16 citations · 54 across the 10 of their papers we have counts for
11 papers
Topological Susceptibility of the 2d O(3) Model under Gradient Flow
Wolfgang Bietenholz, Philippe de Forcrand, Urs Gerber +2
The 2d O(3) model is widely used as a toy model for ferromagnetism and for Quantum Chromodynamics. With the latter it shares --- among other basic aspects --- the property that the…
Topological Susceptibility under Gradient Flow
Héctor Mejía-Díaz, Wolfgang Bietenholz, Krzysztof Cichy +4
We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility is measured directly, and by the slab…
Wave functions for three electrons in a magnetic field
H. Mejía-Díaz, D. J. Nader, J. Alvarez-Jiménez
This manuscript is in progress and the first version was removed by decision of the autors.
Interpreting Numerical Measurements in Fixed Topological Sectors
Wolfgang Bietenholz, Christopher Czaban, Arthur Dromard +4
For quantum field theories with topological sectors, Monte Carlo simulations on fine lattices tend to be obstructed by an extremely long auto-correlation time with respect to the t…
Combining ordinary and topological finite volume effects for fixed topology simulations
Arthur Dromard, Wolfgang Bietenholz, Urs Gerber +2
In lattice quantum field theories with topological sectors, simulations at fine lattice spacings --- with typical algorithms --- tend to freeze topologically. In such cases, specif…
Proposal for the Quantum Simulation of the CP(2) Model on Optical Lattices
Catherine Laflamme, Wynne Evans, Marcello Dalmonte +5
The 2d CP(N-1) models share a number of features with QCD, like asymptotic freedom, a dynamically generated mass gap and topological sectors. They have been formulated and analysed…
Simulations at fixed topology: fixed topology versus ordinary finite volume corrections
Arthur Dromard, Wolfgang Bietenholz, Urs Gerber +2
Lattice QCD simulations tend to get stuck in a single topological sector at fine lattice spacing, or when using chirally symmetric quarks. In such cases computed observables differ…
Measuring the Topological Susceptibility in a Fixed Sector
Irais Bautista, Wolfgang Bietenholz, Arthur Dromard +5
For field theories with a topological charge Q, it is often of interest to measure the topological susceptibility chi_t = ( < Q^2 > - < Q >^2 ) / V. If we manage to perform a Monte…
Extracting Physics from Topologically Frozen Markov Chains
Urs Gerber, Irais Bautista, Wolfgang Bietenholz +2
In Monte Carlo simulations with a local update algorithm, the auto-correlation with respect to the topological charge tends to become very long. In the extreme case one can only pe…
Scalar fields in a non-commutative space
Wolfgang Bietenholz, Frank Hofheinz, Héctor Mejía-Díaz +1
We discuss the lambda phi**4 model in 2- and 3-dimensional non-commutative spaces. The mapping onto a Hermitian matrix model enables its non-perturbative investigation by Monte Car…
Interpretation of topologically restricted measurements in lattice sigma-models
Irais Bautista, Wolfgang Bietenholz, Urs Gerber +3
We consider models with topological sectors, and difficulties with their Monte Carlo simulation. In particular we are concerned with the situation where a simulation has an extreme…