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Constructive renormalisation for noncommutative quantum field theory

open access: yes, 2011
The main subject of this thesis is about a new method of constructive renormalization theory, called the Loop vertex expansion (LVE). Constructive renormalization theory is to study the nonperturbative properties of Euclidean quantum field theory. The traditional methods are cluster/Mayer expansions and the renormalization group analysis.
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