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Monte Carlo studies of matrix theory correlation functions
Masanori Hanada1, Jun Nishimura, Yasuhiro Sekino
1Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot 76100, Israel. masanori.hanada@weizmann.ac.il
Physical Review Letters
|May 21, 2010
Summary
We confirmed predicted power-law behaviors in supersymmetric gauge theory using Monte Carlo simulations. These findings support the gauge-gravity duality, even in regimes where supergravity analysis is not typically applied.
Area of Science:
- High Energy Physics
- String Theory
- Quantum Field Theory
Background:
- The study focuses on (0+1)-dimensional maximally supersymmetric U(N) gauge theory, the effective low-energy theory for D0-branes.
- Gauge-gravity duality posits specific infrared power-law behaviors for correlation functions in this theory.
Purpose of the Study:
- To investigate and verify the predicted power-law behaviors of correlation functions in the supersymmetric gauge theory.
- To test the validity of gauge-gravity duality predictions through direct computation.
Main Methods:
- Utilized the Monte Carlo method to evaluate two-point correlation functions on the gauge theory side.
- Focused on operators corresponding to supergravity modes in the large-N limit.
Main Results:
- Observed clear power-law behaviors in the correlation functions at N=3.
- Consistently confirmed the exponents predicted by the gauge-gravity duality.
Conclusions:
- The results provide strong evidence supporting the gauge-gravity duality in this supersymmetric system.
- The agreement suggests the duality's validity extends to the M-theory regime, challenging prior assumptions about supergravity applicability.
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