Lattice Quantum Field Theory (of Matrix Models)- Update I

Abstract

We attempt to systematically develop the matrix-model/quantum-theory correspondence by working out explicitly various non-trivial examples.

Semester

Fall 2019-2020

Level

Master II, Theoretical Physics, Badji-Mokhtar Annaba University.
Simulations

Simulation I- The Lattice $\Phi_2^4$.

Simulation II- Quartic Matrix Model: 
Monte Carlo results: tests_multitrace.pdf 
main code: matrix_four.f
eigenvalues sorting: eigen-sorting.f  
eigenvalues histogram: eigen-histogram.f 
Note: Results are obtained by one of our students.

Simulation III- Large number of dimensions of the BFSS Matrix Model: In progress

Background

Lattice QFT (of Matrix Models) 
Phases of gauge theory in lower dimensions and the black-hole/black-string transition