The 2D Pomeranchuk transition is controlled by a Gaussian fixed point with dynamical exponent z=2 and a marginally irrelevant quartic term, not by the Hertz-Millis z=3 theory.
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Critical theory of Pomeranchuk transitions via high-dimensional bosonization
The 2D Pomeranchuk transition is controlled by a Gaussian fixed point with dynamical exponent z=2 and a marginally irrelevant quartic term, not by the Hertz-Millis z=3 theory.