Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Tekel, Juraj"'
Autor:
Bukor, Benedek, Tekel, Juraj
We analyze multitrace random matrix models with the help of the saddle point approximation. We introduce an interaction multitrace term of type $-c_1c_3$ to the action. Not only do we unveil the numerical phase diagram of the model, but we find the t
Externí odkaz:
http://arxiv.org/abs/2407.20014
In our previous contribution, we introduced a matrix formulation of a three-dimensional quantum space named the fuzzy onion. The novel part of the construction is the radial derivative term, which has been defined to recover the correct continuum lim
Externí odkaz:
http://arxiv.org/abs/2405.12393
Autor:
Prekrat, Dragan, Ranković, Dragana, Todorović-Vasović, Neli Kristina, Kováčik, Samuel, Tekel, Juraj
In this contribution, we summarize our recent studies of the phase structure of the Grosse-Wulkenhaar model and its connection to renormalizability. Its action contains a special term that couples the field to the curvature of the noncommutative back
Externí odkaz:
http://arxiv.org/abs/2310.10794
Autor:
Kováčik, Samuel, Tekel, Juraj
We propose a matrix model realisation of a three-dimensional quantum space. It has an onion-like structure composed of concentric fuzzy spheres of increasing radius. The angular part of the Laplace operator is inherited from that of the fuzzy sphere.
Externí odkaz:
http://arxiv.org/abs/2309.00576
Autor:
Bukor, Benedek, Tekel, Juraj
We modify the calculation of quarkonium masses using the radial WKB and Pekeris-type approximations for the case of three-dimensional, rotationally invariant non-commutative space. We obtain corrections to the charmonium ($\text{c}\bar{\text{c}}$), b
Externí odkaz:
http://arxiv.org/abs/2209.09028
Autor:
Kováčik, Samuel, Tekel, Juraj
Many physical systems can be described in terms of matrix models that we often cannot solve analytically. Fortunately, they can be studied numerically in a straightforward way. Many commonly used algorithms follow the Monte Carlo method, which is eff
Externí odkaz:
http://arxiv.org/abs/2203.05422
Autor:
Steinacker, Harold C., Tekel, Juraj
We present a systematic organization of functions and operators on the fuzzy 2-sphere in terms of string modes, which are optimally localized in position and momentum space. This allows to separate the semi-classical and the deep quantum regime of no
Externí odkaz:
http://arxiv.org/abs/2203.02376
Autor:
Šubjaková, Mária, Tekel, Juraj
Publikováno v:
J. High Energ. Phys. 2022, 65 (2022)
We investigate the phase structure of a special class of multi-trace hermitian matrix models, which are candidates for the description of scalar field theory on fuzzy spaces. We include up to the fourth moment of the eigenvalue distribution into the
Externí odkaz:
http://arxiv.org/abs/2109.03363
Autor:
Šubjaková, Mária, Tekel, Juraj
We review analytical approaches to scalar field theory on fuzzy spaces. We briefly outline the matrix description of these theories and describe various approximations to the relevant matrix model. We discuss the challenge of obtaining a consistent a
Externí odkaz:
http://arxiv.org/abs/2006.13577
Autor:
Šubjaková, Mária, Tekel, Juraj
We review the description of scalar field theories on fuzzy spaces by Hermitian random matrix models. After reminding the reader of the relevant aspects of the random matrix theory and construction of the fuzzy spaces, we summarize the most important
Externí odkaz:
http://arxiv.org/abs/2006.12605