beta function

Function that encodes the dependence of a coupling parameter on the energy scale

EntityfunctionQ1750507

Also known as β-function

Instance of: function

Overview

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In theoretical physics, specifically quantum field theory, a beta function or Gell-Mann–Low function, β(g), encodes the dependence of a coupling parameter, g, on the energy scale, μ, of a given physical process described by quantum field theory. It is defined by the Gell-Mann–Low equation or renormalization group equation, given by

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Has use: renormalization group
Different from: beta function
Defining formula: \beta(g)=\mu\frac{\partial g}{\partial\mu}
In defining formula: g symbol represents: coupling constant
\mu symbol represents: energy scale
\beta symbol represents: beta function

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Source last edited March 17, 2026. AIDB refreshes this page daily.

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AIDB. (2026). beta function (Q1750507). Retrieved from https://aidb.si/e/beta-function-Q1750507