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Edward Shuryak

Publications and source records attributed to Edward Shuryak.

At least 109 records · Page 6Linked to original sources
arXiv2013

High Multiplicity pp and pA Collisions: Hydrodynamics at its Edge

With growing multiplicity, the pp and pA collisions enter the domain where the macroscopic description (thermodynamics and hydrodynamics) becomes applicable. We discuss this situation, first with simplified thought experiments, then with some idealized representative cases, and finally address the real data. For clarity, we don't do it numerically but analytically, using the Gubser solution. We found that the radial flow is expected to increase from central AA to central pA, while the elliptic flow decreases, with higher harmonics being comparable. In the second part of the paper we approach the problem from the opposite side, using a string-based Pomeron model. We extensively study the magnitude and distribution of the viscous corrections, in Navier-Stokes and Israel-Stuart approximations, ending with higher gradient re-summation proposed by Lublinsky and Shuryak. We found those corrections growing, from AA to pA to pp, but remaining at the manageable size even in the last case.

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arXiv2013

The Sound Edge of the Quenching Jets

When quenching jets deposit certain amount of energy and momentum into ambient matter, part of it propagates in the form of shocks/sounds. The "sound surface", separating disturbed and undisturbed parts of the fireball, makes what we call the sound edge of jets. In this work we semi-analytically study its shape, in various geometries. We further argue that since hadrons with in the kinematical range of $p_\perp\sim 2\, GeV$ originate mostly from the "rim" of the fireball, near the maximum of the radial flow at the freezeout surface, only the intersection of the "sound surface" with this "rim" would be observable. The resulting "jet edge" has a form of extra matter at the elliptic curve, in $Δϕ, Δη$ coordinates, with radius $|Δϕ| \sim |Δη|\sim 1$. In the case of large energy/momentum deposition $\sim 100 \, GeV$ we argue that the event should be considered as two sub-events, with interior of the "sound surface" having modified radial and directed flow. We further argue that in the kinematical range of $p_\perp\sim 3\, GeV$ the effect of that can be large enough to be seen on event-by-event basis. If so, this effect has a potential to become a valuable tool to address geometry of jet production and quenching.

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arXiv2013

The Sounds of the QCD Phase Transition

Hydrodynamic description of a fireball produced in high energy heavy ion collisions has been recently supplemented by a very successful study of acoustic perturbation created by the initial state perturbations. We discuss sound produced at later stages of the collision, as the temperature drops below critical, $T<T_c$, and originated from the Rayleigh-type collapse of the QGP clusters. In certain analytic approximation we study distorted "sound spheres" and calculate modifications of the particle spectra and two-particle correlators induced by them. Unlike for initial state perturbations studied previously, we propose to look for those late-time sounds using rapidity correlations, rather than the azimuthal angles of the particles. We then summarize known data on rapidity correlations from RHIC and LHC, suggesting that the widening of those can be the first signature of the late-time sounds.

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arXiv2013

QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons

Topological phenomena in gauge theories have long been recognized as the driving force for chiral symmetry breaking and confinement. These phenomena can be conveniently investigated in the semi-classical picture, in which the topological charge is entirely carried by (anti-)self-dual gauge configurations. In such an approach, it has been shown that near the critical temperature, the non-zero expectation value of the Polyakov loop (holonomy) triggers the "Higgsing" of the color group, generating the splitting of instantons into $N_c$ self-dual dyons. A number of lattice simulations have provided some evidence for such dyons, and traced their relation with specific observables, such as the Dirac eigenvalue spectrum. In this work, we formulate a model, based on one-loop partition function and including Coulomb interaction, screening and fermion zee modes. We then perform the first numerical Monte Carlo simulations of a statistical ensemble of self-dual dyons,as a function of their density, quark mass and the number of flavors. We study different dyonic two-point correlation functions and we compute the Dirac spectrum, as a function of the ensemble diluteness and the number of quark flavors.

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arXiv2012

Effect of Light Fermions on the Confinement Transition in QCD-like Theories

Dependence of the confinement transition parameters on the fermion content provides information on the mechanism of confinement. Recent progress in lattice gauge theories has allowed to study it for light flavor number $N_f\sim O(10)$ and found this transition to shift toward significantly stronger coupling. We propose an explanation for that: light fermions can occupy the chromo-magnetic monopoles, via zero modes, making them "distinguishable" and unsuitable for Bose-Einstein Condensation. Such dilution of unoccuplied monopoles is compensated by stronger coupling that makes them lighter and more numerous. We also suggest that flavor-carrying quark-monopole objects account for the density beyond quark Fermi sphere seen in cold dense phase of $N_c=2$ lattice QCD.

