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15 papers · 2 filters
NC Wilson lines and the inverse Seiberg-Witten map for nondegenerate star products
Wolfgang Behr, Andreas Sykora
Open Wilson lines are known to be the observables of noncommutative gauge theory with Moyal-Weyl star product. We generalize these objects to more general star products. As an appl…
Non-amenability and spontaneous symmetry breaking -- The hyperbolic spin-chain
Max Niedermaier, Erhard Seiler
The hyperbolic spin chain is used to elucidate the notion of spontaneous symmetry breaking for a non-amenable internal symmetry group, here SO(1,2). The noncompact symmetry is show…
Nonabelian Bundle Gerbes, their Differential Geometry and Gauge Theory
Paolo Aschieri, Luigi Cantini, Branislav Jurco
Bundle gerbes are a higher version of line bundles, we present nonabelian bundle gerbes as a higher version of principal bundles. Connection, curving, curvature and gauge transform…
Large N and Bethe ansatz
B. Jurco
We describe an integrable model, related to the Gaudin magnet, and its relation to the matrix model of Brezin, Itzykson, Parisi and Zuber. Relation is based on Bethe ansatz for the…
Hopf algebra structures in particle physics
Stefan Weinzierl
In the recent years, Hopf algebras have been introduced to describe certain combinatorial properties of quantum field theories. I will give a basic introduction to these algebras a…
A q-deformed Quantum Mechanics
Jian-zu Zhang
With a q-deformed quantum mechanical framework, features of the uncertainty relation and a novel formulation of the Schrödinger equation are considered.