The Experts below are selected from a list of 312 Experts worldwide ranked by ideXlab platform
Satoshi Yamada - One of the best experts on this subject based on the ideXlab platform.
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From supermembrane to super-Yang–Mills Theory
Nuclear Physics, 2004Co-Authors: Shozo Uehara, Satoshi YamadaAbstract:Abstract We derive ( p + 1 ) -dimensional ( p = 1 , 2) maximally supersymmetric U ( N ) Yang–Mills Theory from the wrapped supermembrane on R 11 − p × T p in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super-Yang–Mills Theory are given by the Fourier coefficients in the supermembrane Theory. Although our approach never refers to both D-branes and superstring dualities, we obtain the relations which exactly represent T-duality.
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From supermembrane to super-Yang–Mills Theory
Nuclear Physics B, 2004Co-Authors: Shozo Uehara, Satoshi YamadaAbstract:We derive p+1-dimensional (p=1,2) maximally supersymmetric U(N) Yang-Mills Theory from the wrapped supermembrane on $R^{11-p}\times T^{p}$ in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super Yang-Mills Theory are given by the Fourier coefficients in the supermembrane Theory. Although our approach never refers to both D-branes and superstring dualities, we obtain the relations which exactly represent T-duality.Comment: 18 pages, typos corrected, to appear in Nucl. Phys.
Alexander N. Manashov - One of the best experts on this subject based on the ideXlab platform.
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Quantum integrability in (super) Yang-Mills Theory on the light-cone
Physics Letters B, 2004Co-Authors: Andrei Belitsky, Sergey E. Derkachov, Gregory P. Korchemsky, Alexander N. ManashovAbstract:Abstract We employ the light-cone formalism to construct in the (super) Yang–Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N =4 Yang–Mills Theory it exhausts all Wilson operators of the maximal Lorentz spin while in nonsupersymmetric Yang–Mills Theory it is restricted to the sector of maximal helicity gluonic operators. We show that the dilatation operator in all N -extended super-Yang–Mills theories is given by the same integral operator which acts on the ( N +1) -dimensional superspace and is invariant under the SL(2| N ) superconformal transformations. We construct the R -matrix on this space and identify the dilatation operator as the Hamiltonian of the Heisenberg SL(2| N ) spin chain.
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Quantum integrability in (super) Yang–Mills Theory on the light-cone
Physics Letters B, 2004Co-Authors: Andrei Belitsky, Sergey E. Derkachov, Gregory P. Korchemsky, Alexander N. ManashovAbstract:We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N=4 Yang-Mills Theory it exhausts all Wilson operators of the maximal Lorentz spin while in nonsupersymmetric Yang-Mills Theory it is restricted to the sector of maximal helicity gluonic operators. We show that the dilatation operator in all N-extended super Yang-Mills theories is given by the same integral operator which acts on the (N+1)-dimensional superspace and is invariant under the SL(2|N) superconformal transformations. We construct the R-matrix on this space and identify the dilatation operator as the Hamiltonian of the Heisenberg SL(2|N) spin chain.Comment: 18 pages, 1 figure; replaced with correct revised versio
Ashley Milsted - One of the best experts on this subject based on the ideXlab platform.
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quantum yang mills Theory an overview of a program
Physical Review D, 2018Co-Authors: Ashley Milsted, Tobias J OsborneAbstract:We present an overview of a program 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 gauge on the lattice. Firstly, inspired by recent constructions for $\mathbb{Z}/2\mathbb{Z}$ lattice gauge Theory, in particular, Kitaev's toric code, we describe the gauge-invariant sector of Hilbert space by introducing a primitive quantum gate: the quantum parallel transporter. We then develop a non-Abelian generalization of Laplace interpolation to present an ansatz for the ground state of pure Yang-Mills Theory which interpolates between the weak- and strong-coupling renormalization group fixed points. The resulting state acquires the structure of a tensor network, namely, a multiscale entanglement renormalization ansatz, and allows for the efficient computation of local observables and Wilson loops. Various refinements of the tensor network are discussed leading to several generalizations. Finally, the continuum limit of our ansatz as the lattice regulator is removed is then described. This paper is intended as an abstract for an ongoing program: there are still many open problems.
