Topological excitations in statistical field theory at the upper critical dimension
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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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2019 ◽
Vol 32
(5)
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pp. 055101
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2017 ◽
Vol 20
(04)
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pp. 1750025
2006 ◽
Vol 368
(2)
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pp. 326-344
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2021 ◽
pp. 786-830
2020 ◽
Vol 33
(5)
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pp. 1329-1337
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2019 ◽
Vol 276
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pp. 812-818
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2014 ◽
pp. 228-236