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Quantum Field Theory - Lecture 9A

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 19, 2012

PIRSA:12100014
High Energy Physics
Understanding black hole entropy through the renormalization group

Alejandro Satz

October 18, 2012

PIRSA:12100053
Towards an Asymptotically AdS Description of Heavy Ion Collisions

Hans Bantilan Princeton University
October 18, 2012

PIRSA:12100076
High Energy Physics
Quantum Field Theory - Lecture 8B

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 18, 2012

PIRSA:12100069
High Energy Physics
Condensed Matter - Lecture 8

Assa Auerbach Technion – Israel Institute of Technology
October 18, 2012

PIRSA:12100031
Condensed Matter
Quantum Field Theory - Lecture 8A

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 18, 2012

PIRSA:12100013
High Energy Physics
Astrophysical shear-driven turbulence

Jeremy Goodman Princeton University

October 17, 2012

PIRSA:12100043
Condensed Matter - Lecture 7

Assa Auerbach Technion – Israel Institute of Technology
October 17, 2012

PIRSA:12100030
Condensed Matter
Quantum Field Theory - Lecture 7B

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 17, 2012

PIRSA:12100068
High Energy Physics
Quantum Field Theory - Lecture 7A

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 17, 2012

PIRSA:12100012
High Energy Physics
Condensed Matter Seminar

Assa Auerbach Technion – Israel Institute of Technology
October 16, 2012

PIRSA:12100078
Condensed Matter
Constraining RG flow in three-dimensional field theory

Benjamin Safdi Massachusetts Institute of Technology (MIT)
October 16, 2012

PIRSA:12100054
High Energy Physics

Quantum Field Theory - Lecture 9A

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 19, 2012

PIRSA:12100014
High Energy Physics
Understanding black hole entropy through the renormalization group

Alejandro Satz

October 18, 2012

PIRSA:12100053

It is known that the entanglement entropy of quantum fields on the black hole background contributes to the Bekenstein-Hawking entropy,and that its divergences can be absorbed into the renormalization of gravitational couplings. By introducing a Wilsonian cutoff scale and the concepts of the renormalization group, we can expand this observation into a broader framework for understanding black hole entropy. At a given RG scale, two contributions to the black hole entropy can be identified: the "gravitational" contribution coming from the running effective gravitational action, and the entanglement entropy of the quantum degrees of freedom below the cutoff scale. At different RG scales the balance is different, though the total black hole entropy is invariant. I will describe this picture for free fields, considering both minimal and non-mininal coupling, and discuss the extension to interacting fields and the difficulties it raises.
Towards an Asymptotically AdS Description of Heavy Ion Collisions

Hans Bantilan Princeton University
October 18, 2012

PIRSA:12100076
High Energy Physics
I will discuss recent work in simulating asymptotically anti-de Sitter spacetimes, and its relation to heavy ion collider physics. For this purpose, I intend to focus on a class of oblately deformed black hole spacetime solutions. For each of these solutions, I will map the gravitational metric in the spacetime bulk to a stress tensor one-point function of the conformal field theory defined on the spacetime boundary. During the ring-down process, wherein the deformed black hole settles down to the AdS analog of the Schwarzschild solution, I will exhibit evidence that the dual CFT stress tensor on the boundary is that of an N=4 SYM fluid, even for black holes of significant deformation well outside the perturbative regime. We will conformally map the boundary fluid onto a real-world fluid in Minkowski space, and discover a temperature profile which can be thought of as approximating that of a head-on heavy ion collision at its moment of impact. I will close with a description of recent parallel explorations.
Quantum Field Theory - Lecture 8B

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 18, 2012

PIRSA:12100069
High Energy Physics
Condensed Matter - Lecture 8

Assa Auerbach Technion – Israel Institute of Technology
October 18, 2012

PIRSA:12100031
Condensed Matter
Quantum Field Theory - Lecture 8A

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 18, 2012

PIRSA:12100013
High Energy Physics
Astrophysical shear-driven turbulence

Jeremy Goodman Princeton University

October 17, 2012

PIRSA:12100043

Astronomical hydrodynamics is usually almost ideal in the sense that the Reynolds number (Re) is enormous and any effective viscosity must be due to shocks or turbulence. Astronomical magnetohydrodynamics (MHD) is often also nearly ideal, so that magnetic fields and plasma are well coupled. In particular, dissipation of orbital energy in accretion disks around black holes is readily explained by MHD turbulence. On the other hand, the planet-bearing disks around protostars are magnetically far from ideal because of very low fractional ionization. MHD turbulence is at best marginal in these disks, yet accretion is observed. The Reynolds numbers based on orbital-velocity gradients are enormous, so by analogy with high-Re terrestrial flows, one might expect hydrodynamic (i.e., unmagnetized) turbulence. Direct numerical simulations indicate that such turbulence is somehow suppressed by keplerian rotation, though the mechanism is
unclear and the simulations are limited in Re. Recently, a few groups have studied the question via Taylor-Couette experiments at somewhat higher Re, obtaining conflicting results. Complicating and enriching this debate is the recent discovery that turbulence tends to have a finite lifetime in shear flows that admit a formally linearly stable laminar solution: this includes flow in smooth pipes and probably also unmagnetized keplerian disks. Some suggestions will be offered as to how these open questions might be resolved.
Condensed Matter - Lecture 7

Assa Auerbach Technion – Israel Institute of Technology
October 17, 2012

PIRSA:12100030
Condensed Matter
Quantum Field Theory - Lecture 7B

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 17, 2012

PIRSA:12100068
High Energy Physics
Quantum Field Theory - Lecture 7A

Konstantin Zarembo Nordic Institute for Theoretical Physics
October 17, 2012

PIRSA:12100012
High Energy Physics
Condensed Matter Seminar

Assa Auerbach Technion – Israel Institute of Technology
October 16, 2012

PIRSA:12100078
Condensed Matter
Constraining RG flow in three-dimensional field theory

Benjamin Safdi Massachusetts Institute of Technology (MIT)
October 16, 2012

PIRSA:12100054
High Energy Physics
The entanglement entropy S(R) across a circle of radius R has been invoked recently in deriving general constraints on renormalization group flow in three-dimensional field theory. At conformal fixed points, the negative of the finite part of the entanglement entropy, which is called F, is equal to the free energy on the round three-sphere. The F-theorem states that F decreases under RG flow. Along the RG flow it has recently been shown that the renormalized entanglement entropy {\cal F}(R) = -S(R) + R S'(R), which is equal to F at the fixed points, is a monotonically decreasing function. I will review various three-dimensional field theories where we can calculate F on the three-sphere and compute its change under RG flow, including free field theories, perturbative fixed points, large N field theories with double trace deformations, gauge theories with large numbers of flavors, and supersymmetric theories with at least {\cal N} = 2 supersymmetry. I will also present calculations of the renormalized entanglement entropy along the RG flow in free massive field theory and in holographic examples.

Title	Date	Collection	Type	Info
Quantum Field Theory - Lecture 9A	2012‑10‑19	12/13 PSI - Quantum Field Theory 1	Course	View details
Understanding black hole entropy through the renormalization group	2012‑10‑18	Quantum Gravity	Scientific Series	View details
Towards an Asymptotically AdS Description of Heavy Ion Collisions	2012‑10‑18	Strong Gravity	Scientific Series	View details
Quantum Field Theory - Lecture 8B	2012‑10‑18	12/13 PSI - Quantum Field Theory 1	Course	View details
Condensed Matter - Lecture 8	2012‑10‑18	12/13 PSI - Condensed Matter	Course	View details
Quantum Field Theory - Lecture 8A	2012‑10‑18	12/13 PSI - Quantum Field Theory 1	Course	View details
Astrophysical shear-driven turbulence	2012‑10‑17	Colloquium	Scientific Series	View details
Condensed Matter - Lecture 7	2012‑10‑17	12/13 PSI - Condensed Matter	Course	View details
Quantum Field Theory - Lecture 7B	2012‑10‑17	12/13 PSI - Quantum Field Theory 1	Course	View details
Quantum Field Theory - Lecture 7A	2012‑10‑17	12/13 PSI - Quantum Field Theory 1	Course	View details
Condensed Matter Seminar	2012‑10‑16		Other	View details
Constraining RG flow in three-dimensional field theory	2012‑10‑16	Quantum Fields and Strings	Scientific Series	View details

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Format results

Quantum Field Theory - Lecture 9A

Understanding black hole entropy through the renormalization group

Towards an Asymptotically AdS Description of Heavy Ion Collisions

Quantum Field Theory - Lecture 8B

Condensed Matter - Lecture 8

Quantum Field Theory - Lecture 8A

Astrophysical shear-driven turbulence

Condensed Matter - Lecture 7

Quantum Field Theory - Lecture 7B

Quantum Field Theory - Lecture 7A

Condensed Matter Seminar

Constraining RG flow in three-dimensional field theory

Quantum Field Theory - Lecture 9A

Understanding black hole entropy through the renormalization group

Towards an Asymptotically AdS Description of Heavy Ion Collisions

Quantum Field Theory - Lecture 8B

Condensed Matter - Lecture 8

Quantum Field Theory - Lecture 8A

Astrophysical shear-driven turbulence

Condensed Matter - Lecture 7

Quantum Field Theory - Lecture 7B

Quantum Field Theory - Lecture 7A

Condensed Matter Seminar

Constraining RG flow in three-dimensional field theory