The interaction of charged particles and photons with intense electromagnetic fields gives rise to multiphoton Compton and Breit-Wheeler processes. These are usually described in the framework of the external field approximation, where the electromagnetic field is assumed to have infinite energy. However, the multiphoton nature of these processes implies the absorption of a significant number of photons, which scales as the external field amplitude cubed. As a result, the interaction of a highly charged electron bunch with an intense laser pulse can lead to significant depletion of the laser pulse energy, thus rendering the external field approximation invalid. We provide relevant estimates for this depletion and find it to become important in the interaction between fields of amplitude a 0 ∼ 10 3 and electron bunches with charges of the order of 10 nC. DOI: 10.1103/PhysRevLett.118.154803 The interaction of charged particles with ultraintense electromagnetic (EM) pulses is the cornerstone of a newly emerging area of research, high intensity particle physics, located at the intersection of quantum electrodynamics (QED) and the theory of strong EM background fields. The latter significantly alter the physics of typical QED processes, leading to effects not encountered in perturbative quantum field theory [1][2][3][4][5][6]. Recently, there has been a surge of interest in these processes due to the planning and realization of new laser facilities, which will be able to deliver EM pulses of unprecedented intensities to test the predictions of high intensity particle physics [2]. Moreover, the development of compact multi-GeV laser electron accelerators [1,2,7,8] adds another component necessary to carry out these studies.Here, we will assume that the strong EM field is provided by an ultraintense laser (pulse) with wave vector k, central frequency ω ¼ 2π=λ in the optical regime, and electric field magnitude E. The interactions of this strong field with photons and charged particles are parametrized in terms of the following parameters (we use natural units throughout, Here, e and m are electron charge and mass, F μν is the EM field tensor, while p ν and k 0 ν denote the four momenta of electron and photon probing the laser. The parameter a 0 is usually referred to as the classical nonlinearity parameter, since its physical meaning is the energy gain of an electron (in units m) traversing a reduced wavelength ƛ ¼ 1=ω of the field. For a 0 > 1 the electron or positron motion in such a field becomes relativistic.The parameter E S characterizes a distinct feature of QED, the ability to produce new particles from vacuum. This happens when an energy of mc 2 is delivered across an electron Compton wavelength ƛ e ¼ 1=m, which is precisely achieved by E S [10]. The parameters χ e and χ γ characterize the interaction of charged particles and photons with the strong EM field. For example, χ e is the EM field strength in the electron rest frame in units of E S . Quantum effects become of crucial importance when E ≈ E S or χ ...