Abstract
In this work, the independent particle model formulation is studied as a mean-field approximation of gauge theories using the path integral approach in the framework of quantum electrodynamics in 1+1 dimensions. It is shown how a mean-field approximation scheme can be applied to fit an effective potential to an independent particle model, building a straightforward relation between the model and the associated gauge field theory. An example is made considering the problem of massive Dirac fermions on a line, the so called massive Schwinger model. An interesting result is found, indicating a behaviour of screening of the charges in the relativistic limit of strong coupling. A forthcoming application of the method developed to confining potentials in independent quark models for QCD is in view and is briefly discussed. (author).
Citation Formats
Palladino, B E.
On the independent particle approximation of Gauge theories: a simple example.
Brazil: N. p.,
1992.
Web.
Palladino, B E.
On the independent particle approximation of Gauge theories: a simple example.
Brazil.
Palladino, B E.
1992.
"On the independent particle approximation of Gauge theories: a simple example."
Brazil.
@misc{etde_10109099,
title = {On the independent particle approximation of Gauge theories: a simple example}
author = {Palladino, B E}
abstractNote = {In this work, the independent particle model formulation is studied as a mean-field approximation of gauge theories using the path integral approach in the framework of quantum electrodynamics in 1+1 dimensions. It is shown how a mean-field approximation scheme can be applied to fit an effective potential to an independent particle model, building a straightforward relation between the model and the associated gauge field theory. An example is made considering the problem of massive Dirac fermions on a line, the so called massive Schwinger model. An interesting result is found, indicating a behaviour of screening of the charges in the relativistic limit of strong coupling. A forthcoming application of the method developed to confining potentials in independent quark models for QCD is in view and is briefly discussed. (author).}
place = {Brazil}
year = {1992}
month = {Aug}
}
title = {On the independent particle approximation of Gauge theories: a simple example}
author = {Palladino, B E}
abstractNote = {In this work, the independent particle model formulation is studied as a mean-field approximation of gauge theories using the path integral approach in the framework of quantum electrodynamics in 1+1 dimensions. It is shown how a mean-field approximation scheme can be applied to fit an effective potential to an independent particle model, building a straightforward relation between the model and the associated gauge field theory. An example is made considering the problem of massive Dirac fermions on a line, the so called massive Schwinger model. An interesting result is found, indicating a behaviour of screening of the charges in the relativistic limit of strong coupling. A forthcoming application of the method developed to confining potentials in independent quark models for QCD is in view and is briefly discussed. (author).}
place = {Brazil}
year = {1992}
month = {Aug}
}