Soliton form factors from lattice simulations

Details Soliton form factors from lattice simulations Soliton form factors from lattice simulations

2010-06-11

arxiv.org/abs/1006.2410v2

Phys.Rev.D82:111502,2010

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 3 figures; v2: discussion extended, references added, version accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.82.111502

The form factor provides a convenient way to describe properties of topological solitons in the full quantum theory, when semiclassical concepts are not applicable. It is demonstrated that the form factor can be calculated numerically using lattice Monte Carlo simulations. The approach is very general and can be applied to essentially any type of soliton. The technique is illustrated by calculating the kink form factor near the critical point in 1+1-dimensional scalar field theory. As expected from universality arguments, the result agrees with the exactly calculable scaling form factor of the two-dimensional Ising model.

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