TY  - CONF
AU  - Dick, Michael
AU  - Alexander, van Meegen
AU  - Helias, Moritz
TI  - Linking Network and Neuron Level Correlations via Renormalized Field Theory
M1  - FZJ-2023-03601
PY  - 2023
AB  - It is frequently hypothesized that cortical networks operate close to a critical point. Advantages of criticality include rich dynamics well-suited for computation and critical slowing down, which may offer a mechanism for dynamic memory. However, mean-field approximations, while versatile and popular, inherently neglect the fluctuations responsible for such critical dynamics. Thus, a renormalized theory is necessary. We consider the Sompolinsky-Crisanti-Sommers model which displays a well studied chaotic as well as a magnetic transition. Based on the analogue of a quantum effective action, we derive self-consistency equations for the first two renormalized Greens functions. Their self-consistent solution reveals a coupling between the population level activity and single neuron heterogeneity. The quantitative theory explains the population autocorrelation function, the single-unit autocorrelation function with its multiple temporal scales, and cross correlations.
T2  - Bernstein Conference 2023
CY  - 26 Sep 2023 - 30 Sep 2023, Berlin (Germany)
Y2  - 26 Sep 2023 - 30 Sep 2023
M2  - Berlin, Germany
LB  - PUB:(DE-HGF)24
DO  - DOI:10.34734/FZJ-2023-03601
UR  - https://juser.fz-juelich.de/record/1015246
ER  -