Dyson–Schwinger Effective-Action Methods for Rough Volatility: A Correlation–Response Architecture for Calibration, Exotics and Risk

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Highly relevant for quantitative researchers and traders dealing with exotic derivatives and rough volatility models. It offers a deterministic, fast alternative to Monte Carlo for pricing and risk, which is critical for real-time calibration and hedging in institutional trading environments.

The framework involves advanced concepts from quantum field theory (2PI effective action, Dyson-Schwinger equations) adapted to finance. Implementing the full architecture, including the distinction between Markovian and rough branches, exact MGF resummation, and response propagators for Greeks, requires significant expertise in both stochastic calculus and numerical methods.

The paper provides complete derivations, extended benchmark grids, and an accompanying technical supplement. It references specific numerical methods (Sobol QMC, COS inversion) and provides code-level details (Python/NumPy prototype). However, it does not explicitly link to a public GitHub repository in the text provided.