Axel Maas - One of the best experts on this subject based on the ideXlab platform.
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Topological aspects of G 2 Yang-Mills Theory
Physical Review D, 2012Co-Authors: Ernst-michael Ilgenfritz, Axel MaasAbstract:Yang-Mills Theory and QCD are well defined for any Lie group as gauge group. The choice ${\mathrm{G}}_{2}$ is of great interest, as it is the smallest group with trivial center and being at the same time accessible to simulations. This Theory has been found to have many properties in common with SU(3) Yang-Mills Theory and QCD, permitting us to study the role of the center. Herein, these investigations are extended to topological properties of ${\mathrm{G}}_{2}$ Yang-Mills Theory. After giving the instanton construction for ${\mathrm{G}}_{2}$, topological lumps with instanton topological charge are identified in cooled lattice configurations. The corresponding topological susceptibility is determined in the vacuum and at low and high temperatures, showing a significant response to the phase structure of the Theory.
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A first look at Landau-gauge propagators in G2 Yang-Mills Theory
Journal of High Energy Physics, 2008Co-Authors: Axel Maas, Stefan OlejnikAbstract:G_2 Yang--Mills Theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other hand, its thermodynamic properties are similar to ordinary SU(N) Yang--Mills Theory. Finally, it has been conjectured that gluons are removed from the physical spectrum in the same way as in SU(N) Yang--Mills Theory. The last claim will be explored by determining the Landau-gauge ghost and gluon propagators, as well as the Faddeev--Popov operator eigenspectrum, in G_2 lattice gauge Theory in two and three dimensions. The results are found to agree qualitatively with the SU(2) and SU(3) case. Therefore, the conjecture that Yang--Mills theories with different gauge groups are qualitatively similar on the level of their Landau gauge Green's functions is supported.
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High-temperature limit of Landau-gauge Yang-Mills Theory
The European Physical Journal C, 2004Co-Authors: Axel Maas, Jochen Wambach, Burghard Gruter, Reinhard AlkoferAbstract:The infrared properties of the high-temperature limit of Landau-gauge Yang-Mills Theory are investigated. In a first step the high-temperature limit of the Dyson-Schwinger equations is taken. The resulting equations are identical to the Dyson-Schwinger equations of the dimensionally reduced Theory, a three-dimensional Yang-Mills Theory coupled to an effective adjoint Higgs field. These equations are solved analytically in the infrared and ultraviolet, and numerically for all Euclidean momenta. We find infrared enhancement for the Faddeev-Popov ghosts, infrared suppression for transverse gluons and a mass for the Higgs. These results imply long-range interactions and over-screening in the chromomagnetic sector of high-temperature Yang-Mills Theory while in the chromoelectric sector only screening is observed.
Shozo Uehara - One of the best experts on this subject based on the ideXlab platform.
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From supermembrane to super-Yang–Mills Theory
Nuclear Physics, 2004Co-Authors: Shozo Uehara, Satoshi YamadaAbstract:Abstract We derive ( p + 1 ) -dimensional ( p = 1 , 2) maximally supersymmetric U ( N ) Yang–Mills Theory from the wrapped supermembrane on R 11 − p × T p in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super-Yang–Mills Theory are given by the Fourier coefficients in the supermembrane Theory. Although our approach never refers to both D-branes and superstring dualities, we obtain the relations which exactly represent T-duality.
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From supermembrane to super-Yang–Mills Theory
Nuclear Physics B, 2004Co-Authors: Shozo Uehara, Satoshi YamadaAbstract:We derive p+1-dimensional (p=1,2) maximally supersymmetric U(N) Yang-Mills Theory from the wrapped supermembrane on $R^{11-p}\times T^{p}$ in the light-cone gauge by using the matrix regularization. The elements of the matrices in the super Yang-Mills Theory are given by the Fourier coefficients in the supermembrane Theory. Although our approach never refers to both D-branes and superstring dualities, we obtain the relations which exactly represent T-duality.Comment: 18 pages, typos corrected, to appear in Nucl. Phys.
