Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-12-05
Int.J.Mod.Phys.A10:1995-2014,1995
Physics
High Energy Physics
High Energy Physics - Theory
Invited talk presented at the Conference on New Problems in the General Theory of Fields and Particles of the International Co
Scientific paper
10.1142/S0217751X95000978
For gauge theories with confinement, the analytic structure of amplitudes is explored. It is shown that the analytic properties of physical amplitudes are the same as those obtained on the basis of an effective theory involving only the composite, physical fields. The corresponding proofs of dispersion relations remain valid. Anomalous thresholds are considered. They are related to the composite structure of particles. It is shown, that there are no such thresholds in physical amplitudes which are associated with confined constituents, like quarks and gluons in QCD. Unphysical amplitudes are considered briefly, using propagator functions as an example. For general, covariant, linear gauges, it is shown that these functions must have singularities at finite, real points, which may be associated with confined states.
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