329 citations · 1.3k across the 48 of their papers we have counts for
6 papers · 1 filter
On non-trivial spectra of trivial gauge theories
Piotr Korcyl, Mateusz Koren, Jacek Wosiek
In this Letter we point out that the analytic solution of the two dimensional U(1) gauge theory, on a finite lattice, reveals in the continuum limit the renowned Manton's spectrum…
Analytic calculation of Witten index in D=2 supersymmetric Yang-Mills quantum mechanics
Piotr Korcyl
We propose a method for the evaluation of Witten index in D=2 supersymmetric Yang-Mills quantum mechanics. We rederive a known result for the SU(2) gauge group and generalize it to…
Recursive approach to supersymmetric quantum mechanics for arbitrary fermion occupation number
Piotr Korcyl
We present in details a numerical approach for solving supersymmetric quantum mechanical systems with a gauge symmetry valid in all fermionic sectors. The method uses a recursive a…
Exact solutions to D=2 Supersymmetric Yang-Mills Quantum Mechanics with SU(3) gauge group
Piotr Korcyl
In this article we present the cut Fock space approach to the D=d+1=2, Supersymmetric Yang-Mills Quantum Mechanics (SYMQM). We start by briefly introducing the main features of the…
Detailed study of a transition point in the Veneziano-Wosiek model of Planar Quantum Mechanics
Piotr Korcyl
Following a model recently investigated by Veneziano and Wosiek we briefly introduce Planar Quantum Mechanics (PQM). Then, we present high precision numerical results in the sector…
Classical trajectories and quantum supersymmetry
Piotr Korcyl
We analyze a supersymmetric system with four flat directions. We observe several interesting properties, such as the coexistence of the discrete and continuous spectrum in the same…