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Arxiv.org
by Alina Czajka; Stanislaw Mrowczynski
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The N=4 super Yang-Mills plasma is studied in the regime of weak coupling. Collective excitations and collisional processes are discussed. Since the Keldysh-Schwinger approach is used, the collective excitations in both equilibrium and non-equilibrium plasma are under consideration. The dispersion equations of gluon, fermion, and scalar modes are written down and the self-energies, which enter the equations, are computed in the Hard Loop Approximation. The self-energies are discussed in the...
Source: http://arxiv.org/abs/1203.1856v3
Arxiv.org
by Michikazu Kobayashi; Muneto Nitta
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We present a direct connection between torus knots and Hopfions by finding stable and static solutions of the extended Faddeev-Skyrme model with a ferromagnetic potential term. (P,Q)--torus knots consisting of |Q| sine-Gordon kink strings twisted P/Q times into the poloidal cycle along the toroidal cycle on a toroidal domain wall carry the Hopf charge PQ, which demonstrates that Hopfions can be further classified according to torus knot type.
Source: http://arxiv.org/abs/1304.6021v1
Arxiv.org
by Mario Bessa; Celia Ferreira; Jorge Rocha
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In this paper we contribute to the generic theory of Hamiltonians by proving that there is a C2-residual R in the set of C2 Hamiltonians on a closed symplectic manifold M, such that, for any H in R, there is an open and dense set S(H) in H(M) such that, for every e in S(H), the Hamiltonian level (H,e) is topologically mixing.
Source: http://arxiv.org/abs/1203.3849v1