Abstract
We consider the dynamics of a charged particle (e.g., an electron) oscillating in a laser field in flat spacetime and describe it in terms of the variable mass metric. By applying Einstein's equivalence principle, we show that, after representing the electron motion in a time-dependent manner, the variable mass metric takes the form of the Friedmann–Lemaître–Robertson–Walker metric. We quantize a pseudo-scalar field in this spacetime and derive the production rate of electrically neutral, spinless particles. We show that this approach can provide an alternative experimental method to axion searches.
Highlights
We consider the dynamics of a charged particle oscillating in a laser field in flat spacetime and describe it in terms of the variable mass metric
By applying Einstein’s equivalence principle, we show that, after representing the electron motion in a time-dependent manner, the variable mass metric takes the form of the Friedmann–Lemaître–Robertson–Walker metric
Thermal radiation can arise from particle production near the event horizon of a black hole, an effect commonly known as the Hawking radiation [2,3]
Summary
We consider the dynamics of a charged particle (e.g., an electron) oscillating in a laser field in flat spacetime and describe it in terms of the variable mass metric. We quantize a pseudoscalar field in this spacetime and derive the production rate of electrically neutral, spinless particles We show that this approach can provide an alternative experimental method to axion searches. To circumvent the ambiguity about the vacuum state, we first assume the existence of a preferred particle model that provides time-independent creation/annihilation operators from which we can construct a reference vacuum state Such conditions are fulfilled, for example, when looking at the solution of the Klein–Gordon equation at asymptotic times (η → ±∞). If v0 is the velocity of the particle due to the influence of the laser field, and any remaining components are sufficiently small, we approximately have
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