Speaker
Description
The aim of this project is to study the effects of a noisy electric field in a complex scalar field $\lambda\phi^4$ theory, in the context of ultrarelativistic heavy ion collisions. The bosonic propagator in presence of a constant electric field is derived using the Schwinger-Fock proper time method. To consider the fluctuations of the electric field the statistical average of the generating functional of the theory is derived using the replica trick. The fluctuations are modeled as classical white noise following a gaussian probability distribution, which depends on the correlation lenght $\Delta_E$ of the fluctuations. The self energy and the vertex correction function are found in order to study the renormalization group equations of the theory.
