Turin Lattice Meeting 2023

Mass of quantum topological excitations and order parameter finite size dependence

21 Dec 2023, 14:45

30m

Aula Magna (Dipartimento di Fisica)

Talk Out-of-equilibrium simulations, Quantum Computing and Statistical Mechanics

Speaker

Marianna Sorba (Scuola Internazionale Superiore di Studi Avanzati (SISSA))

Description

We consider the spontaneously broken regime of the $O(n)$ vector model in $d=n+1$ space-time dimensions, with boundary conditions enforcing the presence of a topological defect line. Comparing theory and finite size dependence of one-point functions observed in recent numerical simulations [1,2] we argue that the mass of the underlying topological quantum particle becomes infinite for $d\ge 4$.
[1] G. Delfino, W. Selke and A. Squarcini, Phys. Rev. Lett. 122 (2019) 050602.
[2] M. Panero and A. Smecca, JHEP 03 (2021) 231.

Presentation materials

Turin Lattice Meeting - Marianna Sorba.pdf