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Title: The Schrödinger representation for ϕ⁴ theory and the O(N) σ-model
Author: Pachos, Jiannis
ISNI:       0000 0001 3462 6608
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 1996
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In this work we apply the field theoretical Schrodinger representation to the massive ϕ⁴ theory and the O(N) σ model in 1 + 1 dimensions. The Schrodinger equation for the ϕ⁴ theory is reviewed and then solved classically and semiclassically, to obtain the vacuum functional as an expansion of local functionals. These results are compared with equivalent ones derived from the path integral formulation to prove their agreement with the conventional field theoretical methods. For the O(N) a model we construct the functional Laplacian, which is the principal ingredient of the corresponding Schrodinger equation. This result is used to construct the generalised Virasoro operators for this model and study their algebra.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Theoretical physics