Advancing real-time Yang-Mills: towards real-time observables from first principles
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| Format: | Preprint |
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2024
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| _version_ | 1866910294259793920 |
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| author | Boguslavski, Kirill Hotzy, Paul Müller, David I. |
| author_facet | Boguslavski, Kirill Hotzy, Paul Müller, David I. |
| contents | The complex Langevin (CL) method shows great promise in enabling the calculation of observables for theories with complex actions. Nevertheless, real-time quantum field theories have remained largely unsolved due to the particular severity of the sign problem. In this contribution, we discuss our recent progress in applying CL to a thermal SU(2) Yang-Mills theory on a 3+1 dimensional lattice. We present our anisotropic kernel that stabilizes the CL approach for real times longer than the inverse temperature - a first for Yang-Mills theory. We provide explicit evidence of reproducing symmetries and relations among different types of propagators when the complex time path approaches the Schwinger-Keldysh contour. This method paves the way for calculating transport coefficients and other real-time observables from first principles. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_05723 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Advancing real-time Yang-Mills: towards real-time observables from first principles Boguslavski, Kirill Hotzy, Paul Müller, David I. High Energy Physics - Lattice Other Condensed Matter High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory The complex Langevin (CL) method shows great promise in enabling the calculation of observables for theories with complex actions. Nevertheless, real-time quantum field theories have remained largely unsolved due to the particular severity of the sign problem. In this contribution, we discuss our recent progress in applying CL to a thermal SU(2) Yang-Mills theory on a 3+1 dimensional lattice. We present our anisotropic kernel that stabilizes the CL approach for real times longer than the inverse temperature - a first for Yang-Mills theory. We provide explicit evidence of reproducing symmetries and relations among different types of propagators when the complex time path approaches the Schwinger-Keldysh contour. This method paves the way for calculating transport coefficients and other real-time observables from first principles. |
| title | Advancing real-time Yang-Mills: towards real-time observables from first principles |
| topic | High Energy Physics - Lattice Other Condensed Matter High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2401.05723 |