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In "The Yang-Mills equations over Riemann surfaces", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. We generalize their study to all closed, compact, connected, possibly…

Symplectic Geometry · Mathematics 2008-08-05 Nan-Kuo Ho , Chiu-Chu Melissa Liu

The dynamics of strongly interacting particles are governed by Yang-Mills (Y-M) theory, which is a natural generalization of Maxwell Electrodynamics (ED). Its quantized version is known as quantum chromodynamics (QCD) and has been very well…

Plasma Physics · Physics 2023-12-29 Subramanya Bhat K N , Amita Das , V Ravishankar , Bhooshan Paradkar

We give a comparison of the spectrum of Yang-Mills theory in $D=3+1$, recently derived with a strong coupling expansion, with lattice data. We verify excellent agreement also for 2$^{++}$ glueball. A deep analogy with the $D=2+1$ case is…

High Energy Physics - Theory · Physics 2007-06-28 Marco Frasca

In this talk we review, the quasiparticle description of the hot Yang-Mills theories, in which the quasiparticles propagate in (and interact with) a background field related to Z(N)-lines. We compare the present description with a more…

High Energy Physics - Phenomenology · Physics 2015-06-11 Marco Ruggieri , Paolo Alba , Paolo Castorina , Salvatore Plumari , Claudia Ratti , Vincenzo Greco

We study the Yang-Mills theory and quantum gravity at finite temperature, in the presence of Lagrange multiplier fields. These restrict the path integrals to field configurations which obey the classical equations of motion. This has the…

High Energy Physics - Theory · Physics 2023-04-24 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon , G. S. S. Sakoda

In this article we develop a worldline technique based on the method of images to study the effective action associated to Yang-Mills theories on manifolds with boundaries. We consider the possibility of having either relative or absolute…

High Energy Physics - Theory · Physics 2026-04-08 Santiago Christiansen Murguizur , Lucas Manzo , Pablo Pisani

In this work we focus on the quantum Einstein-Yang-Mills sector quantised by the methods of Loop Quantum Gravity (LQG). We point out the improved UV behaviour of the coupled system as compared to pure quantum Yang-Mills theory on a fixed,…

General Relativity and Quantum Cosmology · Physics 2016-07-29 Klaus Liegener , Thomas Thiemann

In this note we discuss the wave functional approach to the spectrum of pure Yang-Mills theory in 2+1 and 3+1 dimensions by highlighting the issues of dynamical mass generation and the role played by the kinetic term. We extrapolate our…

High Energy Physics - Theory · Physics 2008-01-09 Laurent Freidel , Robert G. Leigh , Djordje Minic , Alexandr Yelnikov

Perturbative Coulomb gauge Yang-Mills theory within the first order formalism is considered. Using a differential equation technique and dimensional regularization, analytic results for both the ultraviolet divergent and finite parts of the…

High Energy Physics - Theory · Physics 2008-11-26 Peter Watson , Hugo Reinhardt

We study SU($N_c$) Yang-Mills theory in $1+1$ dimensions at finite temperature on a spatial ring that rotates uniformly in a plane. We show that the effect of rotation results only in a simple kinematic enhancement of the gauge coupling…

High Energy Physics - Theory · Physics 2025-06-16 Maxim Chernodub

We study the four-dimensional Yang-Mills theory in the presence of a three-dimensional membrane of fermions by lattice Monte Carlo simulations. We analyze the phase structure of this theory at finite temperature. Below the phase transition…

High Energy Physics - Lattice · Physics 2011-01-13 Arata Yamamoto

The quantum fluctuations of the flux tube joining two static sources in the confining phase of a lattice gauge theory are described by an effective string theory. The predictions of the latter for ratios of Wilson loops of equal perimeter…

High Energy Physics - Lattice · Physics 2009-10-28 P. Provero

Numerical simulations of expanding plasma based on the AdS/CFT correspondence as well as kinetic theory and hydrodynamic models strongly suggest that some observables exhibit universal behaviour even when the system is not close to local…

High Energy Physics - Theory · Physics 2018-07-30 Michał Spaliński

We report on our recent results regarding numerical simulations of the four dimensional, N=1 Supersymmetric Yang-Mills theory with SU(3) gauge symmetry and light dynamical gluinos.

High Energy Physics - Lattice · Physics 2016-11-01 Sajid Ali , Georg Bergner , Henning Gerber , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

We give a brief overview of recent results obtained through the gauge/gravity correspondence, concerning the propagation of a heavy quark in strongly-coupled conformal field theories (such as N=4 super-Yang-Mills), both at zero and finite…

High Energy Physics - Theory · Physics 2012-09-24 Mariano Chernicoff , J. Antonio Garcia , Alberto Guijosa , Juan F. Pedraza

We present an exploratory numerical study on the lattice of the color structure of the wave functionals of the SU(3) Yang-Mills theory in the presence of a $q\bar q$ static pair. In a spatial box with periodic boundary conditions we discuss…

High Energy Physics - Lattice · Physics 2015-09-01 L. Giusti , A. L. Guerrieri , S. Petrarca , A. Rubeo , M. Testa

We express the heavy quark diffusion coefficient as the temporal variation of a Wilson line along the Schwinger-Keldysh contour. This generalizes the classical formula for diffusion as a force-force correlator to a non-abelian theory. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jorge Casalderrey-Solana , Derek Teaney

We report short-term memory formation in a nonlinear dynamical system with many degrees of freedom. The system ``remembers'' a sequence of impulses for a transient period, but it coarsens and eventually ``forgets'' nearly all of them. The…

In this work, we extend the construction of dual color decomposition in Yang-Mills theory to one-loop level, i.e., we show how to write one-loop integrands in Yang-Mills theory to the dual DDM-form and the dual trace-form. In dual forms,…

High Energy Physics - Theory · Physics 2015-06-18 Yi-Jian Du , Bo Feng , Chih-Hao Fu

The action of the Schwinger mechanism in pure Yang-Mills theories endows gluons with an effective mass, and, at the same time, induces a measurable displacement to the Ward identity satisfied by the three-gluon vertex. In the present work…

High Energy Physics - Phenomenology · Physics 2023-09-01 A. C. Aguilar , M . N. Ferreira , D. Ibañez , J. Papavassiliou