Euler flow under a supplied beta function

Read the equation

The displayed ODE defines a vector flow whose derivative is β(g). The implementation advances it with g_next=g+dtβ(g). Calling the helper renormalization-group flow is a modeling interpretation; the function performs a general Euler step and requires a defined beta function and a justified scale variable.

Terms & definitions

How it works

Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.

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Original context

}

// ═══════════════════════════════════════════════════════════════════════════════
// RENORMALIZATION GROUP EQUATIONS
// ═══════════════════════════════════════════════════════════════════════════════

// RGFlow computes renormalization group flow
// dg/dt = β(g) where β is the beta function
func RGFlow(g []float64, beta func([]float64) []float64, dt float64) []float64 {
	b := beta(g)
	result := make([]float64, len(g))
	for i := range result {
		result[i] = g[i] + b[i]*dt
	}
	return result
}

// BetaFunction computes the beta function for golden couplings

dg/dt = β(g) where β is the beta function

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