Wilson Action Beta Function Drives SU(N) Lattice Gauge Theory to Gaussian Fixed Point — E8 Intelligence Research

July 19, 2026Open Access

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Key Points

The central aim is to understand how the Wilson action beta function affects SU(N) lattice gauge theory and its flow toward the Gaussian fixed point.
Examined the beta function for SU(N) lattice gauge theory, determined as β(g²) = - (2N / g²) (a ∂g²/∂a).
Utilized mathematical analysis to explore the coupling constant's behavior and its relationship with lattice spacing a.
Discussed the implications of continuous limits and coupling constant behavior in renormalization group flows.
Identified that the beta function shows logarithmic running of the coupling constant g², aiding the understanding of weak coupling behavior.
Demonstrated that the approach to the Gaussian fixed point occurs as g² approaches zero, implicating critical insights for lattice models.
Revealed a pattern in renormalization group flows, suggesting monotonic behavior rather than harmonic tendencies.

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Shows how the Wilson action beta function influences gauge theory outcomes, indicating significant theoretical insights.

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Andrew Stewart Caldin (2026) studied this question.

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