# Towards the matrix model of M-theory on a lattice

@article{Janik2000TowardsTM, title={Towards the matrix model of M-theory on a lattice}, author={Romuald A. Janik and J. Wosiek CEA-Saclay and Jagellonian University and Cracow}, journal={arXiv: High Energy Physics - Theory}, year={2000} }

The Wilson discretization of the dimensionally reduced supersymmetric Yang-Mills theory is constructed. This gives a lattice version of the matrix model of M-theory. An SU(2) model is studied numerically in the quenched approximation for D=4. The system shows canonical scaling in the continuum limit. A clear signal for a prototype of the "black hole to strings" phase transition is found. The pseudocritical temperature is determined and the temperature dependence of the total size of the system…

## 24 Citations

### Phase structure of matrix quantum mechanics at finite temperature

- Physics
- 2007

We study matrix quantum mechanics at finite temperature by Monte Carlo simulation. The model is obtained by dimensionally reducing 10d U(N) pure Yang-Mills theory to 1d. Following Aharony et al., one…

### Nonperturbative aspects of supersymmetric quantum field theories in low dimensions

- Physics
- 2015

Simulations of supersymmetric field theories on the lattice with (spontaneously) broken supersymmetry suffer from a fermion sign problem related to the vanishing of the Witten index. We propose a…

### Non-lattice simulation of supersymmetric gauge theories as a probe to quantum black holes and strings

- Physics
- 2009

In the past decade we have witnessed remarkable developments in the gauge-gravity duality, which suggested a new approach to superstring theory and quantum space-time. In this context it is important…

### Black hole thermodynamics from calculations in strongly coupled gauge theory.

- PhysicsPhysical review letters
- 2001

An approximation scheme for the quantum mechanics of N D0-branes at finite temperature in the 't Hooft large- N limit is developed and provides a model for the density matrix which describes a black hole in the strongly coupled quantum mechanics.

### Monte Carlo studies of the IIB matrix model at large N

- Physics
- 2000

The low-energy effective theory of the IIB matrix model developed by H. Aoki et al. is written down explicitly in terms of bosonic variables only. The effective theory is then studied by Monte Carlo…

### The origin of space-time as seen from matrix model simulations

- Physics
- 2012

The AdS/CFT correspondence, or more generally the gauge/gravity duality, is a remarkable conjecture obtained from superstring theory with various D-brane backgrounds. According to this conjecture, a…

### Nonperturbative studies of supersymmetric matrix quantum mechanics with 4 and 8 supercharges at finite temperature

- Physics
- 2011

We investigate thermodynamic properties of one-dimensional U(N) supersymmetric gauge theories with 4 and 8 supercharges in the planar large-N limit by Monte Carlo calculations. Unlike the 16…

### D=4 supersymmetric Yang-Mills quantum mechanics with three colors

- Physics
- 2014

The spectrum of the $D=4$ supersymmetric Yang-Mills quantum mechanics with $SU(3)$ gauge group symmetry is computed in different channels with definite total angular momentum and the total number of…

### Gaussian and Mean Field Approximations for Reduced Yang-Mills Integrals

- Mathematics
- 2000

In this paper, we consider bosonic reduced Yang-Mills integrals by using some approximation schemes, which are a kind of mean field approximation called Gaussian approximation and its improved…

### Lattice Simulations of 10d Yang-Mills toroidally compactified to 1d, 2d and 4d

- Physics
- 2016

Toroidally compactified Yang-Mills theory on the lattice is studied by using the Hybrid Monte Carlo algorithm. When the compact dimensions are small, the theory naturally reduces to Yang-Mills with…

## References

SHOWING 1-8 OF 8 REFERENCES

### hep-th/9908141

### hep-lat/9909150 and references therein

- hep-lat/9909150 and references therein

### Nucl. Phys

- Nucl. Phys
- 1983

### Eur. Phys. J. C11

- Eur. Phys. J. C11
- 1999

### For a recent review see E

- J. Martinec

### Phys. Rev

- Phys. Rev
- 1980

### Polon

- Polon
- 1989

### Commun. Math. Phys

- Commun. Math. Phys
- 2000