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arXiv2012

The Chiral Symmetry Breaking/Restoration in Dyonic Vacuum

We discuss the topological phenomena in the QCD-like theories with variable number of fundamental $N_f$ or adjoint $N_a$ fermions, focusing on the temperatures at or above the critical value $T_c$ of chiral symmetry restoration. Nonzero average of the Polyakov line, or holonomy, splits instantons into (anti)selfdual dyons, and we study both bosonic and fermionic interactions between them. The high temperature phase is a dilute gas of "molecules" made of $2N_c$ dyons, neutral in topological, electric and magnetic charges. At intermediate temperatures the diluteness reaches some critical level at which chiral symmetry gets restored: we explain why it is very different for the fundamental and adjoint fermions. At high density the ensemble is a strongly coupled liquid with crystal-like short range order: we speculate about its structure at small and large $N_f$. We finally explaine certain lattice observations and suggest a number of further lattice tests.

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arXiv2012

Shocks in Quark-Gluon Plasmas

Hydrodynamics is known to describe matter created in high energy heavy ion collisions well. Large deposition of energy by passing jets should create not only the sound waves, already discussed in literature, but also the shocks waves of finite amplitude. This paper is an introduction to relativistic shocks, which go through elementary energy and momentum continuity argument, to weak shocks treated in Navier-Stokes approximation, to out-of-equilibrium setting of AdS/CFT. While we have not yet found numerical solution to corresponding Einstein equations, we have found a variational approximation to the sum of their squares. Our general conclusion is that deviations from LS and NS hydrodynmical shock profiles are surprisingly small, even for strong shocks. We end with a list of open questions which the exact solution should be able to answer.

hep-ph↗
arXiv2012

QCD-like theories with many fermions: magnetic plasma and unusual confinements

This comment-style letter represents a part of my talks on new developments in lattice QCD. While it does not contain any new results, it containes some theoretical ideas and comparisons which, I think, are not yet widely discussed in the lattice community. We point out that for $N_f\sim 10$ one can study a plasma phase which is much more "magnetic dominated" than for small $N_f$. We also suggest certain tests/measurements to check if "unusual confinement" phases are or are not realized in this region.

hep-lat↗
arXiv2011

Toward the AdS/CFT dual of the "Little Bang"

This (rather subjective) review sums up few years of work devoted to explain various aspects of high energy heavy ion collisions using the AdS/CFT correspondence. The central issue of is is formation of the trapped surface (black hole) phenomenon, seen by a distant observer as the entropy production. We end up discussing an issue of classical gravitational radiation by an ultrarelativistic falling body and the so called breaking self-force related to it.

hep-ph↗
arXiv2011

Self-force and synchrotron radiation in odd space-time dimensions

Classical electrodynamics in flat 3+1 space-time has a very special retarded propagator delta(x^2) localized on the light cone, so that a particle does not interact with its past field. However, this is an exception, and in flat odd-dimensional space-times as well as generic curved spaces this is not so. In this work we show that the so called self-force is not only non-zero, but it matches (in 2+1 dimensions) the radiation reaction force derived from the radiation intensity.

hep-th↗
arXiv2011

Sound Propagation on Top of the Fireball

We study the effect that initial state fluctuations have on final particle correlations in heavy ion collisions. More precisely, we focus on the propagation of initial perturbations on top of the expanding fireball using the conformal solution derived by Gubser and Yarom for central collisions. For small perturbations, the hydrodynamic equations are solved by separation of variables and the solutions for different modes are added up to construct initial point-like perturbations, that are then allowed to evolve until freeze-out. The Cooper-Frye prescription is used to determine the final particle distribution. We present the two-particle correlation functions and their Fourier spectra obtained for different viscosities and different initial widths of the perturbation. We find that viscosity kills the higher harmonics, but that the Fourier spectra presents maxima and minima, similar to what is seen in the study of cosmic microwave background radiation.

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arXiv2011

Jet Quenching via Gravitational Radiation in Thermal AdS

We argue that classical bulk gravitational radiation effects in AdS/CFT, previously ignored because of their subleading nature in the 1/Nc-expansion, are magnified by powers of large Lorentz factors gamma for ultrarelativistic jets, thereby dominating other forms of jet energy loss in holography at finite temperature. We make use of the induced gravitational self-force in thermal AdS5 to estimate its effects. In a thermal medium, relativistic jets may loose most of their energy through longitudinal drag caused by the energy accumulated in their nearby field as they zip through the strongly coupled plasma.

hep-th↗
arXiv2011

The second act of hydro: small perturbations

Hydrodynamical description of the "Little Bang" in heavy ion collisions is surprisingly successful: here we systematically study propagation of small perturbations %, also treated hydrodynamically. Using analytic description of the expanding fireball known as the "Gubser flow", we proceed to linearized equations for perturbations. As all variables are separated and all equations solved (semi)analytically, we can collect all the harmonics and reconstruct the complete Green function of the problem, even in the viscous case. Applying it to the power spectrum we found acoustic minimum at the $m=7$ and maximum at $m=9$, which remarkably have some evidence for both in the data. We estimate effective viscosity and size of the perturbation from a fit to power spectrum. The shape of the two-point correlator is also reproduced remarcably well. At the end we argue that independent perturbations are local, and thus harmonics phases are correlated.

