One physical problem with possible mathematical significance

A. M. Polyakov

doi:10.1016/0393-0440(88)90021-6

One physical problem with possible mathematical significance

A. M. Polyakov

Physics

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

3 Scopus citations

Abstract

We analyze three-dimensional gauge theory with Chern-Simons action, which arises in the context of high T_c superconductivity. We show that the main effect in this theory is the change of spin and statistics of charged particles. Also, the amplitudes of particle propagation acquire phases dependent on the topology of the knot formed by their trajectories. In the end, we discuss possible generalizations of this theory, and their relations to strings.

Original language	English (US)
Pages (from-to)	595-600
Number of pages	6
Journal	Journal of Geometry and Physics
Volume	5
Issue number	4
DOIs	https://doi.org/10.1016/0393-0440(88)90021-6
State	Published - 1988

All Science Journal Classification (ASJC) codes

Mathematical Physics
General Physics and Astronomy
Geometry and Topology

Keywords

Chern-Simons action
knots
spin
statistic
super conductivity strings

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10.1016/0393-0440(88)90021-6

Cite this

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abstract = "We analyze three-dimensional gauge theory with Chern-Simons action, which arises in the context of high Tc superconductivity. We show that the main effect in this theory is the change of spin and statistics of charged particles. Also, the amplitudes of particle propagation acquire phases dependent on the topology of the knot formed by their trajectories. In the end, we discuss possible generalizations of this theory, and their relations to strings.",

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AU - Polyakov, A. M.

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N2 - We analyze three-dimensional gauge theory with Chern-Simons action, which arises in the context of high Tc superconductivity. We show that the main effect in this theory is the change of spin and statistics of charged particles. Also, the amplitudes of particle propagation acquire phases dependent on the topology of the knot formed by their trajectories. In the end, we discuss possible generalizations of this theory, and their relations to strings.

AB - We analyze three-dimensional gauge theory with Chern-Simons action, which arises in the context of high Tc superconductivity. We show that the main effect in this theory is the change of spin and statistics of charged particles. Also, the amplitudes of particle propagation acquire phases dependent on the topology of the knot formed by their trajectories. In the end, we discuss possible generalizations of this theory, and their relations to strings.

KW - Chern-Simons action

KW - knots

KW - spin

KW - statistic

KW - super conductivity strings

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U2 - 10.1016/0393-0440(88)90021-6

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M3 - Article

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VL - 5

SP - 595

EP - 600

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 4

ER -

One physical problem with possible mathematical significance

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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