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Low-energy effective theory of Fermi surface coupled with U(1) gauge field in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>dimensions
We study the low-energy effective theory for a non-Fermi-liquid state in $2+1$ dimensions, where a transverse U(1) gauge field is coupled with a patch of Fermi surface with $N$ flavors of fermion in the large $N$ limit. In the low-energy limit, quantum corrections are classified according to the genus of …