Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited

We obtain a formal solution of an integral equation for $q\bar q$ bound states, depending on a parameter \eta which interpolates between 't Hooft's expression for its spectrum for a particular value of the ratio of the coupling constant to the quark mass. The spectrum turns out to be in qu...

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Detalles Bibliográficos
Autores principales: Bassetto, A., Nardelli, G., Shuvaev, A.
Lenguaje:eng
Publicado: 1997
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(97)00207-1
http://cds.cern.ch/record/317819
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author Bassetto, A.
Nardelli, G.
Shuvaev, A.
author_facet Bassetto, A.
Nardelli, G.
Shuvaev, A.
author_sort Bassetto, A.
collection CERN
description We obtain a formal solution of an integral equation for $q\bar q$ bound states, depending on a parameter \eta which interpolates between 't Hooft's expression for its spectrum for a particular value of the ratio of the coupling constant to the quark mass. The spectrum turns out to be in qualitative agreement with 't Hooft's as long as \eta \neq 1. In the limit \eta=1 (Wu's case) the entire spectrum collapses to zero, in particular no rising Regge trajectories are found.
id cern-317819
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
record_format invenio
spelling cern-3178192023-03-14T17:18:15Zdoi:10.1016/S0550-3213(97)00207-1http://cds.cern.ch/record/317819engBassetto, A.Nardelli, G.Shuvaev, A.Two-dimensional Yang-Mills theory in the leading 1/N expansion revisitedParticle Physics - TheoryWe obtain a formal solution of an integral equation for $q\bar q$ bound states, depending on a parameter \eta which interpolates between 't Hooft's expression for its spectrum for a particular value of the ratio of the coupling constant to the quark mass. The spectrum turns out to be in qualitative agreement with 't Hooft's as long as \eta \neq 1. In the limit \eta=1 (Wu's case) the entire spectrum collapses to zero, in particular no rising Regge trajectories are found.We obtain a formal solution of an integral equation for $q\bar q$ bound states, depending on a parameter \eta which interpolates between 't Hooft's (\eta=0) and Wu's (\eta=1) equations. We also get an explicit approximate expression for its spectrum for a particular value of the ratio of the coupling constant to the quark mass. The spectrum turns out to be in qualitative agreement with 't Hooft's as long as \eta \neq 1. In the limit \eta=1 (Wu's case) the entire spectrum collapses to zero, in particular no rising Regge trajectories are found.We obtain a formal solution of an integral equation for q q bound states, depending on a parameter η which interpolates between 't Hooft's ( η = 0) and Wu's ( η = 1) equations. We also get an explicit approximate expression for its spectrum for a particular value of the ratio of the coupling constant to the quark mass. The spectrum turns out to be in qualitative agreement with 't Hooft's as long as η ≠ 1. In the limit η = 1 (Wu's case) the entire spectrum collapses to zero, in particular no rising Regge trajectories are found.hep-th/9701017CERN-TH-96-364CERN-TH-96-364oai:cds.cern.ch:3178191997-01-07
spellingShingle Particle Physics - Theory
Bassetto, A.
Nardelli, G.
Shuvaev, A.
Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited
title Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited
title_full Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited
title_fullStr Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited
title_full_unstemmed Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited
title_short Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited
title_sort two-dimensional yang-mills theory in the leading 1/n expansion revisited
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(97)00207-1
http://cds.cern.ch/record/317819
work_keys_str_mv AT bassettoa twodimensionalyangmillstheoryintheleading1nexpansionrevisited
AT nardellig twodimensionalyangmillstheoryintheleading1nexpansionrevisited
AT shuvaeva twodimensionalyangmillstheoryintheleading1nexpansionrevisited

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