A practical solution to the sign problem at finite theta-vacuum angle

Hiroaki Kouno; Masanobu Yahiro; Takahiro Sasaki

A practical solution to the sign problem at finite theta-vacuum angle

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arxiv 1208.0375 v1 pith:HLPGHWZW submitted 2012-08-01 hep-ph hep-latnucl-th

Takahiro Sasaki , Hiroaki Kouno , Masanobu Yahiro This is my paper · ORCID

classification hep-phhep-latnucl-th

keywords methodproblemreweightingsignfindgoodlagrangianpractical

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We propose a practical way of circumventing the sign problem in lattice QCD simulations with a theta-vacuum term. This method is the reweighting method for the QCD Lagrangian after the U_A(1) transformation. In the Lagrangian, the P-odd mass term as a cause of the sign problem is minimized. In order to find out a good reference system in the reweighting method, we estimate the average reweighting factor by using the two-flavor NJL model and eventually find a good reference system.

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First-order CP phase transition in two-flavor QCD at $\theta = \pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
hep-ph 2025-02 conditional novelty 6.0 of 10

In an NJL model, the electromagnetic scale anomaly creates a thermal potential barrier proportional to |eB|^3 |P|/(P^2 + m0^2), making the theta = pi CP transition first order.

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