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Phases of the goldstone multitrace matrix model in the large-N limit

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Abstract

We consider the Goldstone Hermitian matrix model with a multitrace term. When defining the solution on two intervals, we introduce a special parameter ξ describing the phase. We discuss the phase existence conditions at ξ = 0 (or 1) and at ξ = 1/2. We calculate the propagator and the vacuum energy in the symmetric case ξ = 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.

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  1. Moscow State Industrial University, Moscow, Russia

    A. O. Shishanin

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  1. A. O. Shishanin
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Correspondence to A. O. Shishanin.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 3, pp. 457–465, September, 2007.

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Shishanin, A.O. Phases of the goldstone multitrace matrix model in the large-N limit. Theor Math Phys 152, 1258–1265 (2007). https://doi.org/10.1007/s11232-007-0110-4

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  • DOI: https://doi.org/10.1007/s11232-007-0110-4

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