This series consists of talks in the area of Quantum Gravity.
By focusing on aspects of black hole thermodynamics, I will present some evidences supporting the unexpected role of the complex self-dual variables in quantum gravity. This will also be the occasion of revisiting some aspects of three-dimensional gravity, and in particular the link between the BTZ black hole and the Turaev-Viro state sum model. Also the information on the website for next week needs to be modified: We will not have a seminar on Thursday (as Thursday is PI day).
In this talk I will review the interpretation of Wilson line operators in the context of higher spin gravity in 2+1 dim and holography. I will show how a Wilson line encapsulates the thermodynamics of black holes. Furthermore it provides an elegant description of massive particles. This opens a new window of observables which will allow us to probe the true geometrical nature of higher spin gravity.
The entanglement of the quantum field theoretic vacuum state is affected by curvature. I ask if or under which conditions the curvature of spacetime can be expressed entirely in terms of the spatial entanglement structure of the vacuum. This would open up the prospect that general relativity could be formulated in quantum theoretic terms, which should then be helpful for studies in quantum gravity.
Spin foams provide models for quantum gravity and hence quantum space time. One of the key outstanding questions is to show that they reproduce smooth space time manifolds in a continuum limit.I will start with a very short introduction to spin foams and the structure of quantum space time they encode.
The most relevant evidences in favour of the Lorentzian EPRL-FK spinfoam model come from its capibility of reproducing the expected semiclassical limit in the large spin regime. The main examples of this are the large spin limit of the vertex amplitude, later extended to arbitrary triangulations, and that of the spinfoam graviton propagator, which was calculated on the simplest possible two complex. These results are very promising. Nonetheless, their relevance may be endangered by the effects associated to radiative corrections.
In several approaches
to quantum-gravity, the spectral dimension of spacetime runs from the standard
value of 4 in the infrared (IR) to a smaller value in the ultraviolet (UV).
Describing this running in terms of deformed dispersion relations, I show that
a striking cosmological implication is that that UV behavior leading to 2
spectral dimensions results in an exactly scale-invariant spectrum of vacuum scalar
and tensor fluctuations. I discuss scenarios that break exact scale-invariance
An exciting frontier in physics is to understand the quantum nature of gravitation in finite regions of spacetime. Study of these regions from ``below'', that is, by studying the quantum geometry of finite regions emerging from loop gravity and spin networks has recently resulted in a new road to the quantization of volume and to evidence that there is a robust gap in the volume spectrum. In this talk I will complement these results with recent work on conformal field theories in a particular finite region, a spherical ball of space.
The Functional
Renormalisation Group technique has received great attention in recent times
proving itself as a powerful tool to describe the high energy behaviour of
gravitational interactions.
Its key ingredient is a nontrivial fixed point of the theory renormalization
group flow which controls the behavior of the coupling constants in the
ultraviolet regime and ensures that physical quantities are safe from
divergences. I will briefly review the main ingredients of the gravitational asymptotic
Causal set theory is discrete, fully covariant theory of quantum
gravity. The discrete framework makes it necessary to reformulate
continuum concepts. One of these concepts is that of a derivative operator. It is
possible to define a derivative operator in causal sets that in
the continuum limit agrees with the d'Alembertian for a scalar
field. This operator can be used to define a causal set action, which
enables Monte-Carlo simulations. In this seminar I will present this operator and action and then
The functional renormalization group
is a tool in the systematic search for Euclidean QFTs that works with
very little input: All one needs to specify is a field content,
symmetries and a notion of locality. The functional renormalization
group then allows one to scan this theory space for bare actions for
which the path integral can be performed nonperturbatively. These
actions appear as fixed points (and relevant deformations) of the
renormalization group flow (so-called asymptotic safety). Such a