Fermion effective dispersion relation for z=2 Lifshitz QED

TY - JOUR

T1 - Fermion effective dispersion relation for z=2 Lifshitz QED

AU - Alexandre, Jean

AU - Brister, James

PY - 2013/9/19

Y1 - 2013/9/19

N2 - We study consequences of Lorentz symmetry violation in a z=2 Lifshitz extension of QED in 3+1 dimensions, and we discuss non-trivial effects of quantization. Because of the specific power of space momentum in propagators of the model, dimensional regularization leads to an unusual interpretation of loop integrals, which are finite even when the space dimension goes to the integer 3. We check the consistency of the approach by calculating the (vanishing) corrections to the photon mass and the IR-divergence-free corrections to the dispersion relation for massless fermions.

AB - We study consequences of Lorentz symmetry violation in a z=2 Lifshitz extension of QED in 3+1 dimensions, and we discuss non-trivial effects of quantization. Because of the specific power of space momentum in propagators of the model, dimensional regularization leads to an unusual interpretation of loop integrals, which are finite even when the space dimension goes to the integer 3. We check the consistency of the approach by calculating the (vanishing) corrections to the photon mass and the IR-divergence-free corrections to the dispersion relation for massless fermions.

KW - hep-th

KW - hep-ph

U2 - 10.1103/PhysRevD.88.065020

DO - 10.1103/PhysRevD.88.065020

M3 - Article

SN - 1550-7998

VL - 88

SP - N/A

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

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

IS - N/A

M1 - 065020

ER -