Year: 2016
Type: article
Abstract: A novel scenario for the emergence of geometry in random multitrace matrix models of a single Hermitian matrix $M$ with unitary $U(N)$ invariance, i.e. without a kinetic term, is presented. In particular, the dimension of the emergent geometry is determined from the critical exponents of the disorder-to-uniform-ordered transition, whereas the metric is determined from the Wigner semicircle law behavior of the eigenvalues distribution of the matrix $M$. If the uniform ordered phase is not sustained in the phase diagram, then there is no emergent geometry in the multitrace matrix model.
Institution: Badji Mokhtar-Annaba University
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2179118769