Citation
Bijnens, Johan Lambert (1985) Chiral Perturbation Theory and the Weak Interaction. Dissertation (Ph.D.), California Institute of Technology. https://resolver.caltech.edu/CaltechTHESIS:08042017160047213
Abstract
We study the interface between the standard sixquark model and the observed lowenergy weak phenomena. The main processes discussed are weak decays of kaons and hyperons. We study first the lowenergy effective weak Hamiltonian at the quark level. This is derived using the renormalization group in leading logarithmic approximation.
Then some properties of this effective weak Hamiltonian that can be derived using chiral perturbation theory are studied. A review of chiral perturbation theory is included.
This formalism is used to study the relation between K̅^{0}K^{0} mixing and a ΔI = 3/2 decay. We find that the logarithmic corrections to this relation are large, making it unreliable. The same formalism is used to discuss a relation between Kππ, Kπ and Kvacuum matrix elements used in most attempts to compute the Kππ matrix element relevant for the ΔI = 1/2 rule. The domain of validity of this relation is determined.
A review of inclusion of baryons in chiral perturbation theory is given and oneloop corrections to the GellMannOkubo relation; semileptonic hyperon decays and nonleptonic S and P wave decays are calculated. All corrections are small except the nonleptonic P wave decays and one S wave decay. The corrections to the LeeSugawara relation are large as a consequence of the latter.
Some predictions beyond chiral perturbation theory can be made within the soliton model of baryons. F/D ratios are predicted for hyperon magnetic moments, semileptonic decays and nonleptonic S wave decays in this model.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  Physics 
Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Physics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Group:  Caltech Theory 
Thesis Committee: 

Defense Date:  20 May 1985 
Record Number:  CaltechTHESIS:08042017160047213 
Persistent URL:  https://resolver.caltech.edu/CaltechTHESIS:08042017160047213 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  10363 
Collection:  CaltechTHESIS 
Deposited By:  Benjamin Perez 
Deposited On:  07 Aug 2017 21:35 
Last Modified:  02 Dec 2020 01:32 
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