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Quantum Theory of Pomeranchuck Transition in Two Dimensional Fermi Liquids via High Dimensional Bosonization
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Quantum Theory of Pomeranchuck Transition in Two Dimensional Fermi Liquids via High Dimensional Bosonization
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We use high dimensional bosonization to derive an effective field theory that describes the Pomeranchuck transition in two-dimensional Fermi liquids. The bosonization approach explicitly retains all low-energy degrees of freedom of the system. The resultant theory has dynamical exponent z=2 at tree level and upper critical dimension d_c=2, thus in 2D the system is at the upper critical dimension. These results differ from those of an earlier study based on integrating out fermions.
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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.
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