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

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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 
@article{TMF_2007_152_3_a3,
     author = {A. O. Shishanin},
     title = {Phases of {the~Goldstone} multitrace matrix model in the~large-$N$ limit},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {457--465},
     publisher = {mathdoc},
     volume = {152},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_152_3_a3/}
}
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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/