Interaction of Electrons and Photons with a Very Strong Electromagnetic Field

A Lorentz and gauge invariant measure of laser intensity

“…The invariant numerator in (12), originally introduced in [14] as (F µν p ν ) 2 , is indeed proportional to the energy density seen by the charge, as in the charge rest frame, where p = (m e , 0), one has p µ T µν p ν = m 2 e T 00 = m 2 e (E 2 + B 2 )/2. The general relativistic analogue of this is an important characteristic of curved space times, constrained by positive energy theorems [15].…”

Dynamically assisted Sauter-Schwinger effect in inhomogeneous electric fields

“…Unfortunately, the dependence of this non-perturbative phenomenon on the field profile E(t, r) away from the constant field approximation is still mostly terra incognita. There are many results for fields which depend on one coordinate only, such as space x or time t (see, e.g., [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]), one of the light-cone coordinates x ± = t ± x (see, e.g., [21][22][23][24][25][26][27][28]), or other linear combinations of x and t [29]. In these cases, the underlying (Dirac or Klein-Fock-Gordon) equation simplifies to an ordinary differential equation (allowing for a WKB approach, for example, see also [30][31][32][33][34]).…”

Bell’s Universe: A Personal Recollection

“…In their paper "Quantum beamstrahlung" [113] they showed that the well-known Blankenbecler-Drell formula [114] for the bremsstrahlung energy loss of a relativistic electron passing through the field of a cylindric charge agrees with the popular 'Russian formula' [115][116][117][118] if the spin-flip contributions were added to Blankenbecler-Drell approach.…”