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Condensation of Vortex-Strings: Effective Potential Contribution Through Dual Actions
High Energy Physics - Theory · Submitted 9 Apr 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The derivation of the nontrivial contribution of these vacuum excitations to phase transitions and its analogy with superconductivity is then made possible and they are studied here.
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The abstract, sentence by sentence
Topological excitations are believed to play an important role in different areas of physics. For example, one case of topical interest is the use of dual models of quantum cromodynamics to understand properties of its vacuum and confinement through the condensation of magnetic monopoles and vortices. Other applications are related to the role of these topological excitations, nonhomogeneous solutions of the field equations, in phase transitions associated to spontaneous symmetry breaking in gauge theories, whose study is of importance in phase transitions in the early universe, for instance. Here we show a derivation of a model dual to the scalar Abelian Higgs model where its topological excitations, namely vortex-strings, become manifest and can be treated in a quantum field theory way. The derivation of the nontrivial contribution of these vacuum excitations to phase transitions and its analogy with superconductivity is then made possible and they are studied here.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Topological excitations are believed to play an important role in different areas of physics. | background 1.00 | 0.03 | 0.02 | hedged possibility 0.88 |
| s1 | For example, one case of topical interest is the use of dual models of quantum cromodynamics to understand properties of its vacuum and confinement through the condensation of magnetic monopoles and vortices. | background 1.00 | 0.04 | 0.03 | asserted 0.74 |
| s2 | Other applications are related to the role of these topological excitations, nonhomogeneous solutions of the field equations, in phase transitions associated to spontaneous symmetry breaking in gauge theories, whose study is of importance in phase transitions in the early universe, for instance. | background 1.00 | 0.05 | 0.03 | asserted 0.89 |
| s3 | Here we show a derivation of a model dual to the scalar Abelian Higgs model where its topological excitations, namely vortex-strings, become manifest and can be treated in a quantum field theory way. | contribution 0.78 | 0.96 | 0.30 | asserted 1.00 |
| s4 | The derivation of the nontrivial contribution of these vacuum excitations to phase transitions and its analogy with superconductivity is then made possible and they are studied here. | contribution 0.93 | 0.93 | 0.44 | asserted 0.90 |
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Original abstract
Topological excitations are believed to play an important role in different areas of physics. For example, one case of topical interest is the use of dual models of quantum cromodynamics to understand properties of its vacuum and confinement through the condensation of magnetic monopoles and vortices. Other applications are related to the role of these topological excitations, nonhomogeneous solutions of the field equations, in phase transitions associated to spontaneous symmetry breaking in gauge theories, whose study is of importance in phase transitions in the early universe, for instance. Here we show a derivation of a model dual to the scalar Abelian Higgs model where its topological excitations, namely vortex-strings, become manifest and can be treated in a quantum field theory way. The derivation of the nontrivial contribution of these vacuum excitations to phase transitions and its analogy with superconductivity is then made possible and they are studied here.
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By properly matching our dual action to a field theory model, it is then possible to write it in terms of a vortex field coupled to a vectorial field (for earlier implementations of this procedure, see for example, the work done in Refs. [ref] , and references therein).
Casimir force due to condensed vortices in a plane · Introduction · 0.83
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