Matrix model fixed point of noncommutative ϕ4 theory

In this article, we exhibit explicitly the matrix model ($\ensuremath{\theta}=\ensuremath{\infty}$) fixed point of ${\ensuremath{\phi}}^{4}$ theory on noncommutative spacetime with only two noncommuting directions, using the Wilson renormalization group recursion formula and the $1/N$ expansion of the zero-dimensional reduction, and then calculate the mass critical exponent $\ensuremath{\nu}$ and the anomalous dimension $\ensuremath{\eta}$ in various dimensions.

• noncommutative spacetime
• Wilsonian renormalization group
• 1/N expansion
• anomalous dimensions

• Noncommutative and Quantum Gravity Theories
• Theoretical and Computational Physics
• Particle physics theoretical and experimental studies
• noncommutative spacetime
• Wilsonian renormalization group
• 1/N expansion
• anomalous dimensions
• Statistical and Nonlinear Physics
• Condensed Matter Physics
• Nuclear and High Energy Physics
• Physics and Astronomy