Universal Reconnection of Non-Abelian Cosmic Strings

Giacomo Marmorini; Keisuke Ohashi; Koji Hashimoto; Minoru Eto; Muneto Nitta; Walter Vinci

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Universal Reconnection of Non-Abelian Cosmic Strings

Minoru Eto, Koji Hashimoto, Giacomo Marmorini, Muneto Nitta, Keisuke Ohashi, Walter Vinci

High Energy Physics - Theory · Submitted 28 Sep 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that local/semilocal strings in Abelian/non-Abelian gauge theories with critical couplings always reconnect classically in collision, by using moduli space approximation.

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arXiv IDhep-th/0609214 (version 3)

Pith IDPT2KQV62, Pith's permanent record of this paper and its review

CitationGiacomo Marmorini, Keisuke Ohashi, Koji Hashimoto, Minoru Eto, Muneto Nitta, Walter Vinci. "Universal Reconnection of Non-Abelian Cosmic Strings." arXiv:hep-th/0609214 (2006). https://pith.science/paper/PT2KQV62

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.24 · compares with prior results 0.14 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

We show that local/semilocal strings in Abelian/non-Abelian gauge theories with critical couplings always reconnect classically in collision, by using moduli space approximation. The moduli matrix formalism explicitly identifies a well-defined set of the vortex moduli parameters. Our analysis of generic geodesic motion in terms of those shows right-angle scattering in head-on collision of two vortices, which is known to give the reconnection of the strings.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We show that local/semilocal strings in Abelian/non-Abelian gauge theories with critical couplings always reconnect classically in collision, by using moduli space approximation.	result 0.88	0.93	0.93	asserted 1.00
s1	The moduli matrix formalism explicitly identifies a well-defined set of the vortex moduli parameters.	method 0.86	0.54	0.03	asserted 1.00
s2	Our analysis of generic geodesic motion in terms of those shows right-angle scattering in head-on collision of two vortices, which is known to give the reconnection of the strings.	result 0.90	0.88	0.37	asserted 1.00

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T body sentences
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The paper

Original abstract

We show that local/semilocal strings in Abelian/non-Abelian gauge theories with critical couplings always reconnect classically in collision, by using moduli space approximation. The moduli matrix formalism explicitly identifies a well-defined set of the vortex moduli parameters. Our analysis of generic geodesic motion in terms of those shows right-angle scattering in head-on collision of two vortices, which is known to give the reconnection of the strings.

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References

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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The k-vortex moduli spaces of U(Nc) and U(Nf-Nc) gauge theories with Nf flavors are two regularizations of a single non-Hausdorff quotient, and both collapse to the same Grassmannian lump moduli space at infinite gaug...
The stability of non-Abelian $A_4$ vortices in $SO(3)$ gauge theory
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At equal mass scales, order-three A4 vortices are linearly stable while an order-two vortex has an exact negative mode, proving that restricted Bogomol'nyi structure does not imply full stability.
Beyond the Standard Models with Cosmic Strings
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Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
hep-th 2007-03 accept novelty 3.0 of 10

The review argues that non-Abelian flux tubes in N=2 SQCD carry orientational moduli governed by a two-dimensional CP(N-1) model, and that confined monopoles appear as kinks of that worldsheet theory.

How the literature uses it

31 arXiv papers cite this in 53 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 36 sentences without a confident label

Builds on it 1 paper

This result for well-separated vortices naturally extends a similar result obtained by an analysis around a vicinity of coincident vortices [ref] .

Dynamics of Non-Abelian Vortices · Internal orientations at a head-on collision · 0.97

Uses its method or tool 1 paper

In this paper we apply the moduli matrix approach to study the vortex moduli space [ref] .

Vortex counting from field theory · Introduction · 1.00

Compares with it 1 paper

In contrast, BPS non-Abelian vortices with $ℂP^N-1$ non-Abelian moduli exhibit scattering at right angles both in real and internal spaces [ref] .

Dynamics of global and local vortices with orientational moduli · Head-on collisions: type II non-Abelian vortices · 0.99

Cites it as support 1 paper

The fine-tuned scattering process cannot contribute to the reconnection probability; for this reason the reconnection rate of the non-Abelian BPS vortex is one [ref] .

Static Interactions of non-Abelian Vortices · Conclusion and discussion · 0.97

Cites it as background 11 papers

The problem was already studied in the literature for $k=2$ coincident vortices in $U(2)$ gauge theory [ref] , and partial answers were obtained.

Group Theory of Non-Abelian Vortices · Introduction and discussion · 0.87
The most general Bogomol'nyi-Prasad-Sommerfield (BPS) vortex solutions and their moduli space have been found [ref] and the dynamics of two colliding vortices studied [ref] .

Constructing Non-Abelian Vortices with Arbitrary Gauge Groups · Introduction · 0.84
Their interaction, scattering and reconnection have been studied in the moduli space approximation [ref] .

Interactions of Non-Abelian Global Strings · Introduction · 0.87

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