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The infrared behaviour of quantum chromodynamics


Crewther, David Philip (1978) The infrared behaviour of quantum chromodynamics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/JYNH-9286.


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The infrared properties of scattering matrix elements in Quantum Chromodynamics are studied from the point of view of finding a systematization of perturbation theory that goes beyond the actual order-by-order results. An integro-differential equation for the matrix elements of Quantum Chromodynamics is derived. It is shown (using the ghost-free gauges and an assumption that seems reasonable in those gauges) that all the infrared singularities arising in on mass-shell scattering amplitudes may be collected by a reorganization of the perturbation theory into the iteration of the sum of all insertions of a single gluon between the external states, where the coupling constant at the point of insertion is replaced by the effective coupling constant g(k[superscript 2]) where k is the momentum of the inserted gluon. It is also shown that colour-averaged cross-sections are finite in the infrared limit to all orders of perturbation theory in a fashion that resembles the low order results that have appeared in the literature.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:broken scale invariance; chiral symmetry; dilation; Goldstone bosons
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Mann, Murray Gell
Thesis Committee:
  • Unknown, Unknown
Defense Date:16 May 1978
Record Number:CaltechETD:etd-11102004-095345
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4485
Deposited By: Imported from ETD-db
Deposited On:11 Nov 2004
Last Modified:21 Dec 2019 02:29

Thesis Files

PDF (Crewther_dp_1978.pdf) - Final Version
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