Schwinger-Dyson approach for a Lifshitz-type Yukawa model

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.045002· OSTI ID:21409329

Alexandre, J ^[1]; Farakos, K; Pasipoularides, P ^[2]; Tsapalis, A ^[2]

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1. Department of Physics, King's College London, WC2R 2LS (United Kingdom)
2. Department of Physics, National Technical University of Athens Zografou Campus, 157 80 Athens (Greece)

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.

• OSTI ID: 21409329
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 4; Other Information: DOI: 10.1103/PhysRevD.81.045002; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPUTERIZED SIMULATION
CORRECTIONS
COUPLING
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
INTERACTIONS
MASS
ONE-DIMENSIONAL CALCULATIONS
SYMMETRY
YUKAWA POTENTIAL
NUCLEAR POTENTIAL
POTENTIALS
SIMULATION