Canonical quantization of gauge fields in static space-times with applications to Rindler spaces

Abstract

The canonical quantization in Weyl gauge of gauge fields in static space-times is presented. With an appropriate definition of transverse and longitudinal components of gauge fields, the Gauss law constraint is resolved explicitly for scalar and spinor QED and a complete non-perturbative solution is given for the quantized Maxwell-field coupled to external currents. The formalism is applied in investigations of the electromagnetic field in Rindler spaces. The relation of creation and annihilation operators in Minkowski and Rindler spaces is established and initial value problems associated with bremsstrahlung of a uniformly accelerated charge are studied. The peculiar scaling properties of scalar and gauge theories in Rindler spaces are discussed and various quantities such as the photon condensate or the interaction energy of static charges and of scalar sources are computed.

Extended Sec. IV F and minor corrections

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• Static interactions and stability of matter in Rindler space
• Van der Waals and resonance interactions between accelerated atoms in vacuum and the Unruh effect
• On the Massless Vector Fields in a Rindler Space
• Unruh-Fulling effect in nonlocal field theory: The role of Unruh decomposition
• Revision of the brick wall method for calculating the black hole thermodynamic quantities
• Canonical Quantization of the U(1) Gauge Field in the right Rindler-wedge in the Rindler Coordinates
• Canonical Quantization of the U(1) Gauge Field in the Rindler Coordinates