Topological excitations in statistical field theory at the upper critical dimension

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.

arXiv comment1+13 pages, 9 pdf figures; v2: typos corrected, version published in the journal

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Cited by in corpus (3)

• Spontaneous symmetry breaking via inhomogeneities and the differential surface tension
• Magnetization profiles at the upper critical dimension as solutions of the integer Yamabe problem
• Mass of quantum topological excitations and order parameter finite size dependence