91 citations · 228 across the 10 of their papers we have counts for
10 papers
General-relativistic spin system
Danilo Artigas, Jakub Bilski, Sean Crowe +2
The models of spin systems defined on Euclidean space provide powerful machinery for studying a broad range of condensed matter phenomena. While the non-relativistic effective desc…
Towards the map of quantum gravity
Jakub Mielczarek, Tomasz Trześniewski
In this paper we point out some possible links between different approaches to quantum gravity and theories of the Planck scale physics. In particular, connections between Loop Qua…
The Nonlinear Field Space Theory
Jakub Mielczarek, Tomasz Trzesniewski
In recent years the idea that not only the configuration space of particles, i.e. spacetime, but also the corresponding momentum space may have nontrivial geometry has attracted si…
Three-dimensional gravity and deformations of relativistic symmetries
T. Trzesniewski
It is possible that relativistic symmetries become deformed in the semiclassical regime of quantum gravity. Mathematically, such deformations lead to the noncommutativity of spacet…
Spacetime defects and group momentum space
Michele Arzano, Tomasz Trzesniewski
We study massive and massless conical defects in Minkowski and de Sitter spaces in various spacetime dimensions. The energy-momentum of a defect, considered as an (extended) relati…
Deformed Carroll particle from 2+1 gravity
J. Kowalski-Glikman, T. Trzesniewski
We consider a point particle coupled to 2+1 gravity, with de Sitter gauge group SO(3,1). We observe that there are two contraction limits of the gauge group: one resulting in the P…
Diffusion on -Minkowski space
Michele Arzano, Tomasz Trzesniewski
We study the spectral dimension associated with diffusion processes on Euclidean -Minkowski space. We start by describing a geometric construction of the "Euclidean" momentum gr…
Beyond Fock space in three dimensional semiclassical gravity
Michele Arzano, Jerzy Kowalski-Glikman, Tomasz Trzesniewski
Quantization of relativistic point particles coupled to three-dimensional Einstein gravity naturally leads to field theories living on the Lorentz group in their momentum represent…
Analysis of the Semiclassical Solution of CDT
T. Trzesniewski
Causal dynamical triangulations (CDT) constitute a background independent, nonperturbative approach to quantum gravity, in which the gravitational path integral is approximated by…
The Semiclassical Limit of Causal Dynamical Triangulations
J. Ambjorn, A. Gorlich, J. Jurkiewicz +3
Previous work has shown that the macroscopic structure of the theory of quantum gravity defined by causal dynamical triangulations (CDT) is compatible with that of a de Sitter univ…