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arxiv: 1704.06404 · v2 · pith:AQY3IFWSnew · submitted 2017-04-21 · ✦ hep-lat

Schwinger-Keldysh on the lattice: a faster algorithm and its application to field theory

Andrei Alexandru , Gokce Basar , Paulo F. Bedaque , Gregory W. Ridgway This is my paper
classification ✦ hep-lat
keywords algorithmtheorycarlomonterealtimeupdateadditional
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A new algorithm is developed allowing the Monte Carlo study of a 1 + 1 dimensional theory in real time. The main algorithmic development is to avoid the explicit calculation of the Jacobian matrix and its determinant in the update process. This improvement has a wide applicability and reduces the cost of the update in thimble-inspired calculations from O(N^3) to less than O(N^2). As an additional feature, the algorithm leads to improved Monte Carlo proposals. We exemplify the use of the algorithm to the real time dynamics of a scalar {\phi}^4 theory with weak and strong couplings.

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Cited by 2 Pith papers

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