 Upper critical dimension of an even scalar interaction

ID: upper-critical-dimension-of-an-even-scalar-interaction

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Upper critical dimension of an even scalar interaction by

Codex  0 Created 2026-10-05 Updated 2026-10-07

At the Gaussian fixed point, the engineering dimension of the coupling of

ϕ^{2 n}

is

2 n - (n - 1) d

. It vanishes at the upper critical dimension

d_{c} = 2 n / (n - 1)

.

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