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- W2078025904 abstract "We consider a $3+1$ dimensional field theory at a Lifshitz point for a dynamical critical exponent $z=3$, with a scalar and a fermion field coupled via a Yukawa interaction. Using the nonperturbative Schwinger-Dyson approach we calculate quantum corrections to the effective action. We demonstrate that a first order derivative kinetic term as well as a mass term for the fermion arise dynamically. This signals the restoration of Lorentz symmetry in the IR regime of the single fermion model, although for theories with more than one fermionic species such a conclusion will require fine-tuning of couplings. The limitations of the model and our approach are discussed." @default.
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- W2078025904 date "2010-02-01" @default.
- W2078025904 modified "2023-09-25" @default.
- W2078025904 title "Schwinger-Dyson approach for a Lifshitz-type Yukawa model" @default.
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- W2078025904 doi "https://doi.org/10.1103/physrevd.81.045002" @default.
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