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The numerical sign problem has long posed a significant barrier to first-principles simulations of a wide range of physically relevant systems. Among recent attempts to develop versatile solutions, the Worldvolume Hybrid Monte Carlo (WV-HMC) has emerged as a reliable and computationally efficient algorithm that also avoids the ergodicity issues inherent in Lefschetz thimble-based approaches. In this talk, I will introduce the fundamentals of the WV-HMC method and present recent progress on its application to lattice gauge theories.
[Based on arXiv:2506.12002 [hep-lat] and ongoing work.]