Heisenberg-Euler Lagrangian and Discovery of the Magnetic Gluon Condensation

by Georgios Savvidis (Nat. Cent. for Sci. Res. Demokritos (GR))

Other Institutes

Other Institutes

Κτίριο Tandem, αίθουσα "Θέμης Παραδέλλης" ΕΚΕΦΕ "Δημόκριτος"

In the classical field theory the Lagrangian encapsulates the relevant classical
equations of motion and the symmetries of the system. In the quantum field theory the
effective Lagrangian encodes quantum corrections to the classical Lagrangian, corrections
that are induced by quantum fluctuations and vacuum polarisation. It allows a direct probe
of the vacuum structure of the quantum field theories, the Gauge Field Theories and of the
Standard Model of elementary particles. The seminal works of Sauter, Euler and Kockel,
Heisenberg and Euler, Schwinger, Coleman and Weinberg produced the paradigm for the
entire field by predicting and computing the scattering of light by light, determining the
nonlinear corrections to the Electrodynamics, discovering the phenomenon of Dynamical
Symmetry breaking and understanding Quantum Anomalies. In Quantum Chromodynamics
it allows to predict Magnetic Gluon Condensation. The lecture will contain review of these
works and discussion of the future progress.