Lorentz Violation and the Yukawa Potential

Abstract

We analyze Lorentz violations in the bosonic sector of a Yukawa-type quantum field theory. The nonrelativistic potential may be determined to all orders in the Lorentz violation, and we find that only specific types of modifications to the normal Yukawa potential can be generated. The influence of this modified potential on scattering and bounds states is calculated. These results could be relevant to the search for new macroscopic forces, which may not necessarily be Lorentz invariant.

10 pages

References in corpus (7)

• Lorentz-Violating Electrostatics and Magnetostatics
• Cold Atom Clock Test of Lorentz Invariance in the Matter Sector
• Test of Lorentz Invariance in Electrodynamics Using Rotating Cryogenic Sapphire Microwave Oscillators
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Cited by in corpus (17)

• What Do We Know About Lorentz Invariance?
• On the aether-like Lorentz-breaking actions
• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Renormalization of Scalar and Yukawa Field Theories with Lorentz Violation
• Radiative corrections and Lorentz violation
• Mass Renormalization in Lorentz-violating Scalar Field Theory
• Casimir effect in Lorentz-violating scalar field theory: a local approach
• Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
• Lorentz-violating effects in the Bose-Einstein condensation of an ideal bosonic gas
• Lorentz and CPT Violation in Scalar-Mediated Potentials
• Three-loop field renormalization for scalar field theory with Lorentz violation
• Mirrors and field sources in a Lorentz-violating scalar field theory
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Single-Particle Quantum Mechanics of the Free Klein-Gordon Equation with Lorentz Violation
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• Experimental Plan to Verify the YPCP Model: "Yukawa Pico Chemistry and Physics" Implications in the CF-Lenr Field
• Nonrelativistic effective potential of the bumblebee model