Renormalization Group Approaches to Quantum Gravity

25 talks

April 22, 2014 - April 25, 2014

C14020

Collection Type

Conference/School

Description

Renormalization Group Approaches to Quantum Gravity Conference - Apr. 22-25th

Displaying 13 - 24 of 25

Refinement limit of quantum group spinnets

Mercedes Martin-Benito
Complutense University of Madrid

April 23, 2014

PIRSA:14040098
Grassmann tensor network renormalization and fermionic topological quantum field theory: a new route towards quantum gravity

Zheng-Cheng Gu
Chinese University of Hong Kong

April 24, 2014

PIRSA:14040099
Global flows in quantum gravity

Jan Pawlowski
Universität Heidelberg - Institut für Theoretische Physik

April 24, 2014

PIRSA:14040100
On background-independent renormalization in state-sum model

Benjamin Bahr
Universität Hamburg

April 24, 2014

PIRSA:14040101
Phases of Gravity

Petr Horava
University of California, Berkeley

April 24, 2014

PIRSA:14040104
One-loop renormalization in a toy model of Horava-Lifshitz gravity

Dario Benedetti
Ecole Polytechnique - CPHT

April 24, 2014

PIRSA:14040105
Gravitational RG flows on foliated spacetimes

Frank Saueressig
Radboud Universiteit Nijmegen

April 24, 2014

PIRSA:14040106
The Asymptotic Safety Program: New results and an inconvenient truth

Martin Reuter
Johannes Gutenberg University Mainz

April 25, 2014

PIRSA:14040108
Why matter matters in quantum gravity

Astrid Eichhorn
University of Southern Denmark

April 25, 2014

PIRSA:14040109
Renormalization of entanglement entropy and the gravitational effective action

Joshua Cooperman
Radboud Universiteit Nijmegen

April 25, 2014

PIRSA:14040110
Renormalization group approach to 3d group field theory

Sylvain Carrozza
University of Burgundy

April 25, 2014

PIRSA:14040112
Between Matrices and Tensors

Vincent Rivasseau
University of Paris-Saclay

April 25, 2014

PIRSA:14040113

Refinement limit of quantum group spinnets

Mercedes Martin-Benito
Complutense University of Madrid

April 23, 2014

PIRSA:14040098

The many-building-blocks limit of spin foam models remains to be an open question. The complexity of these models makes the analysis of their possible continuum phases a very difficult task. In the last years progress in this direction has been made by considering simplified, yet featured-rich, analog models to spin foams, the so-called spin net models. These models retain the main dynamical ingredient of spin foams, namely the simplicity constraints. In this talk we will introduce spin net models based on the quantum group SU(2)_q, and we will review the use of tensor network renormalization group techniques to study their coarse graining. We will analyze the resulting phase diagram, which interestingly displays a rich structure of fixed points. Furthermore we will discuss the relation of spin nets with spin foams.
Grassmann tensor network renormalization and fermionic topological quantum field theory: a new route towards quantum gravity

Zheng-Cheng Gu
Chinese University of Hong Kong

April 24, 2014

PIRSA:14040099

Recently, the development of tensor network renormalization approach has provided us a powerful tool to construct new classes of topological quantum field theories(TQFTs) in discrete space-time. For example, the Turaev Viro’s states sum constructions are fixed point tensor networks representing a special class of 2+1D TQFTs. Interestingly, the Grassmann variable generalization of tensor network renormalization approach leads to new classes of TQFTs for interacting fermion systems, namely, the fermionic TQFTs. In this talk, I will start with a fermionic topological nonlinear sigma model and discuss its corresponding new mathematics - group super-cohomology theory. Then I will explain the fermionic generalization of Dijkgraaf -Witten gauge theory by using group supercohomology theory. Finally I will show examples beyond fermionic Dijkgraaf -Witten gauge theory and discuss possible new routes towards quantum gravity.
Global flows in quantum gravity

Jan Pawlowski
Universität Heidelberg - Institut für Theoretische Physik

April 24, 2014

PIRSA:14040100

In this talk I present recent work on complete UV-IR flows for the fully momentum-dependent propagator, RG-consistent vertices, Newtons coupling and the cosmological constant. For the first time, a global phase diagram is obtained where the non-Gaussian ultraviolet fixed point of asymptotic safety is connected via smooth trajectories to an infrared fixed point with classical scaling. Physics implications as well as the extension to gauge-matter-gravity systems are discussed.
On background-independent renormalization in state-sum model

Benjamin Bahr
Universität Hamburg

April 24, 2014

PIRSA:14040101

In this talk we discuss some notion of coarse graining in state-sums, most notably a class of spin foam models in their holonomy representations. We discuss the notion of scale in this context, and how diffeomorphism-invariance ties into the existence of a continuum limit. We close with an example and muse about the interplay between diffeomorphism-invariance and non-renormalizability.
Phases of Gravity

Petr Horava
University of California, Berkeley

April 24, 2014

PIRSA:14040104

Quantum gravity with anisotropic scaling exhibits a rich structure of phases and phase transitions, dominated by multicritical behavior dependent on the spacetime dimension and the dynamical critical exponent. I will discuss some features of this phase structure, as well as its similarities and differences in comparison to the CDT approach to quantum gravity.
One-loop renormalization in a toy model of Horava-Lifshitz gravity

Dario Benedetti
Ecole Polytechnique - CPHT

April 24, 2014

PIRSA:14040105

I will present some recent results on the UV properties of a toy model of Horava-Lifshitz gravity in 2+1 dimensions. In particular, I will illustrate some details of a one-loopcalculation, leading to beta functions for the running couplings. The renormalization group flow obtained in such way shows that Newton's constant is asymptotically free. However, the DeWitt
supermetric approaches its Weyl invariant form with the same speed and the effective interaction coupling of the scalar degree of freedom remains constant along the flow. I will discuss some general lesson that we can learn from these results.
Gravitational RG flows on foliated spacetimes

