Fermion effective dispersion relation for z=2 Lifshitz QED

Abstract

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.

arXiv comment13 pages, 1 figure

References in corpus (17)

• Lorentz-Violating Extension of the Standard Model
• Data Tables for Lorentz and CPT Violation
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED
• Renormalization group in Lifshitz-type theories
• Catalysis of Dynamical Flavor Symmetry Breaking by a Magnetic Field in $2+1$ Dimensions
• Weighted power counting and Lorentz violating gauge theories. I: General properties
• Weighted power counting and Lorentz violating gauge theories. II: Classification
• Lifshitz-type Quantum Field Theories in Particle Physics
• Asymptotically free four-fermi theory in 4 dimensions at the z=3 Lifshitz-like fixed point
• Standard Model Without Elementary Scalars And High Energy Lorentz Violation
• On the effective potential for Horava-Lifshitz-like theories
• Vacuum polarization in thermal QED with an external magnetic field
• Renormalization Of High-Energy Lorentz Violating QED
• Properties of a consistent Lorentz-violating Abelian gauge theory
• On higher-order corrections in a four-fermion Lifshitz model
• Dynamical mass generation in Lorentz-violating QED

Cited by in corpus (9)

• Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
• Asymptotically free lattice gauge theory in five dimensions
• On Non-Relativistic Supersymmetry and its Spontaneous Breaking
• Quasi-relativistic fermions and dynamical flavour oscillations
• On the Bhabha scattering for $z=2$ Lifshitz QED
• Effective fermion kinematics from a modified quantum gravity
• Vacuum Radiation in $z=2$ Lifshitz QED
• Effective matter dispersion relation in quantum covariant Horava-Lifshitz gravity
• Quantum-critical electrodynamics of Luttinger fermions