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arXiv · 1503.00417

Complex Langevin method applied to the 2D $SU(2)$ Yang-Mills theory

Hiroki Makino·Hiroshi Suzuki·Daisuke Takeda
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Abstract

The complex Langevin method in conjunction with the gauge cooling is applied to the two-dimensional lattice $SU(2)$ Yang-Mills theory that is analytically solvable. We obtain strong numerical evidence that at large Langevin time the expectation value of the plaquette variable converges, but to a wrong value when the complex phase of the gauge coupling is large.

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Hiroki Makino, Hiroshi Suzuki, Daisuke Takeda. 2015-10-06. Complex Langevin method applied to the 2D $SU(2)$ Yang-Mills theory. https://doi.org/10.1103/physrevd.92.085020

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