A Gaussian fixed point is a fixed point of the renormalization group flow which is noninteracting in the sense that it is described by a free field theory.[1] The word Gaussian comes from the fact that the probability distribution is Gaussian at the Gaussian fixed point. This means that Gaussian fixed points are exactly solvable (trivially solvable in fact). Slight deviations from the Gaussian fixed point can be described by perturbation theory.
See also
UV fixed point
IR fixed point
Quantum triviality
References
Zinn-Justin, Jean (3 May 2010). "Critical Phenomena: field theoretical approach". Scholarpedia. Brain Corporation. 5 (5): 8346. doi:10.4249/scholarpedia.8346. Retrieved 17 June 2019.
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