We obtain a formal solution of an integral equation for qqˉ 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.

Nardelli, G., Bassetto, A., Shuvaev, A., Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited, <<NUCLEAR PHYSICS. B>>, 1997; 1997 (495): 451-460. [doi:http://dx.doi.org/10.1016/S0550-3213(97)00207-1] [http://hdl.handle.net/10807/8601]

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

Nardelli, Giuseppe;Bassetto, Antonio;
1997

Abstract

We obtain a formal solution of an integral equation for qqˉ 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.
1997
Inglese
Nardelli, G., Bassetto, A., Shuvaev, A., Two-dimensional Yang-Mills theory in the leading 1/N expansion revisited, <<NUCLEAR PHYSICS. B>>, 1997; 1997 (495): 451-460. [doi:http://dx.doi.org/10.1016/S0550-3213(97)00207-1] [http://hdl.handle.net/10807/8601]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/8601
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