Marginally stable topologically non-trivial solitons in the Gross-Neveu model

Joshua Feinberg

doi:10.1016/j.physletb.2003.07.037

Marginally stable topologically non-trivial solitons in the Gross-Neveu model

Joshua Feinberg

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that a kink and a topologically trivial soliton in the Gross-Neveu model form, in the large-N limit, a marginally stable static configuration, which is bound at threshold. The energy of the resulting composite system does not depend on the separation of its solitonic constituents, which serves as a modulus governing the profile of the compound soliton. Thus, in the large-N limit, a kink and a non-topological soliton exert no force on each other.

Original language	English
Pages (from-to)	204-210
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	569
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2003.07.037
State	Published - 11 Sep 2003

Bibliographical note

Funding Information:
I am happy to thank Y. Frishman, M. Karliner, M. Moshe and R. Sasaki for useful discussions, and N. Andrei for correspondence. Also, I thank the members of the high energy theory group at the Yukawa institute, where this work was completed, for their cordial hospitality. This work has been supported in part by the Israeli Science Foundation.

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2003.07.037

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title = "Marginally stable topologically non-trivial solitons in the Gross-Neveu model",

abstract = "We show that a kink and a topologically trivial soliton in the Gross-Neveu model form, in the large-N limit, a marginally stable static configuration, which is bound at threshold. The energy of the resulting composite system does not depend on the separation of its solitonic constituents, which serves as a modulus governing the profile of the compound soliton. Thus, in the large-N limit, a kink and a non-topological soliton exert no force on each other.",

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N2 - We show that a kink and a topologically trivial soliton in the Gross-Neveu model form, in the large-N limit, a marginally stable static configuration, which is bound at threshold. The energy of the resulting composite system does not depend on the separation of its solitonic constituents, which serves as a modulus governing the profile of the compound soliton. Thus, in the large-N limit, a kink and a non-topological soliton exert no force on each other.

AB - We show that a kink and a topologically trivial soliton in the Gross-Neveu model form, in the large-N limit, a marginally stable static configuration, which is bound at threshold. The energy of the resulting composite system does not depend on the separation of its solitonic constituents, which serves as a modulus governing the profile of the compound soliton. Thus, in the large-N limit, a kink and a non-topological soliton exert no force on each other.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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ER -

Marginally stable topologically non-trivial solitons in the Gross-Neveu model

Abstract

Bibliographical note

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