Lifshitz scalar fields: one loop renormalization in curved backgrounds
arXiv:1111.1662 · doi:10.1103/PhysRevD.85.024051
Abstract
We consider an interacting Lifshitz field with z=3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form lambda phi^n, with arbitrary even n. We compute the running of the coupling constants both in the ultraviolet and infrared regimes. We show that the Lorentz violating terms generate couplings to the spacetime metric that are not invariant under general coordinate transformations. These couplings are not suppressed by the scale of Lorentz violation and therefore survive at low energies. We point out that in these theories, unless the effective mass of the field is many orders of magnitude below the scale of Lorentz violation, the coupling to the four dimensional Ricci scalar xi (4)R phi^2 does not receive large quantum corrections xi >> 1.
17 pages. Minor changes. Published version
References in corpus (14)
- Quantum Gravity at a Lifshitz Point
- The Standard Model Higgs boson as the inflaton
- Higgs inflation: consistency and generalisations
- Lorentz symmetry breaking as a quantum field theory regulator
- Cosmology of the Lifshitz universe
- Unitarizing Higgs Inflation
- Renormalization of Lorentz violating theories
- Renormalization group in Lifshitz-type theories
- Remarks on Higgs Inflation
- Lifshitz-type Quantum Field Theories in Particle Physics
- The emergence of a universal limiting speed
- Non-Gaussianity from Lifshitz Scalar
- Higgs-induced spectroscopic shifts near strong gravity sources
- Macroscopic quantum vacuum and microscopic gravitation
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- Power-counting and Renormalizability in Lifshitz Scalar Theory
- One-loop effective potential in nonlocal scalar field models
- Symmetry breaking and restoration for interacting scalar and gauge fields in Lifshitz type theories
- Restoration of Lorentz Symmetry for Lifshitz-Type Scalar Theory
- Towards a unitary, renormalizable and ultraviolet-complete quantum theory of gravity
- Quantum effective action for degenerate vector field theories
- Black Holes and Thunderbolt Singularities with Lifshitz Scaling Terms
- Higgs shifts from electron-positron annihilations near neutron stars
- Lifshitz-point correlation length exponents from the large-n expansion
- Entanglement wedge method, out-of-time-ordered correlators, and pole skipping
- Gravitational vacuum polarization phenomena due to the Higgs field
- Effective potential for Lifshitz type z=3 gauge theories
- Composite Nambu--Jona-Lasinio inflation near infrared fixed point of the Horava-Lifshitz theory