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Vector mesons as Regge poles in perturbation theory by P.G.O. Freund; R. Oehme is a Physics and Astronomy article available to read on EtoBox.

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A most interesting problem in quantum field theory is the question whether a particle introduced as a fixed pole in the lowest order of perturbation theory stays "elementary" or whether it becomes a member of a Regge trajectory if higher orders are included 1-3). It is the purpose of this note to show that vector mesons may become Regge particles in higher orders or renormalizable perturbation theory. It follows from the general notions of dispersion theory that bosons with spin larger than one must be described by moving poles 4). Perhaps it is characteristic that interactions involving such particles are not renormalizable. As far as the possibility of renormalization as well as the necessity of reggeization are concerned, the vector mesons are a boundar~ case. At present, an elementary vector meson ~'J cannot be completely excluded on the basis of general arguments. However, there are severe restrictions. In an earlier publication 2) we have shown that an elementary vector meson contribution like B(s)t to the high energy limit (t -. oo) of the elastic amplitude F(s, t) necessarily induces an imaginary term which corresponds to a singularity in the complex angular momentum plane

Who reads Vector mesons as Regge poles in perturbation theory?

Author

P.G.O. Freund; R. Oehme

Publisher

Elsevier Science; Elsevier ; North-Holland Publ Co; Elsevier BV (ISSN 0031-9163)

Published

1963

Language

EN

Field

Physics and Astronomy (Physical Sciences)