670 research outputs found
Jet evolution from weak to strong coupling
Recent studies, using the AdS/CFT correspondence, of the radiation produced
by a decaying system or by an accelerated charge in the N=4 supersymmetric
Yang-Mills theory, led to a striking result: the 'supergravity backreaction',
which is supposed to describe the energy density at infinitely strong coupling,
yields exactly the same result as at zero coupling, that is, it shows no trace
of quantum broadening. We argue that this is not a real property of the
radiation at strong coupling, but an artifact of the backreaction calculation,
which is unable to faithfully capture the space-time distribution of the
radiation. This becomes obvious in the case of a decaying system ('virtual
photon'), for which the backreaction is tantamount to computing a three-point
function in the conformal gauge theory, which is independent of the coupling
since protected by symmetries. Whereas this non-renormalization property is
specific to the conformal N=4 SYM theory, we argue that the failure of the
three-point function to provide a local measurement is in fact generic: it
holds in any field theory with non-trivial interactions. To properly study a
localized distribution, one should rather compute a four-point function, as
standard in deep inelastic scattering. We substantiate these considerations
with studies of the radiation produced by the decay of a time-like photon at
both weak and strong coupling. We show that by computing four-point functions,
in perturbation theory at weak coupling and, respectively, from Witten diagrams
at strong coupling, one can follow the quantum evolution and thus demonstrate
the broadening of the energy distribution. This broadening is slow when the
coupling is weak but it proceeds as fast as possible in the limit of a strong
coupling.Comment: 49 pages, 6 figure
JIMWLK evolution in the Gaussian approximation
We demonstrate that the Balitsky-JIMWLK equations describing the high-energy
evolution of the n-point functions of the Wilson lines (the QCD scattering
amplitudes in the eikonal approximation) admit a controlled mean field
approximation of the Gaussian type, for any value of the number of colors Nc.
This approximation is strictly correct in the weak scattering regime at
relatively large transverse momenta, where it reproduces the BFKL dynamics, and
in the strong scattering regime deeply at saturation, where it properly
describes the evolution of the scattering amplitudes towards the respective
black disk limits. The approximation scheme is fully specified by giving the
2-point function (the S-matrix for a color dipole), which in turn can be
related to the solution to the Balitsky-Kovchegov equation, including at finite
Nc. Any higher n-point function with n greater than or equal to 4 can be
computed in terms of the dipole S-matrix by solving a closed system of
evolution equations (a simplified version of the respective Balitsky-JIMWLK
equations) which are local in the transverse coordinates. For simple
configurations of the projectile in the transverse plane, our new results for
the 4-point and the 6-point functions coincide with the high-energy
extrapolations of the respective results in the McLerran-Venugopalan model. One
cornerstone of our construction is a symmetry property of the JIMWLK evolution,
that we notice here for the first time: the fact that, with increasing energy,
a hadron is expanding its longitudinal support symmetrically around the
light-cone. This corresponds to invariance under time reversal for the
scattering amplitudes.Comment: v2: 45 pages, 4 figures, various corrections, section 4.4 updated, to
appear in JHE
Resumming large higher-order corrections in non-linear QCD evolution
Linear and non-linear QCD evolutions at high energy suffer from severe issues
related to convergence, due to higher order corrections enhanced by large
double and single transverse logarithms. We resum double logarithms to all
orders by taking into account successive soft gluon emissions strongly ordered
in lifetime. We further resum single logarithms generated by the first
non-singular part of the splitting functions and by the one-loop running of the
coupling. The resulting collinearly improved BK equation admits stable
solutions, which are used to successfully fit the HERA data at small-x for
physically acceptable initial conditions and reasonable values of the fit
parameters.Comment: 4 pages, 4 figures, based on talk given at Hard Probes 2015, 29 June
- 3 July 2015, Montreal, Canad
Resummation of Large Logarithms in the Rapidity Evolution of Color Dipoles
Perturbative corrections beyond leading-log accuracy to BFKL and BK
equations, describing the rapidity evolution of QCD scattering amplitudes at
high energy, exhibit strong convergence problems due to radiative corrections
enhanced by large single and double transverse logs. We identify explicitly the
physical origin of double transverse logs and resum them directly in coordinate
space as appropriate for BK equation, in terms of an improved local-in-rapidity
evolution kernel. Numerical results show the crucial role of double-logarithmic
resummation for BK evolution, which is stabilized and slowed down by roughly a
factor of two.Comment: 6 pages, 4 figures; Proceedings of the XXIII International Workshop
on Deep-Inelastic Scattering (27 April-May 1 2015, Dallas (USA)
Aspects of the UV/IR correspondence : energy broadening and string fluctuations
We show that a source which radiates in the vacuum of the strongly coupled
