Pair creation by homogeneous electric field from the point of view of an accelerated observer

Abstract

With a special choice of gauge the operator of the Klein-Fock-Gordon equation in homogeneous electric field respects boost symmetry. Using this symmetry we obtain solutions for the scalar massive field equation in such a background (boost modes in the electric field). We calculate the spectrum of particles created by the electric field, as seen by an accelerated observer at spatial infinity of the right wedge of Minkowski spacetime. It is shown that the spectrum and the total number of created pairs measured by a remote uniformly accelerated observer in Minkowski spacetime are precisely the same as for inertial observers.

Restoration of dynamically broken chiral and color symmetries for an accelerated observer

“…For an accelerated observer moving with constant acceleration according to (4), the gamma matrices in Rindler coordinates are obtained by the definition given in (1)…”

From color glass condensate to quark–gluon plasma through the event horizon

“…[27,28,29] and references therein). First, consider a detector with quantum levels m and M moving with a constant acceleration in the constant electric field.…”

Boost modes for a massive fermion field and the Unruh problem

“…Boost modes are used as a basis for field quantization very rarely. Till now they were exploited only for analysis of the so-called "Unruh effect" [9,12] and at attempts to quantize a charged massive scalar field in the presence of an external constant electric field [27,28]. However, there are many problems, especially in the quantum field theory in a curved space, where the boost symmetry may appear to be the only symmetry for the quantum field, and thus using it for separation of variables in a classical field equation is the only instrument to find solutions for such equations.…”

“…(27) in the form (28), we see that this expression is undefined for arbitrary x ′ , x ′′ . Moreover, smearing cannot improve the situation since it does not influence the δ-function in (28). The correct expression for the smeared Wightman function can be easily obtained from Eq.…”