Speaker
Description
We present Symplectic Quantization, a novel functional approach to quantum field theory that allows us to sample quantum fluctuations directly in Minkowski space–time, bypassing the limitations of traditional importance sampling techniques restricted to imaginary time. Our method is based on a deterministic dynamics governed by Hamilton-like equations in an auxiliary time parameter $\tau$. We show that the microcanonical correlation functions are equivalent to those generated by a Minkowskian canonical theory where quantum fields fluctuations are weighted by the factor $exp(iS/\hbar)$, $S$ being the original action of the system. We benchmark the approach on the quantum harmonic oscillator, where we are able to reconstruct the full real-time dynamics, not only of the ground state but also of excited states and superpositions. The method reproduces quantum expectation values with high accuracy and captures interference effects that are inaccessible to Euclidean formulations. These results demonstrate that our framework can recover the complete structure of quantum mechanics in real time, establishing a solid foundation for applications to interacting quantum field theories.
| Parallel Session (for talks only) | Theoretical developments and applications beyond Standard Model |
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