4,986 research outputs found
Hamiltonian lattice gauge models and the Heisenberg double
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
It it known that to get the usual Hamiltonian formulation of lattice
Yang-Mills theory in the temporal gauge 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
Thermonuclear burn-up in deuterated methane
The thermonuclear burn-up of highly compressed deuterated methane CD is
considered in the spherical geometry. The minimal required values of the
burn-up parameter are determined for various
temperatures and densities . It is shown that thermonuclear burn-up
in becomes possible in practice if its initial density exceeds
. Burn-up in CDT methane
requires significantly ( 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
Stationary strings near a higher-dimensional rotating black hole
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
Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
We compute the conformal anomaly of free d=6 superconformal (2,0) tensor
multiplet on generic curved background. Up to a trivial covariant
total-derivative term, it is given by the sum of the type A part proportional
to the 6-d Euler density, and the type B part containing three independent Weyl
invariants. Multiplied by factor 4N^3, the type B part of the anomaly
reproduces exactly the corresponding part of the conformal anomaly of large N
multiple M5-brane (2,0) theory as predicted (hep-th/9806087) by the AdS/CFT
correspondence. The coefficients of the type A anomaly differ by the factor 4/7
x 4 N^3, so that the free tensor multiplet anomaly does not vanish on a
Ricci-flat background. The coefficient 4N^3 is the same as found
(hep-th/9703040) in the comparison of the tensor multiplet theory and the d=11
supergravity results for the absorption cross-sections of gravitons by M5
branes, and in the comparison (hep-th/9911135) of 2- and 3-point stress tensor
correlators of the free tensor multiplet with the AdS_7 supergravity
predictions. The reason for this coincidence is that the three Weyl-invariant
terms in the anomaly are related to the and terms in the near flat
space expansion of the corresponding non-local effective action, and thus to
the 2-point and 3-point stress tensor correlators in flat background. At the
same time, the type A anomaly is related to the term in the non-local
part of the effective action, i.e. to a certain structure in the 4-point
correlation function of stress tensors.Comment: 20 pages, latex. v2: minor corrections, references adde
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