5 papers · 1 filter
Triple Point of a Scalar Field Theory on a Fuzzy Sphere
Samuel Kováčik, Denjoe O'Connor
The model of a scalar field with quartic self-interaction on the fuzzy sphere has three known phases: a uniformly ordered phase, a disordered phase and a non-uniformly ordered phas…
The non-perturbative phase diagram of the BMN matrix model
Yuhma Asano, Veselin G. Filev, Samuel Kováčik +1
We study the maximally supersymmetric plane wave matrix model (the BMN model) at finite temperature, , and locate the high temperature phase boundary in the plane, where…
Magnetic Monopoles in (Noncommutative) Quantum Mechanics
Samuel Kováčik, Peter Prešnajder
We utilize the close relation between the complex space and the real space to reformulate quantum mechanics in a manner which allows to, either or bot…
Alternative Description of Magnetic Monopoles in Quantum Mechanics
Samuel Kováčik, Peter Prešnajder
We present an alternative description of magnetic monopoles by lifting quantum mechanics from 3-dimensional space into a one with 2 complex dimensions. Magnetic monopoles are reali…
Magnetic monopoles in noncommutative quantum mechanics 2
Samuel Kováčik, Peter Prešnajder
In this paper we extend the analysis of magnetic monopoles in quantum mechanics in three dimensional rotationally invariant noncommutative space . We construct the…