Speaker
Description
We develop a perturbative renormalization-group framework for dynamical critical theories that interpolates between overdamped and propagating dynamics. Although the formalism includes the purely dissipative Model-A limit as a special case, our main focus is the opposite regime, where dissipation is weak or absent and the dynamics is dominated by second-order time derivatives.
Within the supersymmetric MSRJD formulation, we compute the one- and two-loop contributions to the relevant vertex functions using dimensional regularization in (d=4-\epsilon), and derive the corresponding beta functions and anomalous dimensions. This allows us to determine the fixed-point structure and the associated critical exponents in the dissipationless regime, while keeping track of how the overdamped Model-A limit is recovered within the same formulation. The calculation therefore provides a controlled (\epsilon)-expansion approach to the crossover between dissipative and propagating critical dynamics.
| Affiliation | University of Florence and INFN Florence |
|---|---|
| Career status | Senior |