Real-time dynamics of Chern-Simons fluctuations near a critical point

The real-time topological susceptibility is studied in (1 + 1)-dimensional massive Schwinger model with a theta-term. We evaluate the real-time correlation function of electric field that represents the topological Chem-Pontryagin number density in (1 + 1) dimensions. Near the parity-breaking critical point located theta = pi and fermion mass m to coupling g ratio of m/g approximate to 0.33, we observe a sharp maximum in the topological susceptibility. We interpret this maximum in terms of the growth of critical fluctuations near the critical point, and draw analogies between the massive Schwinger model, QCD near the critical point, and ferroelectrics near the Curie point.

Automated summary

The study shows that in the (1 + 1)-dimensional massive Schwinger model with a theta-term, a sharp maximum in the topological susceptibility is observed near the parity-breaking critical point where theta = pi and the fermion mass to coupling ratio is approximately 0.33. This phenomenon is interpreted as being related to the growth of critical fluctuations near the critical point, and analogies are drawn between the massive Schwinger model, QCD near the critical point, and ferroelectrics near the Curie point.