Higher-order corrections in a four-fermion Lifshitz model

TY - JOUR

T1 - Higher-order corrections in a four-fermion Lifshitz model

AU - Alexandre, J.

AU - Brister, J.

AU - Houston, N.

PY - 2012/7/27

Y1 - 2012/7/27

N2 - We study a flavor-violating four-fermion interaction in the Lifshitz context, in 3 + 1 dimensions and with a critical exponent z = 3. This model is renormalizable, and features dynamical mass generation, as well as asymptotic freedom. At one-loop, it is only logarithmically divergent, but the superficial degree of divergence of the two-point functions is 3. We calculate the two-loop corrections to the propagators, and show that, at this order, the Lorentz-violating corrections to the IR dispersion relation are quadratic in the cut off. Furthermore, these corrections are too significant to represent a physical effect. As a consequence, the predictive power of the model in terms of Lorentz-violating effects in the propagation of particles is limited.

AB - We study a flavor-violating four-fermion interaction in the Lifshitz context, in 3 + 1 dimensions and with a critical exponent z = 3. This model is renormalizable, and features dynamical mass generation, as well as asymptotic freedom. At one-loop, it is only logarithmically divergent, but the superficial degree of divergence of the two-point functions is 3. We calculate the two-loop corrections to the propagators, and show that, at this order, the Lorentz-violating corrections to the IR dispersion relation are quadratic in the cut off. Furthermore, these corrections are too significant to represent a physical effect. As a consequence, the predictive power of the model in terms of Lorentz-violating effects in the propagation of particles is limited.

U2 - 10.1103/PhysRevD.86.025030

DO - 10.1103/PhysRevD.86.025030

M3 - Article

SN - 1550-7998

VL - 86

SP - -

JO - Physical Review D (Particles, Fields, Gravitation and Cosmology)

JF - Physical Review D (Particles, Fields, Gravitation and Cosmology)

IS - 2

M1 - 025030

ER -