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$q\overline{q}$ interaction in light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions
A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between static quarks. In the instantaneous formu...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
1997
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/S0550-3213(97)00346-5 https://dx.doi.org/10.1016/S0550-3213(97)00665-2 http://cds.cern.ch/record/327250 |
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author | Bassetto, A. Colferai, D. Nardelli, G. |
author_facet | Bassetto, A. Colferai, D. Nardelli, G. |
author_sort | Bassetto, A. |
collection | CERN |
description | A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between static quarks. In the instantaneous formulation we get Abelian-like exponentiation of the area in terms of $C_F$. In the ``causal'' formulation the loop depends not only on the area, but also on the dimensionless ratio $\beta = {L \over T}$, $2L$ and $2T$ being the lengths of the rectangular sides. Besides it also exhibits dependence on $C_A$. In the limit $T \to \infty$ the area law is recovered, but dependence on $C_A$ survives. Consequences of these results are pointed out. |
id | cern-327250 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1997 |
record_format | invenio |
spelling | cern-3272502019-09-30T06:29:59Zdoi:10.1016/S0550-3213(97)00346-5doi:10.1016/S0550-3213(97)00665-2http://cds.cern.ch/record/327250engBassetto, A.Colferai, D.Nardelli, G.$q\overline{q}$ interaction in light-cone gauge formulations of Yang-Mills theory in 1+1 dimensionsParticle Physics - TheoryA rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between static quarks. In the instantaneous formulation we get Abelian-like exponentiation of the area in terms of $C_F$. In the ``causal'' formulation the loop depends not only on the area, but also on the dimensionless ratio $\beta = {L \over T}$, $2L$ and $2T$ being the lengths of the rectangular sides. Besides it also exhibits dependence on $C_A$. In the limit $T \to \infty$ the area law is recovered, but dependence on $C_A$ survives. Consequences of these results are pointed out.A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions, with ``instantaneous'' and ``causal'' interactions between static quarks. In the instantaneous formulation we get Abelian-like exponentiation of the area in terms of $C_F$. In the ``causal'' formulation the loop depends not only on the area, but also on the dimensionless ratio $\beta = {L \over T}$, $2L$ and $2T$ being the lengths of the rectangular sides. Besides it also exhibits dependence on $C_A$. In the limit $T \to \infty$ the area law is recovered, but dependence on $C_A$ survives. Consequences of these results are pointed out.A rectangular Wilson loop with sides parallel to space and time directions is perturbatively evaluated in two light-cone gauge formulations of Yang-Mills theory in 1+ 1 dimensions, with “instantaneous” and “causal” interactions between static quarks. In the instantaneous formulation we get Abelian-like exponentiation of the area in terms of C F . In the “causal” formulation the loop depends not only on the area, but also on the dimensionless ratio β = L / T , 2 L and 2 T being the lengths of the rectangular sides. Besides it also exhibits dependence on C A . In the limit T → ∞ the area law is recovered, but dependence on C A survives. Consequences of these results are pointed out.hep-th/9706019CERN-TH-97-117CERN-TH-97-117oai:cds.cern.ch:3272501997-06-05 |
spellingShingle | Particle Physics - Theory Bassetto, A. Colferai, D. Nardelli, G. $q\overline{q}$ interaction in light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions |
title | $q\overline{q}$ interaction in light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions |
title_full | $q\overline{q}$ interaction in light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions |
title_fullStr | $q\overline{q}$ interaction in light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions |
title_full_unstemmed | $q\overline{q}$ interaction in light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions |
title_short | $q\overline{q}$ interaction in light-cone gauge formulations of Yang-Mills theory in 1+1 dimensions |
title_sort | $q\overline{q}$ interaction in light-cone gauge formulations of yang-mills theory in 1+1 dimensions |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1016/S0550-3213(97)00346-5 https://dx.doi.org/10.1016/S0550-3213(97)00665-2 http://cds.cern.ch/record/327250 |
work_keys_str_mv | AT bassettoa qoverlineqinteractioninlightconegaugeformulationsofyangmillstheoryin11dimensions AT colferaid qoverlineqinteractioninlightconegaugeformulationsofyangmillstheoryin11dimensions AT nardellig qoverlineqinteractioninlightconegaugeformulationsofyangmillstheoryin11dimensions |