
A quantum electrodynamic process where two photons interact and scatter off each other, forbidden in classical electromagnetism.Light-by-light scattering is a quantum electrodynamic process in which two photons interact and scatter off each other, producing two photons with changed directions. In classical electromagnetism, Maxwell's equations are linear, meaning light passes through light without any interaction; this process is therefore a purely quantum effect. It is a direct consequence of the vacuum not being truly empty but filled with virtual particle-antiparticle pairs, which can mediate the interaction.
The possibility was first predicted by Werner Heisenberg and Hans Euler in 1936, and independently by Victor Weisskopf, based on Dirac's theory of the electron. It remained unobserved for decades due to its rarity.
The mechanism involves a virtual electron-positron pair: one photon momentarily transforms into a pair, and the second photon interacts with one of these virtual particles, after which the pair annihilates back into two real photons. This is a fourth-order process in perturbation theory, making it extremely rare. The probability scales with the fine-structure constant squared, and it becomes observable only with very intense photon beams or strong electromagnetic fields.
It is a key background process in high-energy particle physics experiments, such as at the LHC, and is used to test quantum electrodynamics at high precision. It also plays a role in astrophysical environments like neutron stars and gamma-ray bursts.
The first direct observation of light-by-light scattering was achieved in 2017 by the ATLAS experiment at CERN, using ultra-peripheral collisions of lead ions.





