We present a high-precision Monte Carlo study of the classical Heisenberg model in four dimensions, showing that in the broken-symmetry phase it supports topological, monopole-like excitations, whose properties confirm previous analytical predictions derived in quantum field theory. We discuss the relevance of these findings and their possible experimental applications in condensed-matter physics.
Topological excitations in statistical field theory at the upper critical dimension
Panero Marco;Smecca Antonio
2021-01-01
Abstract
We present a high-precision Monte Carlo study of the classical Heisenberg model in four dimensions, showing that in the broken-symmetry phase it supports topological, monopole-like excitations, whose properties confirm previous analytical predictions derived in quantum field theory. We discuss the relevance of these findings and their possible experimental applications in condensed-matter physics.
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