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Dual instantons

Pinzul¹, Stern

¹Department of Physics, University of Alabama, Tuscaloosa, Alabama 35487, USA.

Physical Review Letters

|September 6, 2000

Summary

This summary is machine-generated.

We map Belavin-Polyakov instantons from the O(3)-nonlinear sigma model to a dual theory, where they become nontopological solitons. This establishes a connection between topological and nontopological solitons in theoretical physics.

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Area of Science:

Theoretical Physics
Quantum Field Theory

Background:

The O(3)-nonlinear sigma model is a significant model in theoretical physics.
Instantons are important topological solutions in quantum field theory.

Purpose of the Study:

To establish a mapping between Belavin-Polyakov instantons and solitons in a dual theory.
To explore the relationship between topological and nontopological solitons.

Main Methods:

Mapping instantons from the O(3)-nonlinear sigma model to a dual theoretical framework.
Analyzing the properties of these mapped entities as solitons in the dual theory.

Main Results:

Belavin-Polyakov instantons of the O(3)-nonlinear sigma model are successfully mapped to nontopological solitons in a dual theory.

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These solitons are identified as stationary points of the Euclidean action in the dual theory.

The actions of the dual theory and the original O(3)-nonlinear sigma model are shown to agree on shell.

Conclusions:

The study provides a novel connection between topological instantons and nontopological solitons.
This work offers new insights into the structure and dynamics of solitons in quantum field theories.