Search
Search Results
-
-
Fuzzy scalar field theories
We review the formulation and properties of scalar field theories defined on fuzzy spaces. We go over the two most important features that caused by...
-
String modes, propagators and loops on fuzzy spaces
We present a systematic organization of functions and operators on the fuzzy 2-sphere in terms of string modes, which are optimally localized in...
-
A road to fuzzy physics
The paper is intended to develop intuition about noncommutative spaces in general, in particular to explain notions of continuity, differential...
-
The fuzzy BTZ
We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincaré coordinates together with a moving frame. The fuzzy BTZ...
-
Momentum-space entanglement in scalar field theory on fuzzy spheres
Quantum field theory defined on a noncommutative space is a useful toy model of quantum gravity and is known to have several intriguing properties,...
-
Batalin–Vilkovisky quantization of fuzzy field theories
We apply the modern Batalin–Vilkovisky quantization techniques of Costello and Gwilliam to noncommutative field theories in the finite-dimensional...
-
Structure of anisotropic fuzzy dark matter black holes
Building on the Einasto dark matter (DM) density parameterizations, this study explores the possibility of constructing DM black holes (BHs) within...
-
Beyond second-moment approximation in fuzzy-field-theory-like matrix models
We investigate the phase structure of a special class of multi-trace hermitian matrix models, which are candidates for the description of scalar...
-
Euclidean time approach to entanglement entropy on lattices and fuzzy spaces
In a recent letter, Phys. Lett. B 792 (2019) 60, we developed a novel Euclidean time approach to compute Rényi entanglement entropy on lattices and...
-
A fuzzy bipolar celestial sphere
We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our...
-
Second moment fuzzy-field-theory-like matrix models
We solve a multitrace matrix model approximating the real quartic scalar field theory on the fuzzy sphere and obtain its phase diagram. We generalize...
-
Fuzzy dark matter black holes and droplets
We consider the possibility of having Dark Matter (DM) black holes motivated by the Einasto density profile. This generalizes both the noncommutative...
-
Emergent area laws from entangled matrices
We consider a wavefunction of large N matrices supported close to an emergent classical fuzzy sphere geometry. The SU( N ) Gauss law of the theory...
-
Convergence of Spectral Triples on Fuzzy Tori to Spectral Triples on Quantum Tori
Fuzzy tori are finite dimensional C*-algebras endowed with an appropriate notion of noncommutative geometry inherited from an ergodic action of a...
-
Matrix entanglement
In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play important roles for the emergent geometry. In this paper, we...
-
Eigenvalue-flip** algorithm for matrix Monte Carlo
Many physical systems can be described in terms of matrix models that we often cannot solve analytically. Fortunately, they can be studied...