Geodesic
Phases of the Goldstone multitrace matrix model in the large-$N$ limit
Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 3, pp. 457-465 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Goldstone Hermitian matrix model with a multitrace term. When defining the solution on two intervals, we introduce a special parameter $\xi$ describing the phase. We discuss the phase existence conditions at $\xi=0$ (or $1$) and at $\xi=1/2$. We calculate the propagator and the vacuum energy in the symmetric case $\xi=1/2$. In the general case, we discuss the solution structure and calculate the magnetization and other parameters expressed in terms of the sum of all the intervals.
Keywords: planar approximation, Hermitian matrix model, multicut solution.
Mots-clés : multitrace term 
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A. O. Shishanin. Phases of the Goldstone multitrace matrix model in the large-$N$ limit. Teoretičeskaâ i matematičeskaâ fizika, Tome 152 (2007) no. 3, pp. 457-465. http://geodesic.mathdoc.fr/item/TMF_2007_152_3_a3/

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