The Neutrino Casimir Force

Abstract

In the low energy effective theory of the weak interaction, a macroscopic force arises when pairs of neutrinos are exchanged. We calculate the neutrino Casimir force between plates, allowing for two different mass eigenstates within the loop. We also provide the general potential between point sources. We discuss the possibility of distinguishing whether neutrinos are Majorana or Dirac fermions using these quantum forces.

arXiv comment9 pages & appendices, 3 figures. v2: Minor edits, matches JHEP version

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• Neutrino forces in neutrino backgrounds
• Inferring the nature of active neutrinos: Dirac or Majorana?
• Background-Induced Forces from Dark Relics
• The neutrino force in neutrino backgrounds: Spin dependence and parity-violating effects
• Neutrino forces and the Sommerfeld enhancement
• On neutrino-mediated potentials in a neutrino background
• The Quantum Mechanics Swampland
• Neutrino force at all length scales
• Probing the non-standard neutrino interactions using quantum statistics
• Repulsive Casimir force from a Majorana zero-mode
• Neutrino Effects on Atomic Measurements of the Weinberg Angle
• Neutrino mass and nature through its mediation in atomic clock interference