N=4 SYM theory produces an energy distribution which, in the supergravity
approximation, has the same space-time pattern as the corresponding classical
distribution: the radiation propagates at the speed of light without
broadening. We illustrate this on the basis of several examples: a small
perturbation propagating down a steady string, a massless particle falling into
AdS_5, and the decay of a time-like wave-packet. A similar observation was made
in Phys. Rev. D81 (2010) 126001 for the case of a rotating string. In all these
cases, the absence of broadening is related to the fact that the energy
backreaction on the boundary arises exclusively from the bulk perturbation at,
or near, the boundary. This is so since bulk sources which propagate in AdS_5
at the speed of light do not generate any energy on the boundary. We interpret
these features as an artifact of the supergravity approximation, which fails to
encode quantum mechanical fluctuations that should be present even in the
strong coupling limit. We argue that such fluctuations should enter the dual
string theory as longitudinal string fluctuations, which are not suppressed at
strong coupling. We heuristically estimate the effects of such fluctuations and
argue that they restore the broadening of the radiation, in agreement with
expectations from both quantum mechanics and the ultraviolet/infrared
correspondence.Comment: 47 page
Drell-Yan production and Lam-Tung relation in the Color Glass Condensate formalism
We study the Drell-Yan production cross section and structure functions in
proton (deuteron)-nucleus collisions using the Color Glass Condensate
formalism. The nucleus is treated in the Color Glass Condensate framework which
includes both higher twist effects due to the inclusion of multiple scatterings
and leading twist pQCD shadowing due to the small x resummation, while the
proton (or deuteron) is treated within the DGLAP improved parton model. In
particular, the Drell-Yan structure functions are used in order to investigate
the Lam-Tung relation at small x, which is known to be identically zero at
leading twist up to Next-to-Leading order, and is thus a good playground for
studying higher twist effects. In agreement with this, we find that violations
of this relation are more important for low momentum and invariant mass of the
Drell-Yan pair, and also in the region of rapidity that corresponds to smaller
values of x in the nucleus.Comment: 25 pages, 16 postscript figure
Transplantation of a Gitelman Syndrome Kidney Ameliorates Hypertension: A Case Report
Gitelman syndrome is caused by inactivating mutations of the gene that encodes the renal sodium/chloride cotransporter (NCC; encoded by SLC12A3), resulting in hypokalemia, hypomagnesemia, hypocalciuria, and metabolic alkalosis. Renal salt wasting commonly provokes mild hypotension. The paucity of previous kidney transplants from donors with known tubulopathies suggests that such conditions may be considered contraindications to donation. A 76-year-old man received a live unrelated kidney transplant from a donor with known Gitelman syndrome secondary to a pathogenic mutation of SLC12A3. Immediate graft function preceded the emergence of the Gitelman syndrome biochemical phenotype and blood pressure subsequently improved. The recipient developed unexpected hyponatremia. Potential causes are discussed, including the possibility that it paralleled the physiologic changes seen in the high-volume state of thiazide-induced hyponatremia. Transplanted kidneys are subject to nephrotoxicity from the use of calcineurin inhibitors. Acquired Gitelman syndrome may confer a potential long-term advantage to the recipient through both improved blood pressure control and protection against the calcineurin inhibitor–induced side-effect profile caused by NCC overactivation. Both the donor and recipient remain well. In conclusion, Gitelman syndrome need not preclude kidney donation and transference of the phenotype may have benefits for the recipient
First correction to JIMWLK evolution from the classical equations of motion
We calculate some corrections to the JIMWLK kernel in
the framework of the light-cone wave function approach to the high energy limit
of QCD. The contributions that we consider originate from higher order
corrections in the strong coupling and in the density of the projectile to the
solution of the classical Yang-Mills equations of motion that determine the
Weizs\"acker-Williams fields of the projectile. We study the structure of these
corrections in the dipole limit, showing that they are subleading in the limit
of large number of colours , and that they cannot be fully recast in the
form of dipole degrees of freedom.Comment: 4 pages, LaTeX, 2 eps figures included using graphicx, uses enclosed
iopart.cls; contribution to the proceedings of Quark Matter 2006 (Shanghai,
November 14th-20th 2006
Centrality Dependence of Hadron Multiplicities in Nuclear Collisions in the Dual Parton Model
We show that, even in purely soft processes, the hadronic multiplicity in
nucleus-nucleus interactions contains a term that scales with the number of
binary collisions. In the absence of shadowing corrections, this term dominates
at mid rapidities and high energies. Shadowing corrections are calculated as a
function of impact parameter and the centrality dependence of mid-rapidity
multiplicities is determined. The multiplicity per participant increases with
centrality with a rate that increases between SPS and RHIC energies, in
agreement with experiment.Comment: 15 pages, 4 postscript figure
- …