17 citations · 82 across the 22 of their papers we have counts for
7 papers · 1 filter
Study of a lattice 2-group gauge model
Arkadiusz Bochniak, Leszek Hadasz, Piotr Korcyl +1
Gauge theories admit a generalisation in which the gauge group is replaced by a finer algebraic structure, known as a 2-group. The first model of this type is a Topological Quantum…
Bosonization of Majorana modes and edge states
Arkadiusz Bochniak, Błażej Ruba, Jacek Wosiek
We present a bosonization procedure which replaces fermions with generalized spin variables subject to local constraints. It requires that the number of Majorana modes per lattice…
Dynamics of a lattice 2-group gauge theory model
Arkadiusz Bochniak, Leszek Hadasz, Piotr Korcyl +1
We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are associated both to links…
Constraints of kinematic bosonization in two and higher dimensions
Arkadiusz Bochniak, Blazej Ruba, Jacek Wosiek +1
Contrary to the common wisdom, local bosonizations of fermionic systems exist in higher dimensions. Interestingly, resulting bosonic variables must satisfy local constraints of a g…
Simulations of gaussian systems in Minkowski time
Błażej Ruba, Jacek Wosiek
Many research programs aiming to deal with the sign problem were proposed since the advent of lattice field theory. Several of these try to achieve this by exploiting properties of…
Beyond Complex Langevin Equations: a Progress Report
Jacek Wosiek, Blazej Ruba
After a short review of one of proposals to avoid complex stochastic processes in Complex Langevin studies, the recent progress in the former is reported. In particular, the new de…
Explicit positive representation for weights on
Błażej Ruba, Adam Wyrzykowski
It is an old idea to replace averages of observables with respect to a complex weight by expectation values with respect to a genuine probability measure on complexified space. Thi…