Research

Papers and Publications

Fuzzy onion as a matrix model
submitted to Phys. Rev. D.
arxiv
with Samuel Kováčik

Phase transitions in a $\Phi^4$ matrix model on a curved noncommutative space
International Journal of Modern Physics AVol. 38, No. 32, 2343002 (2023)
arxiv
with D. Prekrat, D. Ranković, N. K. Todorović-Vasović and S. Kováčik

Fuzzy scalar field theories
Eur. Phys. J. Spec. Top. 232, 3625-3636 (2023)
arxiv

On quarkonium masses in 3D non-commutative space
The European Physical Journal Plus, 138, 499, (2023)
arxiv
with Benedek Bukor

Towards removal of striped phase in matrix model description of fuzzy field theories
PoS CORFU2022 (2023) 310
arxiv
with M. Subjaková, D. Prekrat, D. Rankovic, N. K. Todorovic-Vasovic, S. Kováčik

The Fuzzy Onion: A Proposal
PoS CORFU2022 (2023) 312
arxiv
with Samuel Kováčik

Approximate treatment of noncommutative curvature in quartic matrix model
JHEP 01 (2023) 109
arxiv
with D. Prekrat, D. Ranković, N. K. Todorović-Vasović and S. Kováčik

String modes, propagators and loops on fuzzy spaces
JHEP 06 (2022) 136
arxiv
with Harold Steinacker

Eigenvalue-flipping algorithm for matrix Monte-Carlo
JHEP 04 (2022) 149
arxiv
with Samuel Kováčik

Beyond second-moment approximation in fuzzy-field-theory-like matrix models
JHEP 02 (2022) 065
arxiv
with Mária Šubjaková

Fuzzy field theories and related matrix models
PoS CORFU2019 (2020) 189
arxiv
with Mária Šubjaková

Multitrace matrix models of fuzzy field theories
PoS CORFU2019 (2020) 234
arxiv
with Mária Šubjaková

Second moment fuzzy-field-theory-like matrix models
J. High Energ. Phys. 2020, 88 (2020)
arxiv
with Mária Šubjaková

Matrix Models of Fuzzy Field Theories
PoS CORFU2017 (2018) 144
arxiv
with Mária Šubjaková

Asymmetric hermitian matrix models and fuzzy field theory
Phys.Rev. D97 (2018) no.12, 125018
arxiv

Phase diagram of scalar field theory on fuzzy sphere and multitrace matrix models
PoS CORFU2015 (2016) 123
arxiv

Phase Strucutre of Fuzzy Field Theories and Multitrace Matrix Models
Acta Physica Slovaca 65, No.5, 369 - 468 (2015)
arxiv

Matrix model approximations of fuzzy scalar field theories and their phase diagrams
JHEP12 (2015) 176
arxiv

Uniform order phase and phase diagram of scalar field theory on fuzzy CPn
JHEP10 (2014) 144
arxiv

The Isospin Asymmetry in Anomalous Fluid Dynamics
Phys. Rev. D 88, 085025 (2013)
arxiv
with D. Capasso and V.P. Nair

Random matrix approach to scalar fields on fuzzy spaces
Phys. Rev. D 87, 085015 (2013)
arxiv

Approximation of distributions and approximating the K-distribution
Proc. ECUA 2012 (34), Vol. 1 331 (2012)
pdf
with Leon Cohen

Constructing and Estimating Probability Distributions from Moments
Proc. SPIE Vol. 8391, 83910E (2012)
pdf
with Leon Cohen

Fuzzy Spaces and New Matrix Ensembles
Phys. Rev. D 85, 045021 (2012)
arxiv
with V.P. Nair. and A.P. Polychronakos

Transformation of Time Dependent Probability Distributions
Proc. SPIE Vol. 7335, 733505 (2009)
pdf
with Leon Cohen


Contact Me

  • Office: F2 136
  • Adress: KTF, FMFI UK, Mlynska Dolina, 842 48 Bratislava, Slovakia
  • Email: tekel@fmph.uniba.sk