2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148978We derive a set of equations describing the real time dynamics of modes with spatial momentum of order g^2 T in a high temperature gauge theory, where g is the coupling constant and T is the temperature. This dynamics is stochastic in nature. Important implications for baryon number violation at high temperature and for the physics at the electroweak phase transition, are discussed.14 pages, uses LaTeX; Typographical errors corrected and references addedHigh Energy Physics - Phenomenologytext