Spin 0 and spin 1/2 particles in a constant scalar-curvature background

Abstract

We study the Klein-Gordon and Dirac equations in the presence of a background metric ds^2 = -dt^2 + dx^2 + e^{-2gx}(dy^2 + dz^2) in a semi-infinite lab (x>0). This metric has a constant scalar curvature R=6g^2 and is produced by a perfect fluid with equation of state p=-ρ/3. The eigenfunctions of spin-0 and spin-1/2 particles are obtained exactly, and the quantized energy eigenvalues are compared. It is shown that both of these particles must have nonzero transverse momentum in this background. We show that there is a minimum energy E^2_{min}=m^2c^4 + g^2c^2\hbar^2$ for bosons E_{KG} > E_{min}, while the fermions have no specific ground state E_{Dirac}>mc^2.

LateX, 10 pages

References in corpus (4)

• Neutrino oscillations in curved spacetime: an heuristic treatment
• Gravitational Effects on the Neutrino Oscillation
• Spin 0 and spin 1/2 quantum relativistic particles in a constant gravitational field
• Berry phase for spin--1/2 particles moving in a spacetime with torsion

Cited by in corpus (4)

• Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation
• The Klein-Gordon equation in the spacetime of a charged and rotating black hole
• Spin 0 and spin 1/2 particles in a spherically symmetric static gravity and a Coulomb field
• Klein-Gordon and Dirac particles in non-constant scalar-curvature background