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pro vyhledávání: '"Bahr, Benjamin"'
The Renormalization Group encodes three concepts that could be key to accelerate progress in quantum gravity. First, it provides a micro-macro connection that could connect microscopic spacetime physics to phenomenology at observationally accessible
Externí odkaz:
http://arxiv.org/abs/2103.14605
Properties of the Hamiltonian Renormalisation and its application to quantum mechanics on the circle
Autor:
Bahr, Benjamin, Liegener, Klaus
Publikováno v:
Class.Quant.Grav. 39 (2022) 7, 075010
We consider the Hamiltonian renormalisation group flow of discretised one-dimensional physical theories. In particular, we investigate the influence the choice of different embedding maps has on the RG flow and the resulting continuum limit, and show
Externí odkaz:
http://arxiv.org/abs/2101.02676
Autor:
Assanioussi, Mehdi, Bahr, Benjamin
In this article we consider specific bivector geometries which arise in the large-spin limit of the extension of the Engle-Pereira-Rovelli-Livine spin foam model for quantum gravity by Kaminski, Kisielowski and Lewandowski. We address the implementat
Externí odkaz:
http://arxiv.org/abs/2005.12004
Autor:
Bahr, Benjamin
In this article we consider physical states in the hypercuboidal truncation of the EPRL-FK spin foam quantum gravity model. In particular, these states are defined on graphs which allow considering the entanglement entropy (EE) associated to the bipa
Externí odkaz:
http://arxiv.org/abs/1912.12216
Autor:
Bahr, Benjamin
In this article we consider non-convex $4d$ polytopes in $\mathbb{R}^4$. The paper consist of two parts: Firstly, we extend the proof of the formula for the $4d$ volume in terms of $2d$ face bivectors and boundary graph crossings from convex to non-c
Externí odkaz:
http://arxiv.org/abs/1812.10314
Autor:
Bahr, Benjamin
In this article we prove a formula for the volume of 4-dimensional polytopes, in terms of their face bivectors, and the crossings within their boundary graph. This proves that the volume is an invariant of bivector-coloured graphs in $S^3$.
Comm
Comm
Externí odkaz:
http://arxiv.org/abs/1808.09971