Lifshitz-type Quantum Field Theories in Particle Physics

Abstract

This introduction to Lifshitz-type field theories reviews some of its aspects in Particle Physics. Attractive features of these models are described with different examples, as the improvement of graphs convergence, the introduction of new renormalizable interactions, dynamical mass generation, asymptotic freedom, and other features related to more specific models. On the other hand, problems with the expected emergence of Lorentz symmetry in the IR are discussed, related to the different effective light cones seen by different particles when they interact.

26 pages, comments and references added

References in corpus (22)

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• Bounding Isotropic Lorentz Violation Using Synchrotron Losses at LEP
• U(1) symmetry and elimination of spin-0 gravitons in Horava-Lifshitz gravity without the projectability condition
• Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model
• String Quantum Gravity, Lorentz-Invariance Violation and Gamma-Ray Astronomy
• Cosmology in nonrelativistic general covariant theory of gravity
• Stability, ghost, and strong coupling in nonrelativistic general covariant theory of gravity with $\lambda \ne 1$
• $C{P}^{N-1}$ Models at a Lifshitz Point
• Hamiltonian Analysis of Non-Relativistic Covariant RFDiff Horava-Lifshitz Gravity
• Detailed balance condition and ultraviolet stability of scalar field in Horava-Lifshitz gravity
• Spherically symmetric solutions in Covariant Horava-Lifshitz Gravity
• Vacuum Cherenkov Radiation In Quantum Electrodynamics With High-Energy Lorentz Violation
• Renormalization Of High-Energy Lorentz Violating Four Fermion Models
• Symmetry breaking and restoration in Lifshitz type theories
• Mass Hierarchies in Lorentz-Violation-induced Dynamical Mass Models

Cited by in corpus (61)

• Hořava Gravity at a Lifshitz Point: A Progress Report
• General covariant Horava-Lifshitz gravity without projectability condition and its applications to cosmology
• Robust Constraint on Lorentz Violation Using Fermi-LAT Gamma-Ray Burst Data
• Probes of Lorentz Violation
• On the Possibility of Superluminal Neutrino Propagation
• Limits on Neutrino Lorentz Violation from Multimessenger Observations of TXS 0506+056
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Entanglement Evolution in Lifshitz-type Scalar Theories
• Krylov Complexity in Lifshitz-type Scalar Field Theories
• Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling
• On Ward Identities in Lifshitz-like Field Theories
• Inflation in general covariant theory of gravity
• Inertial frames without the relativity principle
• Lorentz violating kinematics: Threshold theorems
• Power-counting and Renormalizability in Lifshitz Scalar Theory
• Superluminal neutrinos and domain walls
• Isotropic Lifshitz point in the O(N) Theory
• Lifshitz scalar fields: one loop renormalization in curved backgrounds
• On higher-order corrections in a four-fermion Lifshitz model
• Competing interactions and the Lifshitz-type Nonlinear Sigma Model
• Isotropic Lifshitz critical behavior from the functional renormalization group
• Lifshitz fermionic theories with z=2 anisotropic scaling
• Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance
• Superluminal Neutrinos and Monopoles
• Indications of isotropic Lifshitz points in four dimensions
• Holomorphic Structure and Quantum Critical Points in Supersymmetric Lifshitz Field Theories
• Symmetry breaking and restoration for interacting scalar and gauge fields in Lifshitz type theories
• Constraint on super-luminal neutrinos from vacuum Cerenkov processes
• Lorentz-violating effects in three-dimensional $QED$
• Snowmass White Paper: The Quest to Define QFT
• The breaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transition
• Fermion effective dispersion relation for z=2 Lifshitz QED
• Asymptotically free lattice gauge theory in five dimensions
• Superluminal neutrinos from Lorentz-violating dimension-5 operators
• Effective potential for Lifshitz type z=3 gauge theories
• Quasi-relativistic fermions and dynamical flavour oscillations
• $\mathcal{N}=2$ supersymmetry and anisotropic scale invariance
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
• Fine-tuning problems in quantum field theory and Lorentz invariance: A scalar-fermion model with a physical momentum cutoff
• On the landscape of scale invariance in quantum mechanics
• Ultraviolet properties of Lifshitz-type scalar field theories
• On the Bhabha scattering for $z=2$ Lifshitz QED
• Vacuum Radiation in $z=2$ Lifshitz QED
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
• Källén-Lehmann representation of noncommutative quantum electrodynamics
• Krylov Complexity in Lifshitz-type Dirac Field Theories
• Neutrino processes with power law dispersion relations
• Super-Luminal Effects for Finsler Branes as a Way to Preserve the Paradigm of Relativity Theories
• $\mathcal{N}=1$ $\mathcal{D}=3$ Lifshitz-Wess-Zumino model: A paradigm of reconciliation between Lifshitz-like operators and supersymmetry
• Environment-induced uncertainties on moving mirrors in quantum critical theories via holography
• Instantons in Lifshitz Field Theories
• Lorentz symmetry violating Lifshitz-type field theories
• About Statistical Questions Involved in the Data Analysis of the OPERA Experiment
• Singularities of the Casimir Energy for Quantum Field Theories with Lifshitz Dimensions
• Radiative generation of metastable minima in a scalar-fermion model
• Nonrelativistic Limit of Dirac Theory From Effective Field Theory
• On the Cut-off Estimate in Lifshitz Five Dimensional Field Theories
• Higher-derivative four-dimensional sine-Gordon model
• Lifshitz-type SU(N) lattice gauge theory in five dimensions
• Common origin of superluminal neutrinos and DAMA annual modulation
• Non-Hermitian Lagrangian for quasi-relativistic fermions