To define the basic concepts, we consider a quantum field determined by a function space measure dµ defined on ℒ’. Assuming the axioms OS0-3 of Chapter 6.1, dµ can be decomposed into irreducible components dµ, called pure phases, each of which satisfies the axioms OS0-4. The pure phases are characterized by the property OS4 of a unique vacuum, and dµ is itself a pure phase if and only if its vacuum state is unique.
KeywordsIsing Model Order Phase Transition Positive Definite Function Unique Ground State Unique Vacuum
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