At the Gaussian fixed point all interaction couplings vanish and scaling dimensions follow from the quadratic theory.
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The Gaussian fixed point is a concept from the field of statistical physics and quantum field theory, particularly in the context of renormalization group (RG) flows. It refers to a fixed point in the space of coupling constants where the theory becomes independent of the details of the underlying microscopic structure at large length scales. Here’s a deeper explanation: ### Background In many physical systems, particularly those near critical points or phase transitions, the behavior of the system can be described using field theories.