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Title: On P(φ)_2 interactions at positive temperature
Author: Robl, Florian
ISNI:       0000 0004 2733 3518
Awarding Body: Cardiff University
Current Institution: Cardiff University
Date of Award: 2012
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The Schwinger functions of the thermal P (φ)2 model on the real line and the vacuum P (φ)2 model on the circle are equal up to interpretation of their time and space coordinates. This is called Nelson symmetry. In the present work this correspondence is exploited to construct and prove results for the thermal P (φ)2 model. The results are existence of the thermal Wightman functions, the relativistic KMS condition, verification of the Wightman axioms and spatial exponential decay. A H ̈lder inequality for general KMS states is proven, employing non-commutative o Lp -spaces. This inequality is key in the proof of the existence of the thermal Wightman functions. For the vacuum P (φ)2 model on the circle a version of the Glimm-Jaffe φ-bound is proven. Furthermore the K ̈ll ́n-Lehmann representation for general vacuum two-point a e functions are proven and general facts about the damping factor are established. The consequences for the damping factor in the thermal case are briefly discussed.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics