O(N) Vector Models in the Limit $g \rightarrow g_c $ and Finite Temperature

Physics – High Energy Physics – High Energy Physics - Theory

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(Summary of a talk at Banff Workshope) (5 pages)

Scientific paper

In the limit where $N\to\infty$ and the coupling constant $g \to g_{c}$ in a correlated manner, O(N) symmetric vector models represent filamentary surfaces. The purpose of these studies is to gain intuition for the long lasting search for a possible description of quantum field theory in terms of extended objects. It is shown here that a certain limiting procedure has to be followed in order to avoid several difficulties in establishing the theory at a critical negative coupling constant. It is also argued that at finite temperature a certain metastable-false vacuum disappears as the temperature is increased.

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