2021/09/21 by Marco Panero, Panero, Marco, Antonio Smecca +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat
paper · pdf · doi:10.48550/arxiv.2109.10389
8 pages, 5 pdf figures, to appear in the proceedings of the 38th International Symposium on Lattice Field Theory "LATTICE21" (26.-30.07.2021, Zoom/Gather@Massachusetts Institute of Technology)
arxiv created 2021/09/21 · arxiv updated 2021/09/23
We present a high-precision Monte Carlo study of the O(3) spin theory on the lattice in four dimensions. This model exhibits interesting dynamical features, in particular in the broken-symmetry phase, where suitable boundary conditions can be used to enforce monopole-like topological excitations. We investigate the Euclidean time propagation and the features of these excitations close to the critical point, where our numerical results show an excellent quantitative agreement with analytic predictions derived from purely quantum-field-theoretical tools by G. Delfino. We conclude by commenting on the implications of our findings for a conjectured violation of Derrick's theorem at the quantum level and on the consequences in various areas of physics, ranging from condensed matter to astro-particle physics.