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Title: Some problems on the renormalisation of non-polynomial Lagrangians
Author: Daniel, M.
ISNI:       0000 0001 3403 7387
Awarding Body: University of Oxford
Current Institution: University of Oxford
Date of Award: 1972
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A method of analytic renormalisation is developed (in PART I of the thesis) to define the three point time ordered product of massless fields of exponential type as a strictly localisable distribution in the Jaffe Class. The uniqueness property, known for the two point T-product, is verified for the three point T-product for a special choice of finite renormalisation. It is characterised by minimum singularity on the 'light cone' (the Lehraann-Pohlmeyer 'ansatz'); there are no delta function type singularities concentrated on the point x1 = x2 = x3. A model of a massive neutral pseudovector field, Wμ, coupled to a non-conserved fermion current, jμ = ψγμγ5ψ, is considered (in PART II of the thesis). The generalised Stuckelberg formalism is used to convert the above non-renormalisable coupling into a conventionally renormalisable interaction, together with a non-polynomial strictly localisable interaction which can be treated by the methods developed in PART I of this thesis; (Aμ, B) are the Stuckelberg components of the Wμ field, and the B is taken to be a massless pseudoscalar field giving, thus, rise to massless 'superpropagators'. The renormalisation of the model theory is effected with the help of generalised Ward-Takahashi identities by adding suitable gauge invariant counterterms in the original interaction Lagrangian to cancel out the infinities of the theory. Thus the complete theory becomes renormalisable.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available