Abstract
A nonperturbative technique for the calculation of the cross section for hadron production in electron-positron annihilation is considered. It is a combination of Lanczos tridiagonalization and recursion used previously by others for calculations of local densities of states that arise in condensed-matter physics. The primary advantage of the technique is that computation of the full spectrum is not required; this can reduce the computing time significantly. The steps by which the approach can be applied to hadron-production calculations are explored. As an illustration, the method is applied to a model process in 1+1 dimensions; however, the approach could be used for (3+1)-dimensional processes, including those governed by quantum chromodynamics.
Original language | English (US) |
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Pages (from-to) | 2418-2424 |
Number of pages | 7 |
Journal | Physical Review D |
Volume | 43 |
Issue number | 7 |
DOIs | |
State | Published - 1991 |
Externally published | Yes |