Some properties of the (ψψ)2 model in two dimensions

Edward Witten

doi:10.1016/0550-3213(78)90204-3

Some properties of the (ψψ)² model in two dimensions

Edward Witten

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

118 Scopus citations

Abstract

We show that the two-dimensional (ψψ)² model is, for N = 3, equivalent to the supersymmetric sine-Gordon equation, and for N = 4, equivalent to two decoupled sine-Gordon systems. In addition, we argue that the kinks of this model are isospinors, and we construct some of the higher conservation laws that are responsible for the exact solubility of this system.

Original language	English (US)
Pages (from-to)	285-300
Number of pages	16
Journal	Nuclear Physics, Section B
Volume	142
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(78)90204-3
State	Published - Sep 25 1978
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0550-3213(78)90204-3

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title = "Some properties of the (ψψ)2 model in two dimensions",

abstract = "We show that the two-dimensional (ψψ)2 model is, for N = 3, equivalent to the supersymmetric sine-Gordon equation, and for N = 4, equivalent to two decoupled sine-Gordon systems. In addition, we argue that the kinks of this model are isospinors, and we construct some of the higher conservation laws that are responsible for the exact solubility of this system.",

author = "Edward Witten",

note = "Funding Information: Research supported by the Harvard Society of Fellows and by the National Science Foundation under Grant No. PHY77-22864. I would like to thank S. Coleman for his generous assistance. Much of the work in sect. 2 was done in collaboration with him. I also wish to thank A. Zamolodchikov for his very helpful comments and suggestions, and to acknowledge discussions with R. Shankar, O. Alvarez, H. Thun and M. Peskin.",

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AU - Witten, Edward

N1 - Funding Information: Research supported by the Harvard Society of Fellows and by the National Science Foundation under Grant No. PHY77-22864. I would like to thank S. Coleman for his generous assistance. Much of the work in sect. 2 was done in collaboration with him. I also wish to thank A. Zamolodchikov for his very helpful comments and suggestions, and to acknowledge discussions with R. Shankar, O. Alvarez, H. Thun and M. Peskin.

PY - 1978/9/25

Y1 - 1978/9/25

N2 - We show that the two-dimensional (ψψ)2 model is, for N = 3, equivalent to the supersymmetric sine-Gordon equation, and for N = 4, equivalent to two decoupled sine-Gordon systems. In addition, we argue that the kinks of this model are isospinors, and we construct some of the higher conservation laws that are responsible for the exact solubility of this system.

AB - We show that the two-dimensional (ψψ)2 model is, for N = 3, equivalent to the supersymmetric sine-Gordon equation, and for N = 4, equivalent to two decoupled sine-Gordon systems. In addition, we argue that the kinks of this model are isospinors, and we construct some of the higher conservation laws that are responsible for the exact solubility of this system.

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UR - https://www.scopus.com/pages/publications/49349119346#tab=citedBy

U2 - 10.1016/0550-3213(78)90204-3

DO - 10.1016/0550-3213(78)90204-3

M3 - Article

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SN - 0550-3213

VL - 142

SP - 285

EP - 300

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 3

ER -

Some properties of the (ψψ)² model in two dimensions

Abstract

All Science Journal Classification (ASJC) codes

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