Landau-Ginzburg theory

Landau-Ginzburg theory supplements the local Landau potential with gradient terms and treats the order parameter as a spatial field.

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- Gaussian fluctuation correction near a critical point Landau-Ginzburg theory

Gaussian fluctuation correction near a critical point

For a quadratic kernel

K (t, k) \sim t + k^{2}

, the singular heat-capacity correction is proportional to

\int \frac{d ^{d} k}{( t + k ^{2} ) ^{2}} ≍ t^{d /2 - 2} .

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Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 303 / 1 / b / i / Solution

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