Cargando…
Gribov horizon and i-particles: about a toy model and the construction of physical operators
Restricting the functional integral to the Gribov region $\Omega$ leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, $\frac{k^2}{k^4+{\hat \gamma}^4}$, can be viewed as a propagating pair of unphys...
Autores principales: | , , , , , , |
---|---|
Lenguaje: | eng |
Publicado: |
2009
|
Materias: | |
Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.82.025021 http://cds.cern.ch/record/1231031 |
_version_ | 1780918474801938432 |
---|---|
author | Baulieu, L. Dudal, D. Guimaraes, M.S. Huber, M.Q. Sorella, S.P. Vandersickel, N. Zwanziger, D. |
author_facet | Baulieu, L. Dudal, D. Guimaraes, M.S. Huber, M.Q. Sorella, S.P. Vandersickel, N. Zwanziger, D. |
author_sort | Baulieu, L. |
collection | CERN |
description | Restricting the functional integral to the Gribov region $\Omega$ leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, $\frac{k^2}{k^4+{\hat \gamma}^4}$, can be viewed as a propagating pair of unphysical modes, called here $i$-particles, with imaginary masses $\pm i{\hat \gamma}^2$. From this viewpoint, gluons are unphysical and one can see them as being confined. We introduce a simple toy model describing how a suitable set of composite operators can be constructed out of $i$-particles whose correlation functions exhibit only real branch cuts, with associated positive spectral density. These composite operators can thus be called physical and are the toy analogy of glueballs in the Gribov-Zwanziger theory. |
id | cern-1231031 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2009 |
record_format | invenio |
spelling | cern-12310312023-03-14T19:44:11Zdoi:10.1103/PhysRevD.82.025021http://cds.cern.ch/record/1231031engBaulieu, L.Dudal, D.Guimaraes, M.S.Huber, M.Q.Sorella, S.P.Vandersickel, N.Zwanziger, D.Gribov horizon and i-particles: about a toy model and the construction of physical operatorsParticle Physics - TheoryRestricting the functional integral to the Gribov region $\Omega$ leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, $\frac{k^2}{k^4+{\hat \gamma}^4}$, can be viewed as a propagating pair of unphysical modes, called here $i$-particles, with imaginary masses $\pm i{\hat \gamma}^2$. From this viewpoint, gluons are unphysical and one can see them as being confined. We introduce a simple toy model describing how a suitable set of composite operators can be constructed out of $i$-particles whose correlation functions exhibit only real branch cuts, with associated positive spectral density. These composite operators can thus be called physical and are the toy analogy of glueballs in the Gribov-Zwanziger theory.Restricting the functional integral to the Gribov region $\Omega$ leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gluon propagator of the Gribov type, $\frac{k^2}{k^4+{\hat \gamma}^4}$, can be viewed as a propagating pair of unphysical modes, called here $i$-particles, with complex masses $\pm i{\hat \gamma}^2$. From this viewpoint, gluons are unphysical and one can see them as being confined. We introduce a simple toy model describing how a suitable set of composite operators can be constructed out of $i$-particles whose correlation functions exhibit only real branch cuts, with associated positive spectral density. These composite operators can thus be called physical and are the toy analogy of glueballs in the Gribov-Zwanziger theory.arXiv:0912.5153oai:cds.cern.ch:12310312009-12-31 |
spellingShingle | Particle Physics - Theory Baulieu, L. Dudal, D. Guimaraes, M.S. Huber, M.Q. Sorella, S.P. Vandersickel, N. Zwanziger, D. Gribov horizon and i-particles: about a toy model and the construction of physical operators |
title | Gribov horizon and i-particles: about a toy model and the construction of physical operators |
title_full | Gribov horizon and i-particles: about a toy model and the construction of physical operators |
title_fullStr | Gribov horizon and i-particles: about a toy model and the construction of physical operators |
title_full_unstemmed | Gribov horizon and i-particles: about a toy model and the construction of physical operators |
title_short | Gribov horizon and i-particles: about a toy model and the construction of physical operators |
title_sort | gribov horizon and i-particles: about a toy model and the construction of physical operators |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1103/PhysRevD.82.025021 http://cds.cern.ch/record/1231031 |
work_keys_str_mv | AT baulieul gribovhorizonandiparticlesaboutatoymodelandtheconstructionofphysicaloperators AT dudald gribovhorizonandiparticlesaboutatoymodelandtheconstructionofphysicaloperators AT guimaraesms gribovhorizonandiparticlesaboutatoymodelandtheconstructionofphysicaloperators AT hubermq gribovhorizonandiparticlesaboutatoymodelandtheconstructionofphysicaloperators AT sorellasp gribovhorizonandiparticlesaboutatoymodelandtheconstructionofphysicaloperators AT vandersickeln gribovhorizonandiparticlesaboutatoymodelandtheconstructionofphysicaloperators AT zwanzigerd gribovhorizonandiparticlesaboutatoymodelandtheconstructionofphysicaloperators |