5,868 research outputs found

    Hamiltonian lattice gauge models and the Heisenberg double

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    Hamiltonian lattice gauge models based on the assignment of the Heisenberg double of a Lie group to each link of the lattice are constructed in arbitrary space-time dimensions. It is shown that the corresponding generalization of the gauge-invariant Wilson line observables requires to attach to each vertex of the line a vertex operator which goes to the unity in the continuum limit.Comment: 10 pages, latex, no figure

    Gauge-invariant Hamiltonian formulation of lattice Yang-Mills theory and the Heisenberg double

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    It it known that to get the usual Hamiltonian formulation of lattice Yang-Mills theory in the temporal gauge A0=0A_{0}=0 one should place on every link the cotangent bundle of a Lie group. The cotangent bundle may be considered as a limiting case of a so called Heisenberg double of a Lie group which is one of the basic objects in the theory of Lie-Poisson and quantum groups. It is shown in the paper that there is a generalization of the usual Hamiltonian formulation to the case of the Heisenberg double.Comment: 11 pages, latex, no figure

    Stationary strings near a higher-dimensional rotating black hole

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    We study stationary string configurations in a space-time of a higher-dimensional rotating black hole. We demonstrate that the Nambu-Goto equations for a stationary string in the 5D Myers-Perry metric allow a separation of variables. We present these equations in the first-order form and study their properties. We prove that the only stationary string configuration which crosses the infinite red-shift surface and remains regular there is a principal Killing string. A worldsheet of such a string is generated by a principal null geodesic and a timelike at infinity Killing vector field. We obtain principal Killing string solutions in the Myers-Perry metrics with an arbitrary number of dimensions. It is shown that due to the interaction of a string with a rotating black hole there is an angular momentum transfer from the black hole to the string. We calculate the rate of this transfer in a spacetime with an arbitrary number of dimensions. This effect slows down the rotation of the black hole. We discuss possible final stationary configurations of a rotating black hole interacting with a string.Comment: 13 pages, contains additianal material at the end of Section 8, also small misprints are correcte

    Scalar Quartic Effective Action on AdS5AdS_5

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    We review the recent results concerning the computation of cubic and quartic couplings of scalar fields in type IIB supergravity on AdS_5\times S^5 background that are dual to (extended) chiral primary operators in N=4 SYM_4. We discuss the vanishing of certain cubic and quartic couplings and non-renormalization property of corresponding correlators in the conformal field theoryComment: 6 pages, Latex, JHEP style; based on the talk by G. Arutyunov at the TMR Meeting "Quantum Aspects of Gauge Theories, Supersymmetry and Unification" held in Paris, September 199

    Integrable Hamiltonian for Classical Strings on AdS_5 x S^5

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    We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS_5 x S^5 space-time. The Hamiltonian is obtained in a so-called uniform gauge which is related to the static gauge by a 2d duality transformation. The Hamiltonian is of the Nambu type and depends on two parameters: a single S^5 angular momentum J and the string tension \lambda. In the general case both parameters can be finite. The space of string states consists of short and long strings. In the sector of short strings the large J expansion with \lambda'=\lambda/J^2 fixed recovers the plane-wave Hamiltonian and higher-order corrections recently studied in the literature. In the strong coupling limit \lambda\to \infty, J fixed, the energy of short strings scales as \sqrt[4]{\lambda} while the energy of long strings scales as \sqrt{\lambda}. We further show that the gauge-fixed Hamiltonian is integrable by constructing the corresponding Lax representation. We discuss some general properties of the monodromy matrix, and verify that the asymptotic behavior of the quasi-momentum perfectly agrees with the one obtained earlier for some specific cases.Comment: 30 pages, LaTex; v2: a few comments added, misprints corrected, references adde

    A note on gravity-scalar fluctuations in holographic RG flow geometries

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    We study five-dimensional gravity models with non-vanishing background scalar fields which are dual to non-conformal boundary field theories. We develop a procedure to decouple the graviton fluctuations from the scalar ones and apply it to the simplest case of one scalar field. The quadratic action for the decoupled scalar fluctuations has a very simple form and can be used to compute two-point functions. We perform this computation for the two examples of background RG flow recently considered by DeWolfe and Freedman and find physically reasonable results.Comment: 13 pages, latex, no figure

    Thermonuclear burn-up in deuterated methane CD4CD_4

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    The thermonuclear burn-up of highly compressed deuterated methane CD4_4 is considered in the spherical geometry. The minimal required values of the burn-up parameter x=ρ0rfx = \rho_0 \cdot r_f are determined for various temperatures TT and densities ρ0\rho_0. It is shown that thermonuclear burn-up in CD4CD_4 becomes possible in practice if its initial density ρ0\rho_0 exceeds 5103\approx 5 \cdot 10^3 gcm3g \cdot cm^{-3}. Burn-up in CD2_2T2_2 methane requires significantly (\approx 100 times) lower compressions. The developed approach can be used in order to compute the critical burn-up parameters in an arbitrary deuterium containing fuel

    Scattering of Straight Cosmic Strings by Black Holes: Weak Field Approximation

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    The scattering of a straight, infinitely long string moving with velocity vv by a black hole is considered. We analyze the weak-field case, where the impact parameter (bimpb_{imp}) is large, and obtain exact solutions to the equations of motion. As a result of scattering, the string is displaced in the direction perpendicular to the velocity by an amount Δb2πGMvγ/c3π(GM)2/(4c3vbimp)\Delta b\sim -2\pi GMv\gamma/c^3 -\pi (GM)^2/ (4c^3 v b_{imp}), where γ=(1(v/c)2)1/2\gamma=(1-(v/c)^2)^{-1/2}. The second term dominates at low velocities v/c<(GM/bimp)1/2v/c<(GM/b_{imp})^{1/2} . The late-time solution is represented by a kink and anti-kink, propagating in opposite directions at the speed of light, and leaving behind them the string in a new ``phase''. The solutions are applied to the problem of string capture, and are compared to numerical results.Comment: 19 pages, 5 figure
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