EPJ Web Conf.
Volume 274, 2022XVth Quark Confinement and the Hadron Spectrum Conference (ConfXV)
|Number of page(s)||8|
|Section||8 - Parallel Track G|
|Published online||22 December 2022|
The density of states method in Yang-Mills theories and first order phase transitions
1 Department of Physics, Faculty of Science and Engineering, Swansea University (Park Campus), Singleton Park, SA2 8PP Swansea, Wales, United Kingdom
2 Department of Mathematics, Faculty of Science and Engineering, Swansea University (Bay Campus), Fabian Way, SA1 8EN Swansea, Wales, United Kingdom
3 Swansea Academy of Advanced Computing, Swansea University (Bay Campus), Fabian Way, SA18EN Swansea, Wales, United Kingdom
4 Physics Department, University of Michigan, Ann Arbor, MI 48109, USA
5 Theoretical Quantum Physics Laboratory, Cluster of Pioneering Research, RIKEN, Wako, Saitama 351-0198, Japan
6 Interdisciplinary Theoretical & Mathematical Science Program (iTHEMS), RIKEN, Wako, Saitama, 351-0198, Japan
7 Center for Quantum Computing (RQC), RIKEN, Wako, Saitama 351-0198, Japan
8 Centre for Mathematical Sciences, University of Plymouth, Plymouth, PL4 8AA, United Kingdom
Published online: 22 December 2022
Extensions of the standard model that lead to first-order phase transitions in the early universe can produce a stochastic background of gravitational waves, which may be accessible to future detectors. Thermodynamic observables at the transition, such as the latent heat, can be determined by lattice simulations, and then used to predict the expected signatures in a given theory. In lattice calculations, the emergence of metastabilities in proximity of the phase transition may make the precise determination of these observables quite challenging, and may lead to large uncontrolled numerical errors. In this contribution, we discuss as a prototype lattice calculation the first order deconfinement transition that arises in the strong SU(3) Yang-Mills sector. We adopt the novel logarithmic linear relaxation method, which can provide a determination of the density of states of the system with exponential error suppression. Thermodynamic observables can be reconstructed with a controlled error, providing a promising direction for accurate model predictions in the future.
© The Authors, published by EDP Sciences, 2022
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