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Title: Integrable boundary flows and the g-function
Author: Wilbourne, Ruth Margaret
ISNI:       0000 0004 2720 7319
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 2012
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This thesis explores renormalisation group flows in integrable quantum field theories with boundaries, as described by the g-function. The main focus is on the g-function in the staircase model, the renormalisation group flow of which passes close to the unitary minimal models. This g-function is used to identify flows between boundary conditions both within and between the minimal models. In certain limits the $\mathcal{M}A_m {(+)}$ theories which interpolate between pairs of minimal models emerge from the staircase model, and exact expressions for the g-function in these models are extracted from the staircase g-function. Perturbative tests on the $\mathcal{M}A_4 {(+)}$ g-function are discussed, as is initial work on the g-function for the $\mathcal{M}A_4 {(-)}$ theory, which describes flows that emerge when the bulk coupling is taken to have the opposite sign to that in $\mathcal{M}A_4 {(+)}$. Expressions are also found for excited state versions of the $\mathcal{M}A_m {(+)}$ g-function, and these allow the unique identification of certain boundary flows.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available