Frank Saueressig
Radboud Universiteit Nijmegen

April 24, 2014

PIRSA:14040106

The role of time and a possible foliation structure of spacetime are longstanding questions which lately received a lot of renewed attention from the quantum gravity community. In this talk, I will review recent progress in formulating a Wetterich-type functional renormalization group equation on foliated spacetimes and outline its potential applications. In particular, I will discuss first results concerning the RG flow of
Horava-Lifshitz gravity, highlighting a possible mechanism for a dynamical Lorentz-symmetry restoration at low energies.
The Asymptotic Safety Program: New results and an inconvenient truth

Martin Reuter
Johannes Gutenberg University Mainz

April 25, 2014

PIRSA:14040108

We briefly review the various components and their conceptual status of the full Asymptotic Safety Program which aims at finding a nonperturbative infinite-cutoff limit of a regularized functional integral for a quantum field theory of gravity. It is explained why in the continuum formulation based on the Effective Average Action the key requirement of background independence unavoidably results in a "bi-metric" framework, and recent results on truncated RG flows of bi-metric actions are presented. They suggest that the next generation of truncations that must be explored should be of bi-metric type. As an application, a method of characterizing and counting physical states is shown to arise.
Why matter matters in quantum gravity

Astrid Eichhorn
University of Southern Denmark

April 25, 2014

PIRSA:14040109

I will argue that a fundamental theory of quantum gravity that is applicable to our universe must include matter degrees of freedom. In my talk I will focus on the option that these are fundamental, in contrast to low-energy effective, degrees of freedom, and must thus be included in the microscopic dynamics of spacetime.
I will present evidence that dynamical Standard Model matter is compatible with asymptotically safe quantum gravity, while several "Beyond Standard Model" scenarios are disfavored. I will also discuss how the coupling to matter opens a window into the observational quantum gravity regime.
Renormalization of entanglement entropy and the gravitational effective action

Joshua Cooperman
Radboud Universiteit Nijmegen

April 25, 2014

PIRSA:14040110

The entanglement entropy associated with a spatial boundary in quantum field theory is ultraviolet divergent, its leading term being proportional to the area of the boundary. Callan and Wilczek proposed a geometrical prescription for computing this entanglement entropy as the response of the gravitational effective action to a conically singular metric perturbation. I argue that the Callan-Wilczek prescription is rigorously justified at least for a particular class of quantum states each expressible as a Euclidean path integral. I then show that the entanglement entropy is rendered ultraviolet finite by precisely the counterterms required to cancel the ultraviolet divergences in the gravitational effective action. In particular, the leading contribution to the entanglement entropy is given by the renormalized Bekenstein-Hawking formula. These results apply to a general quantum field theory coupled to a fixed background metric, holding for arbitrary entangling surfaces with vanishing extrinsic curvature in any dimension, to all orders in perturbation theory in the quantum fields, and for all ultraviolet divergent terms in the entanglement entropy. I also reconcile these results on the entanglement entropy with the existing literature, compare them to the Wald entropy, and speculate on their interpretation and implication.
Renormalization group approach to 3d group field theory

Sylvain Carrozza
University of Burgundy

April 25, 2014

PIRSA:14040112

I will start with a brief overview of tensorial group field theories with gauge invariant condition and their relation to spin foam models. The rest of the talk will be focused on the SU(2) theory in dimension 3, which is related to Euclidean 3d quantum gravity and has been proven renormalizable up to order 6 interactions. General renormalization group flow equations will be introduced, allowing in particular to understand the behavior of the relevant couplings in the neighborhood of the Gaussian fixed point. I will close with preliminary investigations about the existence of a non-trivial fixed point.
Between Matrices and Tensors

Vincent Rivasseau
University of Paris-Saclay

April 25, 2014

PIRSA:14040113

Quartic tensor models can be rewritten in terms of intermediate matrix fields. The corresponding expansion is not only simpler, it suggests also new bridges between matrices, strings and tensors.

Title	Speaker(s)	Date	Talk Type	Info
Refinement limit of quantum group spinnets	Mercedes Martin-Benito	2014-04-23	Conference	View details
Grassmann tensor network renormalization and fermionic topological quantum field theory: a new route towards quantum gravity	Zheng-Cheng Gu	2014-04-24	Conference	View details
Global flows in quantum gravity	Jan Pawlowski	2014-04-24	Conference	View details
On background-independent renormalization in state-sum model	Benjamin Bahr	2014-04-24	Conference	View details
Phases of Gravity	Petr Horava	2014-04-24	Conference	View details
One-loop renormalization in a toy model of Horava-Lifshitz gravity	Dario Benedetti	2014-04-24	Conference	View details
Gravitational RG flows on foliated spacetimes	Frank Saueressig	2014-04-24	Conference	View details
The Asymptotic Safety Program: New results and an inconvenient truth	Martin Reuter	2014-04-25	Conference	View details
Why matter matters in quantum gravity	Astrid Eichhorn	2014-04-25	Conference	View details
Renormalization of entanglement entropy and the gravitational effective action	Joshua Cooperman	2014-04-25	Conference	View details
Renormalization group approach to 3d group field theory	Sylvain Carrozza	2014-04-25	Conference	View details
Between Matrices and Tensors	Vincent Rivasseau	2014-04-25	Conference	View details

Renormalization Group Approaches to Quantum Gravity

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