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arXiv2011

The Fate of the Initial State Perturbations in Heavy Ion Collisions

Heavy ion collisions at RHIC are well described by the (nearly ideal) hydrodynamics. In the present paper we study propagation of perturbations induced by moving charges (jets) on top of the expanding fireball, using hydrodynamics and (dual) magnetohydrodynamics. Two experimentally observed structures, called a "cone" and a "hard ridge", have been discovered in dihadron correlation function with large-$p_t$ trigger, while "soft ridge" is a similar structure seen without hard trigger. All three can be viewed as traces left by a moving charge in matter, on top of overall expansion. A puzzle is why those perturbations are apparently rather well preserved at the time of the fireball freezeout. We study two possible solutions to it: (i) a "wave-splitting" acoustic option and (ii) a "metastable electric flux tubes". In the first case we show that rapidly variable speed of sound under certain conditions leads to secondary sound waves, which are at freezeout time closer to the original location and have larger intensities than the first wave. In the latter case we rely on (dual) magnetohydrodynamics, which also predicts two cones or cylinders of the waves. We also briefly discuss metastable electric flux tubes in the near-$T_c$ phase and their relation to clustering data.

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arXiv2011

The Fate of the Initial State Fluctuations in Heavy Ion Collisions. III The Second Act of Hydrodynamics

Hydrodynamical description of the "Little Bang" in heavy ion collisions is surprisingly successful, mostly due to the very small viscosity of the Quark-Gluon plasma. In this paper we systematically study the propagation of small perturbations, also treated hydrodynamically. We start with a number of known techniques allowing for analytic calculation of the propagation of small perturbations on top of the expanding fireball. The simplest approximation is the "geometric acoustics", which substitutes the wave equation by mechanical equations for the propagating "phonons". Next we turn to the case in which variables can be separated, in which case one can obtain not only the eikonal phases but also amplitudes of the perturbation. Finally, we focus on the so called Gubser flow, a particular conformal analytic solution for the fireball expansion, on top of which one can derive closed equations for small perturbations. Perfect hydrodynamics allows all variables to be separated and all equations to be solved in terms of known special functions. We can thus collect the analytical expression for all the harmonics and reconstruct the complete Green function of the problem. In the viscous case the equations still allow for variable separation, but one of the equations has to be solved numerically. We still can collect all the harmonics and show real-time perturbation evolution, observing viscosity-induced changes in the spectra and the correlation functions of secondaries. We end up by comparing the calculated angular shape of the correlation function to the STAR experimental data, and find, for sufficiently large viscosity, a surprisingly good agreement.

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arXiv2011

Sound Waves from Quenched Jets

Heavy ion collisions at RHIC/LHC energies are well described by the (nearly ideal) hydrodynamics. Last year this success has been extended to higher angular harmonics, $v_n,n=3..9$ induced by initial-state perturbations, in analogy to cosmic microwave background fluctuations. Here we use hydrodynamics to study sound propagation emitted by quenched jets. We use the so called "geometric acoustics" to follow the sound propagation, on top of the expanding fireball. The conical waves, known as "Mach cones", turn out to be strongly distorted. We show that large radial flow makes the observed particle spectra to be determined mostlly by the vicinity of their intersection with the fireball's space-like and time-like freezeout surfaces. We further show how the waves modify the freezeout surfaces and spectra. We end up comparing our calculations to the two-particle correlation functions at RHIC, while emphasizing that studies of dijet events observed at LHC should provide much better test of our theory.

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arXiv2011

Can the Standard Model CP violation near the W-bags explain the cosmological baryonic asymmetry?

In the scenario of cold electroweak baryogenesis, oscillations of the Higgs field lead to metastable domains of unbroken phase where the Higgs field nearly vanishes. Those domains have also been identified with the $W-t-\bar{t}$ bags, a non-topological soliton made of large number ($\sim 1000$) of gauge quanta and heavy (top and anti-top) quarks. As real-time numerical studies had shown, sphalerons (topological transition events violating the baryon number) occur only inside those bags. In this work we estimate the amount of CP violation in this scenario coming from the Standard Model, via the Cabibbo-Kobayashi-Maskawa (CKM) quark mixing matrix, resulting in top-minus-antitop difference of the population in the bags. Since these tops/anti-tops are "recycled" by sphalerons, this population difference leads directly to the baryonic asymmetry of the Universe. We look at the effect appearing in the 4th order in weak $W$ diagrams describing interference of different quark flavor contributions. We found that there are multiple cancellations of diagrams and clearly sign-definite effect appears only in the 6th order expansion over flavor-dependent phases. We then estimate contributions to these diagrams in which weak interaction occurs (i) inside, (ii) near and (iii) far from the $W-t-\bar{t}$ b-bags, optimizing the contributions in each of them. We conclude that the second ("near") scenario is the dominant one, producing CP violation of the order of $10^{-10}$, in our crude estimates. Together with the baryon violation rate of about $10^{-2}$, previously demonstrated for this scenario, it puts the resulting asymmetry close to what is needed to explain the observed baryonic asymmetry in the Universe. Our answer also has a definite sign, which apparently seems to be the correct one.

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