Classical corrections to instanton induced interactions
Aug, 199020 pages
Published in:
- Nucl.Phys.B 371 (1992) 637-658
Contribution to:
- Published: 1992
Report number:
- MPI-PAE-PTH-52-90,
- TPI-MINN-90-7-T
Citations per year
Abstract: (Elsevier)
We consider instanton-induced production of vector particles at high energies. In the leading-order approximation for n -particle cross sections the total cross section grows exponentially with energy and hits the unitarity bound at energy s of order ϱ −2 g −2 , where ϱ is the instanton size. The approximation implies in fact that smearing of the classical solution at short distances due to ϱ ≠ 0 is neglected, and we look for the effect of finite ϱ. We argue that the smearing of the classical solution can be reproduced in terms of quantum exchanges by combining instanton-induced vertices with ordinary perturbation theory. The first correction to the total cross section becomes of order unity at energy s of order ϱ −2 and does not have any extra factor g . Moreover, an exponential form factor can be derived under some conditions. However the form factor can stop the cross section growing only at energies of order ϱ −2 g −2 , where the approximations made are no longer valid.Note:
- Updated version of preprint TPI-MINN-90/7-T
- vector meson: production
- production: vector meson
- effect: instanton
- total cross section: high energy behavior
- high energy behavior: total cross section
- form factor
- perturbation theory: higher-order
- effect: finite size
- correction: classical
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