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We evaluate the thermodynamic quantities of Yang-Mills theory using the Gribov quantization, which deals with nonperturbative resummation. The magnetic scale is automatically incorporated into the framework and we find it efficient to…

High Energy Physics - Phenomenology · Physics 2013-10-22 Kenji Fukushima , Nan Su

We discuss the concept of gauge-invariant fields for non-abelian gauge theories. Infinitesimal fluctuations around a given gauge field can be split into physical and gauge fluctuations. Starting from some reference field the gauge-invariant…

High Energy Physics - Theory · Physics 2018-08-15 C. Wetterich

We introduce and study a new class of power-counting non-renormalisable gauge theories in four space-time dimensions. The Lagrangian is an arbitrary function of the self-dual part of the field strength. The resulting perturbation theory has…

High Energy Physics - Theory · Physics 2015-09-23 Marco Cofano , Chih-Hao Fu , Kirill Krasnov

Spacetime geometries dual to arbitrary fluid flows in strongly coupled N=4 super Yang Mills theory have recently been constructed perturbatively in the long wavelength limit. We demonstrate that these geometries all have regular event…

The energy-momentum tensor of Matrix Theory is derived by computing disk amplitudes with one closed string and an arbitrary number of open strings and by taking the DKPS limit. We clarify its relation to the energy-momentum tensor of the…

High Energy Physics - Theory · Physics 2007-05-23 Yuji Okawa , Hirosi Ooguri

In Yang-Mills theory, the cumulants of the na\"ive lattice discretization of the topological charge evolved with the Yang-Mills gradient flow coincide, in the continuum limit, with those of the universal definition. We sketch in these…

High Energy Physics - Lattice · Physics 2018-11-26 Marco Cè

Yang-Mills fields are an important part of the non-Abelian space theory describing the properties of quark-gluon plasma. The dynamics of the classical fields are given by the Hamiltonian equations of motion, which contain the member of the…

Chaotic Dynamics · Physics 2022-01-19 Agnes Fulop

A non-perturbative quantization of the Yang-Mills energy-mass functional with a compact semi-simple gauge group entails an infinite discrete energy-mass spectrum of gauge bosons. The bosonic spectrum is bounded from below, and has a…

Mathematical Physics · Physics 2012-01-20 Alexander Dynin

Physical quantities in gauge theories have to be gauge-independent. However their evaluation can be greatly simplified by working in particular gauges. Since physical quantities have to be gauge invariant, it is important to establish an…

High Energy Physics - Phenomenology · Physics 2015-09-15 Andrea Quadri

Exact renormalization group techniques are applied to mass deformed N=4 supersymmetric Yang-Mills theory, viewed as a regularised N=2 model. The solution of the flow equation, in the local potential approximation, reproduces the one-loop…

High Energy Physics - Theory · Physics 2008-11-26 S. Arnone , D. Francia , K. Yoshida

Nonperturbative determinations of the renormalization group $\beta$ function are essential to connect lattice results to perturbative predictions of strongly coupled gauge theories and to determine the $\Lambda$ parameter or the strong…

High Energy Physics - Lattice · Physics 2023-07-13 Anna Hasenfratz , Curtis Taylor Peterson , Jake van Sickle , Oliver Witzel

We generalize the gradient flow equation for field theories with nonlinearly realized symmetry. Applying the formalism to super Yang-Mills theory, we construct a supersymmetric extension of the gradient flow equation. It can be shown that…

High Energy Physics - Theory · Physics 2015-06-22 Kengo Kikuchi , Tetsuya Onogi

In this paper we evaluate the self-energy of the vector mesons at one loop in our recently proposed subtraction scheme for massive nonlinearly realized SU(2) Yang-Mills theory. We check the fulfillment of physical unitarity. The resulting…

High Energy Physics - Theory · Physics 2012-05-24 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

The study of renormalization of Yang-Mills fields in the light-front gauge has always been a delicate subject in that divergent {\em non-local} terms arise from the calculations of Feynman diagrams. In this short paper we show that this…

High Energy Physics - Theory · Physics 2011-05-26 Alfredo Takashi Suzuki

The question of a modification of the running gauge coupling of (non-) abelian gauge theories by an incorporation of the quantum gravity contribution has recently attracted considerable interest. In this letter we perform an involved…

High Energy Physics - Theory · Physics 2008-11-26 Dietmar Ebert , Jan Plefka , Andreas Rodigast

This is the second part in a four-paper sequence, which establishes the Threshold Conjecture and the Soliton Bubbling vs.~Scattering Dichotomy for the hyperbolic Yang--Mills equation in the $(4+1)$-dimensional space-time. This paper…

Analysis of PDEs · Mathematics 2021-03-31 Sung-Jin Oh , Daniel Tataru

The dynamical mass generation for gluons is discussed in Euclidean Yang-Mills theories supplemented with a renormalizable mass term. The mass parameter is not free, being determined in a self-consistent way through a gap equation which…

High Energy Physics - Theory · Physics 2015-06-26 S. P. Sorella

A four dimensional generally covariant modified Yang-Mills action, which depends on the lorentzian complex structure of spacetime and not its metric, is presented. The extended Weyl symmetry, implied by the effective metric independence,…

High Energy Physics - Theory · Physics 2012-03-30 C. N. Ragiadakos

This work presents preliminary results of the first determination of the energy-momentum tensor form factors of the scalar glueball, referred to as gravitational form factors (GFFs). The calculation has been carried out in lattice…

High Energy Physics - Lattice · Physics 2025-02-04 Ryan Abbott , Daniel C. Hackett , Dimitra A. Pefkou , Fernando Romero-López , Phiala Shanahan

The dynamical mass generation for gluons is discussed in Euclidean Yang-Mills theories supplemented with a renormalizable mass term. The mass parameter is not free, being determined in a self-consistent way through a gap equation which…

High Energy Physics - Theory · Physics 2008-11-26 S. P. Sorella