1,179 research outputs found
Infra-Red Finite Charge Propagation
The Coulomb gauge has a long history and many uses. It is especially useful
in bound state applications. An important feature of this gauge is that the
matter fields have an infra-red finite propagator in an on-shell
renormalisation scheme. This is, however, only the case if the renormalisation
point is chosen to be the static point on the mass shell, p = (m, 0, 0, 0). In
this letter we show how to extend this key property of the Coulomb gauge to an
arbitrary relativistic renormalisation point. This is achieved through the
introduction of a new class of gauges of which the Coulomb gauge is a limiting
case. A physical explanation for this result is given.Comment: 8 pages, plain TeX, to appear in Modern Physics Letters
Spectra and Eigenspaces of Arbitrary Lifts of Graphs
We describe, in a very explicit way, a method for determining the spectra and bases of all the corresponding eigenspaces of arbitrary lifts of graphs (regular or not)
A complete characterization of plateaued Boolean functions in terms of their Cayley graphs
In this paper we find a complete characterization of plateaued Boolean
functions in terms of the associated Cayley graphs. Precisely, we show that a
Boolean function is -plateaued (of weight ) if and only
if the associated Cayley graph is a complete bipartite graph between the
support of and its complement (hence the graph is strongly regular of
parameters ). Moreover, a Boolean function is
-plateaued (of weight ) if and only if the associated
Cayley graph is strongly -walk-regular (and also strongly
-walk-regular, for all odd ) with some explicitly given
parameters.Comment: 7 pages, 1 figure, Proceedings of Africacrypt 201
On the integrability of Wilson loops in AdS_5 x S^5: Some periodic ansatze
Wilson loops are calculated within the AdS/CFT correspondence by finding a
classical solution to the string equations of motion in AdS_5 x S^5 and
evaluating its action. An important fact is that this sigma-model used to
evaluate the Wilson loops is integrable, a feature that has gained relevance
through the study of spinning strings carrying large quantum numbers and
spin-chains. We apply the same techniques used to solve the equations for
spinning strings to find the minimal surfaces describing a wide class of Wilson
loops. We focus on different cases with periodic boundary conditions on the
AdS_5 and S^5 factors and find a rich array of solutions. We examine the
different phases that appear in the problem and comment on the applicability of
integrability to the general problem.Comment: LaTex, 49 pages, 8 figure
Supersymmetric Godel-type Universe in four Dimensions
We generalize the classification of all supersymmetric solutions of pure N=2,
D=4 gauged supergravity to the case when external sources are included. It is
shown that the source must be an electrically charged dust. We give a
particular solution to the resulting equations, that describes a Goedel-type
universe preserving one quarter of the supersymmetries.Comment: 6 pages, Latex. v2: references and footnote added. v3: introduction
expanded, minor corrections, references added. Final versio
Flavor from M5-branes
We study various aspects of the defect conformal field theory that arises
when placing a single M5-brane probe in AdS_4 x S^7. We derive the full set of
fluctuation modes and dimensions of the corresponding dual operators. We argue
that the latter does not depend on the presence of a non-trivial magnetic flux
on the M5-brane world-volume. Finally we give a mass to the hypermultiplet
living on the defect, and compute the resulting mesonic spectrum.Comment: 19 page
Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
In this work (which supersedes our previous preprint arXiv:1112.2345) we
determine the expectation value of the N=4$ SU(N) SYM Lagrangian density
operator in the presence of an infinitely heavy static particle in the
symmetric representation of SU(N), by means of a D3-brane probe computation.
The result that we obtain coincides with two previous computations of different
observables, up to kinematical factors. We argue that these agreements go
beyond the D-brane probe approximation, which leads us to propose an exact
formula for the expectation value of various operators. In particular, we
provide an expression for the total energy loss by radiation of a heavy
particle in the fundamental representation.Comment: 14 pages. This submission supersedes our previous preprint
arXiv:1112.2345. v2: numerical factors fixed, minor clarifications, added
reference
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