N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation

Abstract

We show in this paper that the dynamics of a non-relativistic particle with spin, coupled to an external electromagnetic field and to a background that breaks Lorentz symmetry, is naturally endowed with an N=1-supersymmetry. This result is achieved in a superspace approach where the particle coordinates and the spin degrees of freedom are components of the same supermultiplet.

arXiv comment6 pages, no figures

References in corpus (32)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Constraints on Lorentz violation from clock-comparison experiments
• CPT and Lorentz Tests in Hydrogen and Antihydrogen
• Limit on Lorentz and CPT Violation of the Neutron Using a Two-Species Noble-Gas Maser
• CPT and Lorentz Tests in Penning Traps
• CPT and Lorentz tests with muons
• Clock-Comparison Tests of Lorentz and CPT Symmetry in Space
• Nonrelativistic Quantum Hamiltonian for Lorentz Violation
• Testing CPT with Anomalous Magnetic Moments
• Lorentz and CPT tests with spin-polarized solids
• Lorentz Violation in Supersymmetric Field Theories
• Limit on Lorentz and CPT Violation of the Proton Using a Hydrogen Maser
• Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications
• Dirac theory within the Standard-Model Extension
• Supersymmetry and Lorentz Violation
• Lorentz-violating corrections on the hydrogen spectrum induced by a non-minimal coupling
• Lorentz Violating Supersymmetric Quantum Electrodynamics
• Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term
• A Comment on the Topological Phase for Anti-Particles in a Lorentz-violating environment
• Dimensional Reduction of a Lorentz and CPT-violating Maxwell-Chern-Simons Model
• Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model
• Remarks on the Causality, Unitarity and Supersymmetric Extension of the Lorentz and CPT-Violating Maxwell-Chern-Simons Model
• Classical Solutions in a Lorentz-violating Scenario of Maxwell-Chern-Simons-Proca Electrodynamics
• Classical Solutions in a Lorentz-violating Maxwell-Chern-Simons Electrodynamics
• Double resonance frequency shift in a hydrogen maser
• Influence of Lorentz- and CPT-violating terms on the Dirac equation
• Dimensional Reduction of the Abelian-Higgs Carroll-Field-Jackiw Model
• Locality and topology in the molecular Aharonov-Bohm effect
• Superfield Realizations of Lorentz and CPT Violation
• Gauge Theories with Lorentz-Symmetry Violation by Symplectic Projector Method
• Planar Supersymmetric Quantum Mechanics of a Charged Particle in an External Electromagnetic Field

Cited by in corpus (9)

• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• An Investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models in $N=1$-Supersymmetric Scenario
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation