62 citations · 250 across the 7 of their papers we have counts for
7 papers
A note on gauge systems from the point of view of Lie algebroids
Glenn Barnich
In the context of the variational bi-complex, we re-explain that irreducible gauge systems define a particular example of a Lie algebroid. This is used to review some recent and no…
A Poincare lemma for sigma models of AKSZ type
Glenn Barnich, Maxim Grigoriev
For a sigma model of AKSZ-type, we show that the local BRST cohomology is isomorphic to the cohomology of the target space differential when restricted to coordinate neighborhoods…
Parent form for higher spin fields on anti-de Sitter space
Glenn Barnich, Maxim Grigoriev
We construct a first order parent field theory for free higher spin gauge fields on constant curvature spaces. As in the previously considered flat case, both Fronsdal's and Vasili…
Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories
Glenn Barnich, Maxim Grigoriev
Gauge theories that have been first quantized using the Hamiltonian BRST operator formalism are described as classical Hamiltonian BRST systems with a BRST charge of the form <Ψ,ΩΨ…
Seiberg-Witten maps in the context of the antifield formalism
G. Barnich, F. Brandt, M. Grigoriev
The formulation of Seiberg-Witten maps from the point of view of consistent deformations of gauge theories in the context of the Batalin-Vilkovisky antifield formalism is reviewed.…
Gauge dependence of effective action and renormalization group functions in effective gauge theories
G. Barnich, P. A. Grassi
The Caswell-Wilczek analysis on the gauge dependence of the effective action and the renormalization group functions in Yang-Mills theories is generalized to generic, possibly powe…