Abstract
We present a high-precision Monte Carlo study of the classical Heisenberg model in four dimensions. We investigate the properties of monopole-like topological excitations that are enforced in the broken-symmetry phase by imposing suitable boundary conditions. We show that the corresponding magnetization and energy-density profiles are accurately predicted by previous analytical calculations derived in quantum field theory, while the scaling of the low-energy parameters of this description questions an interpretation in terms of particle excitations. We discuss the relevance of these findings and their possible experimental applications in condensed-matter physics.
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Panero, M., Smecca, A. Topological excitations in statistical field theory at the upper critical dimension. J. High Energ. Phys. 2021, 231 (2021). https://doi.org/10.1007/JHEP03(2021)231
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DOI: https://doi.org/10.1007/JHEP03(2021)231