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Article
Open AccessPhase structure and the gluon propagator of SU(2) gauge-Higgs model in two dimensions
We study numerically the phase structure and the gluon propagator of the SU(2) gauge-Higgs model in two dimensions. First, we calculate gauge-invariant quantities, in particular the static potential from Wilso...
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Article
Open AccessInfrared saturation and phases of gauge theories with BRST symmetry
We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta ...
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Article
Truncating First-Order Dyson–Schwinger Equations in Coulomb Gauge Yang–Mills Theory
The non-perturbative domain of QCD contains confinement, chiral symmetry breaking, and the bound state spectrum. For the calculation of the latter, the Coulomb gauge is particularly well-suited. Access to thes...
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Chapter
Continuum and Lattice Coulomb-Gauge Hamiltonian
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Article
Every gauge orbit passes inside the Gribov horizon
TheL 2 topology is introduced on the space of gauge connectionsA and a natural topology is introduced on the group of local gauge transformationsGT. It is shown that the map**GT×A→A defined byA→A g=g*Ag+g*dg is...
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Chapter
All Gauge Orbits and Some Gribov Copies Encompassed by the Gribov Horizon
An open but fundamental question in gauge theory is “What is the physical configuration space?” or, in mathematical language, “What is the gauge orbit space?” or yet again, “What is a fundamental modular regio...
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Chapter
Stochastic Quantization of Gauge Fields
Stochastic quantization of gauge fields is reviewed, with particular attention to the mechanism by which stochastic gauge-fixing resolves the Gribov ambiguity, and the light which this casts on the geometry of...
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Article
Bringing physics to life
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Chapter and Conference Paper
Method of characteristics in the external field problem or How to recognize an acausal equation when you see one