The ΔI = 1/2 Rule and the Strong Coupling Expansion

• Main Author: Angus, Ian Gareth
• Format: Others
• Language: en
• Published: 1986
• Online Access: https://thesis.library.caltech.edu/11438/2/Angus_IG_1986.pdf; Angus, Ian Gareth (1986) The ΔI = 1/2 Rule and the Strong Coupling Expansion. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2188-5x19. https://resolver.caltech.edu/CaltechTHESIS:04032019-174006406 <https://resolver.caltech.edu/CaltechTHESIS:04032019-174006406>

<p>We will attempt to understand the <i>Delta I Equals One Half</i> pattern of the nonleptonic weak decays of the Kaons. The calculation scheme employed is the Strong Coupling Expansion of lattice QCD. Kogut-Susskind fermions are used in the Hamiltonian formalism. We will describe in detail the methods used to expedite this calculation, almost all of which was done by computer algebra.</p> <p>The final result is very encouraging. Even though an exact interpretation is clouded by the presence of irrelevant operators, a distinct signal of the <i>Delta I Equals One Half</i> is observed. With an appropriate choice of the one free parameter, enhancements as great as those observed experimentally can be obtained along with a qualitative prediction for the relative magnitudes of the CP violating phases.</p> <p>We also point out a number of surprising results which we turn up in the course of the calculation. The computer methods employed are briefly described.</p>