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Related papers: $U(N)$ Yang-Mills in non-commutative space time

200 papers

We quantize super Yang-Mills action in $\mathcal{N}=3$ harmonic superspace using "Fermi-Feynman" gauge and also develop the background field formalism. This leads to simpler propagators and Feynman rules that are useful in performing…

High Energy Physics - Theory · Physics 2020-09-28 Dharmesh Jain , Chia-Yi Ju , Warren Siegel

A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between…

High Energy Physics - Theory · Physics 2008-02-03 A. Bassetto , D. Colferai , G. Nardelli

Yang-Mills theory has extended well beyond its original role in describing the strong force and now emerges as an effective theory in condensed matter, ultracold atomic, and photonic systems. In these systems, the theory has been successful…

Strongly Correlated Electrons · Physics 2026-04-15 Subramanya Bhat K. N. , Amita Das , V Ravishankar , Bhooshan Paradkar

The quantum effective action of non-minimal vector fields with Abelian or non-Abelian gauge degrees of freedom in curved spacetime is studied. The Proca or Yang-Mills fields are coupled to a local mass-like term acting in both coordinate…

High Energy Physics - Theory · Physics 2022-12-07 L. L. Salcedo

An equation for the quantum average of the gauge invariant Wilson loop in non-commutative Yang-Mills theory with gauge group U(N) is obtained. In the 't Hooft limit, the equation reduces to the loop equation of ordinary Yang-Mills theory.…

High Energy Physics - Theory · Physics 2009-10-31 Mohab Abou-Zeid , Harald Dorn

Based on the trace anomaly for the energy-momentum tensor, an effective theory for the thermodynamics of the deconfining phase, and by assuming the asymptotic behavior to be determined by one-loop perturbation theory we compute the…

High Energy Physics - Theory · Physics 2008-11-26 Francesco Giacosa , Ralf Hofmann

Lattice Yang-Mills theories at finite temperature can be mapped onto effective 3d spin systems, thus facilitating their numerical investigation. Using strong-coupling expansions we derive effective actions for Polyakov loops in the $SU(2)$…

High Energy Physics - Lattice · Physics 2011-03-31 Jens Langelage , Stefano Lottini , Owe Philipsen

We aim to connect the non commutative geometry ``quotient space'' viewpoint with the standard super Yang Mills theory approach in the spirit of Connes-Douglas-Schwartz and Douglas-Hull description of application of noncommutative geometry…

High Energy Physics - Theory · Physics 2009-10-31 Daniela Bigatti

We present an overview of a programme to understand the low-energy physics of quantum Yang-Mills theory from a quantum-information perspective. Our setting is that of the hamiltonian formulation of pure Yang-Mills theory in the temporal…

Quantum Physics · Physics 2020-06-11 Ashley Milsted , Tobias J. Osborne

Using the method of maximal cuts, we construct the complete D-dimensional integrand of the five-loop four-point amplitude of N = 4 super-Yang-Mills theory, including nonplanar contributions. In the critical dimension where this amplitude…

High Energy Physics - Theory · Physics 2015-03-20 Z. Bern , J. J. M. Carrasco , H. Johansson , R. Roiban

The Yang-Mills theory with noncommutative fields is constructed following Hamiltonian and lagrangean methods. This modification of the standard Yang-Mills theory shed light on the confinement mechanism viewed as a Lorentz invariance…

High Energy Physics - Theory · Physics 2009-11-11 H. Falomir , J. Gamboa , J. Lopez-Sarrion , F. Mendez , A. J. da Silva

A quantization procedure for the Yang-Mills equations for the Minkowski space $\mathbf{R}^{1,3}$ is carried out in such a way that field maps satisfying Wightman axioms of Constructive Quantum Field Theory can be obtained. Moreover, by…

General Mathematics · Mathematics 2024-03-28 Simone Farinelli

I reexamine the phenomena of the chromomagnetic gluon condensation in Yang-Mills theory. The extension of the Heisenberg-Euler Lagrangian to the Yang-Mills theory allows to calculate the effective action, the energy-momentum tensor and…

High Energy Physics - Theory · Physics 2020-03-18 George Savvidy

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 the behaviour of the two- and three-point thermal Green functions, to one loop order in noncommutative U(N) Yang-Mills theory, at temperatures $T$ much higher than the external momenta $p$. We evaluate the amplitudes for small and…

High Energy Physics - Theory · Physics 2009-11-07 F. T. Brandt , J. Frenkel , D. G. C. McKeon

We study five dimensional non critical type 0 string theory and its correspondence to non supersymmetric Yang Mills theory in four dimensions. We solve the equations of motion of the low energy effective action and identify a class of…

High Energy Physics - Theory · Physics 2009-10-31 Adi Armoni , Ehud Fuchs , Jacob Sonnenschein

In the low energy domain of four-dimensional SU(2) Yang-Mills theory the spin and the charge of the gauge field can become separated from each other. The ensuing field variables describe the interacting dynamics between a version of the…

High Energy Physics - Theory · Physics 2008-11-26 Ludvig D. Faddeev , Antti J. Niemi

We show that in the perturbative regime defined by the coupling constant, the theta-exact Seiberg-Witten map applied to noncommutative U(N) Yang-Mills --with or without Supersymmetry-- gives an ordinary gauge theory which is, at the quantum…

High Energy Physics - Theory · Physics 2016-10-12 Carmelo P. Martin , Josip Trampetic , Jiangyang You

The vacuum structure of N=2 (and N=4) SUSY Yang-Mills theory is analyzed in detail by considering the effective potential for constant background scalar- magnetic fields within different approximations. We compare the one-loop approximation…

High Energy Physics - Theory · Physics 2016-08-25 D. G. C. McKeon , I. Sachs , I. A. Shovkovy

The usual action of Yang-Mills theory is given by the quadratic form of curvatures of a principal G bundle defined on four dimensional manifolds. The non-linear generalization which is known as the Born-Infeld action has been given. In this…

High Energy Physics - Theory · Physics 2008-11-26 Kazuyuki Fujii , Hiroshi Oike , Tatsuo Suzuki