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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:
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(97)00207-1
http://cds.cern.ch/record/317819
Descripción
Sumario: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.