particle is computed by the one-point function of the stress tensor operator in the presence of a Wilson line. In this paper, we consider the…

High Energy Physics - Theory · Physics 2020-01-29 Lorenzo Bianchi , Marco Billò , Francesco Galvagno , Alberto Lerda

The product of gauge fields generated by the Yang-Mills gradient flow for positive flow times does not exhibit the coincidence-point singularity and a local product is thus independent of the regularization. Such a local product can…

High Energy Physics - Lattice · Physics 2016-06-21 Hiroshi Suzuki

We study regular, static, spherically symmetric solutions of Yang-Mills theories employing higher order invariants of the field strength coupled to gravity in $d$ dimensions. We consider models with only two such invariants characterised by…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Breitenlohner , Dieter Maison , D. H. Tchrakian

We analyze a recent proposal to map a massless scalar field theory onto a Yang-Mills theory at classical level. It is seen that this mapping exists at a perturbative level when the expansion is a gradient expansion. In this limit the…

Mathematical Physics · Physics 2009-10-20 Marco Frasca

We review the application of bosonic string techniques to the calculation of renormalization constants and effective actions in Yang-Mills theory. We display the multiloop string formulas needed to compute Yang-Mills amplitudes, and we…

High Energy Physics - Theory · Physics 2009-10-30 Paolo Di Vecchia , Alberto Lerda , Lorenzo Magnea , Raffaele Marotta , Rodolfo Russo

It is known that a source-free Yang-Mills theory with the normal conformal Cartan connection used as the gauge potential gives rise to equations of motion equivalent to the vanishing of the Bach tensor. We investigate the conformally…

General Relativity and Quantum Cosmology · Physics 2023-08-01 Adam Bac , Wojciech Kamiński , Jerzy Lewandowski , Michalina Broda

We construct new regular solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by a pair of integers (k,n), where k is related to the polar angle and $n$ to the azimuthal…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Yasha Shnir

For a generic gauge-invariant correlator <{\cal Q}[A_{\mu}]>_{A}, we reformulate the standard D=4 Yang-Mills theory as a renormalizable system of two interacting fields a_{\mu} and B_{\mu} which faithfully represent high- and low-energy…

High Energy Physics - Theory · Physics 2007-06-28 A. Yu. Dubin

A gauge and diffeomorphism invariant theory in (2+1)-dimensions is presented in both first and second order Lagrangian form as well as in a Hamiltonian form. For gauge group $SO(1,2)$, the theory is shown to describe ordinary Einstein…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Peter Peldan

We give a new description of classical Yang-Mills theory by coupling a two-dimensional chiral CFT (which gives the tree-level S-matrix of Yang-Mills theory at genus zero) to a background non-abelian gauge field. The resulting model is…

High Energy Physics - Theory · Physics 2018-10-31 Tim Adamo , Eduardo Casali , Stefan Nekovar

The well-known Yang-Mills theory with one $ S^{1} / Z_{2}$ universal extra dimension (UED) is generalized to an arbitrary number of spatial extra dimensions through a novel compactification scheme. In this paper, the Riemannian flat based…

High Energy Physics - Theory · Physics 2015-02-04 M. A. López-Osorio , E. Martínez-Pascual , H. Novales-Sánchez , J. J. Toscano

The most general expressions of the stored energies for time-harmonic electromagnetic fields are derived from the time-domain Poynting theorem, and are valuable in characterizing the energy storage and transport properties of complex media.…

Classical Physics · Physics 2017-07-19 Wen Geyi

Ordinary-derivative (second-derivative) Lagrangian formulation of classical conformal Yang-Mills field in the (A)dS space of six, eight, and ten dimensions is developed. For such conformal field, we develop two gauge invariant Lagrangian…

High Energy Physics - Theory · Physics 2024-10-04 R. R. Metsaev

We prove that the renormalized Yang-Mills energy on six dimensional Poincar\'e-Einstein spaces can be expressed as the bulk integral of a local, pointwise conformally invariant integrand. We show that the latter agrees with the…

Differential Geometry · Mathematics 2024-09-12 A. R. Gover , E. Latini , A. Waldron , Y. Zhang

We discuss the quantum equivalence, to all orders of perturbation theory, between the Yang-Mills theory and its first order formulation through a second rank antisymmetric tensor field. Moreover, the introduction of an additional…

High Energy Physics - Theory · Physics 2010-02-05 F. Fucito , M. Martellini , S. P. Sorella , A. Tanzini , L. C. Q. Vilar , M. Zeni

Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised ("particle-like") solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Robert A. Bartnik , Mark Fisher , Todd A. Oliynyk

We present a conjecture for the normalisation of the twist two conformal partial waves in a double OPE limit of the four-point function of stress tensor multiplets in N = 4 super Yang-Mills theory up to three loops. This contains…

High Energy Physics - Theory · Physics 2012-07-18 Burkhard Eden

We investigate non-linear generalization of Maxwell theory of electromagnetic field keeping the gauge invariance of Lagrangian. New theory, which is standard Yang-Mills theory, is based on Harmonic Oscillator HO(4,R) gauge group. It's a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Arthur M. Aslanyan

Just recently, the class of all Einstein-Maxwell fields solving simultaneously also any higher-order modification of the Eintein-Maxwell theory has been completely identified. In the present work, we argue that, in view of our recent…

General Relativity and Quantum Cosmology · Physics 2020-01-14 Martin Kuchynka

Using the first order formalism (BFYM) of the Yang-Mills theory we show that it displays an embedded topological sector corresponding to the field content of the Topological Yang-Mills theory (TYM). This picture arises after a proper…

High Energy Physics - Theory · Physics 2009-10-31 A. Accardi , A. Belli , M. Martellini , M. Zeni