Scalar and fermionic vacuum currents in de Sitter spacetime with compact dimensions

Abstract

Vacuum expectation values (VEVs) of the current densities for charged scalar and Dirac spinor fields are investigated in (D+1)-dimensional de Sitter (dS) spacetime with toroidally compactified spatial dimensions. Along compact dimensions we impose quasiperiodicity conditions with arbitrary phases. In addition, the presence of a classical constant gauge field is assumed. The VEVs of the charge density and of the components for the current density along noncompact dimensions vanish. The gauge field leads to Aharonov-Bohm-like oscillations of the components along compact dimensions as functions of the magnetic flux. For small values of the comoving length of a compact dimension, compared with the dS curvature scale, the current density is related to the corresponding current in the Minkowski spacetime by a conformal relation. For large values of the comoving length and for a scalar field, depending on the mass of the field, two different regimes are realized with the monotonic and oscillatory damping of the current density. For a massive spinor field, the decay of the current density is always oscillatory. In supersymmetric models on the background of Minkowski spacetime with equal number of scalar and fermionic degrees of freedom and with the same phases in the periodicity conditions, the total current density vanishes due to the cancellation between the scalar and fermionic parts. The background gravitational field modifies the current densities for scalar and fermionic fields in different ways and for massive fields there is no cancellation in the dS spacetime.

19 pages, 4 figures, discussion and references added

References in corpus (18)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
• Simple de Sitter Solutions
• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Uses of zeta regularization in QFT with boundary conditions: a cosmo-topological Casimir effect
• Surface Casimir densities and induced cosmological constant in higher dimensional braneworlds
• Induced fermionic current in toroidally compactified spacetimes with applications to cylindrical and toroidal nanotubes
• Casimir effect in de Sitter spacetime with compactified dimension
• Fermionic Casimir effect in toroidally compactified de Sitter spacetime
• Fermionic current from topology and boundaries with applications to higher-dimensional models and nanophysics
• Vacuum polarization by a cosmic string in de Sitter spacetime
• Wightman function and vacuum densities in de Sitter spacetime with toroidally compactified dimensions
• Fermionic vacuum polarization by a composite topological defect in higher-dimensional space-time
• Finite temperature current densities and Bose-Einstein condensation in topologically nontrivial spaces
• One Loop Field Strengths of Charges and Dipoles on a Locally de Sitter Background
• Dark energy and the hierarchy problem

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