scholarly journals Universal stress-tensor correlation functions of strongly coupled conformal fluids

2013 ◽  
Vol 724 (1-3) ◽  
pp. 144-149 ◽  
Author(s):  
Ram Brustein ◽  
A.J.M. Medved
Keyword(s):  
Stress Tensor ◽  
Correlation Functions ◽  
Strongly Coupled ◽  
Tensor Correlation

On the gravitational dual to strongly coupled fluids

2021 ◽  
Author(s):  
◽  
Mark Musonda Webster Shawa
Keyword(s):  
Scattering Amplitudes ◽  
Stress Tensor ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
High Energy ◽  
Gravitational Theory ◽  
Strongly Coupled ◽  
Tensor Correlation ◽  
High Energy Scattering ◽  
Gauge Gravity

This thesis discusses the prospect of finding the gravitational dual to the strongly coupled conformal fluids, with a special interest in the quark-gluon plasma. Such a task can be achieved by matching certain physical observables of two apparently different theories that are dually related owing to the fact that the same string theory can be viewed in two different ways. This is particularly useful when one of the theories is intractable while its dual is manageable. We begin by postulating a particular type of gravitational theory from which we determine graviton scattering amplitudes in a special regime of high momentum. Using the gauge–gravity duality dictionary, the graviton scattering amplitudes can be mapped to stress-tensor correlation functions in the gauge theory. One of the outcomes of high-energy scattering experiments involving the quark-gluon plasma is stress-tensor correlator data. This thesis provides an algorithm for matching graviton scattering amplitudes with stress-tensor correlator data which, in principle, can be used to identify the gravitational dual to the quark-gluon plasma.

TRANSPORT PROPERTIES OF ANYONS

1992 ◽  
Vol 06 (17) ◽  
pp. 2837-2854
Author(s):  
D. V. KHVESHCHENKO
Keyword(s):  
Phase Transition ◽  
Critical Temperature ◽  
Transport Properties ◽  
Stress Tensor ◽  
Electric Current ◽  
Normal State ◽  
Correlation Functions ◽  
Electromagnetic Response ◽  
Zero Temperature ◽  
Tensor Correlation

We consider electromagnetic response as well as electrical and thermal transport in a normal state of anyon system at finite temperatures. We find the frequency and momentum dependences of electrical and thermal conductivities in the longwavelength limit. It is also shown that a pole of electric current and stress tensor correlation functions identified at zero temperature with a gapless sound-like mode becomes a diffusion above the critical temperature of the hypothetical superfluid anyon phase transition.

scholarly journals Three-dimensional 𝒩 = 2 supersymmetric gauge theories and partition functions on Seifert manifolds: A review

2019 ◽  
Vol 34 (23) ◽  
pp. 1930011 ◽  
Author(s):  
Cyril Closset ◽  
Heeyeon Kim
Keyword(s):  
Correlation Functions ◽  
Gauge Theories ◽  
Three Dimensional ◽  
Partition Functions ◽  
Exact Results ◽  
Strongly Coupled ◽  
Seifert Manifolds ◽  
Recent Developments ◽  
Supersymmetric Gauge ◽  
Chern Simons

We give a pedagogical introduction to the study of supersymmetric partition functions of 3D [Formula: see text] supersymmetric Chern–Simons-matter theories (with an [Formula: see text]-symmetry) on half-BPS closed three-manifolds — including [Formula: see text], [Formula: see text], and any Seifert three-manifold. Three-dimensional gauge theories can flow to nontrivial fixed points in the infrared. In the presence of 3D [Formula: see text] supersymmetry, many exact results are known about the strongly-coupled infrared, due in good part to powerful localization techniques. We review some of these techniques and emphasize some more recent developments, which provide a simple and comprehensive formalism for the exact computation of half-BPS observables on closed three-manifolds (partition functions and correlation functions of line operators). Along the way, we also review simple examples of 3D infrared dualities. The computation of supersymmetric partition functions provides exceedingly precise tests of these dualities.

scholarly journals Correlation functions for a strongly coupled boson system and plane partitions

2011 ◽  
Vol 369 (1939) ◽  
pp. 1319-1333 ◽  
Author(s):  
Nikolay Bogoliubov ◽  
Jussi Timonen
Keyword(s):  
Correlation Functions ◽  
Finite Size ◽  
Temperature Limit ◽  
Phase Model ◽  
Strong Interactions ◽  
Scaling Exponent ◽  
Strongly Correlated ◽  
Strongly Coupled ◽  
Plane Partitions ◽  
Hopping Model

A quantum phase model is introduced as a limit for very strong interactions of a strongly correlated q -boson hopping model. The exact solution of the phase model is reviewed, and solutions are also provided for two correlation functions of the model. Explicit expressions, including both amplitude and scaling exponent, are derived for these correlation functions in the low temperature limit. The amplitudes were found to be related to the number of plane partitions contained in boxes of finite size.

scholarly journals Pair correlation functions of strongly coupled two-temperature plasma

2017 ◽  
Vol 24 (9) ◽  
pp. 092703 ◽  
Author(s):  
Nathaniel R. Shaffer ◽  
Sanat Kumar Tiwari ◽  
Scott D. Baalrud
Keyword(s):  
Correlation Functions ◽  
Pair Correlation ◽  
Temperature Plasma ◽  
Pair Correlation Functions ◽  
Strongly Coupled ◽  
Two Temperature

Correlation Functions and the Equation of State of a Strongly Coupled Hydrogen Plasma in HNC Approximation

2002 ◽  
pp. 361-364
Author(s):  
T. S. Ramazanov ◽  
N. F. Baimbetov ◽  
M. A. Bekenov ◽  
R. Redmer ◽  
G. Röpke
Keyword(s):  
Equation Of State ◽  
Correlation Functions ◽  
Hydrogen Plasma ◽  
Strongly Coupled

Torque-coupling and particle–turbulence interactions

2012 ◽  
Vol 696 ◽  
pp. 319-329 ◽  
Author(s):  
Helge I. Andersson ◽  
Lihao Zhao ◽  
Mustafa Barri
Keyword(s):  
Stress Tensor ◽  
Fluid Phase ◽  
Turbulent Channel Flow ◽  
Coupled Simulation ◽  
Prolate Spheroidal ◽  
Strongly Coupled ◽  
Mechanical Coupling ◽  
Point Particles ◽  
Torque Vector ◽  
Force Coupling

AbstractA novel scheme for strong coupling between inertial Lagrangian point particles and a continuous Eulerian fluid phase has been developed. A full mechanical coupling can only be achieved if torque-coupling is applied along with the more conventional force-coupling. The torque vector acting from the particles on the fluid is expressed in terms of a new antisymmetric particle stress tensor which adds to the Stokes stress tensor. A strongly-coupled simulation of a turbulent channel flow laden with prolate spheroidal particles with aspect ratio 5:1 demonstrated that the inclusion of torque-coupling reduced the modulation of the turbulent flow field observed in a two-way force-coupled simulation. The spin and orientation of the spheroids were significantly affected.

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