Soliton form factors from lattice simulations
arXiv:1006.2410 · doi:10.1103/PhysRevD.82.111502
Abstract
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.
5 pages, 3 figures; v2: discussion extended, references added, version accepted for publication in PRD
References in corpus (8)
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- Maxwell Construction for Scalar Field Theories with Spontaneous Symmetry Breaking
- On the quantum stability of Q-balls
- Nonperturbative study of the 't Hooft-Polyakov monopole form factors
- Counting defects with the two-point correlator
- Topological Defects in Quantum Field Theory with Matrix Product States
- Form factor and width of a quantum string
- Spontaneous symmetry breaking and linear effective potentials
- The Kibble Zurek Mechanism of Topological Defect Formation in Quantum Field Theory with Matrix Product States