2006AIP conference proceedingsOpen access

Could Spin-Charge Separation be the Source of Confinement?

Antti J. Niemi

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Abstract

Yang‐Mills gauge field with gauge group SU(2) decomposes into a single charge neutral complex vector, and two spinless charged scalar fields. At high energies these constituents are tightly confined into each other by a compact U(1) interaction, and the Yang‐Mills Lagrangian describes the dynamics of asymptotically free massless gauge vectors. But in a low energy and finite density environment the interaction between the constituents can become weak, and a spin‐charge separation may occur. We suggest that the separation between the spin and charge with the ensuing condensation of the charged scalars takes place when the Yang‐Mills theory enters confinement. The confining phase becomes then surprisingly similar to the superconducting phase of a high‐Tc superconductor.

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Yang‐Mills gauge field with gauge group SU(2) decomposes into a single charge neutral complex vector, and two spinless charged scalar fields. At high energies these constituents are tightly confined into each other by a compact U(1) interaction, and the Yang‐Mills Lagrangian describes the dynamics of asymptotically free massless gauge vectors. But in a low energy and finite density environment the interaction between the constituents can become weak, and a spin‐charge separation may occur. We suggest that the separation between the spin and charge with the ensuing condensation of the charged scalars takes place when the Yang‐Mills theory enters confinement. The confining phase becomes then surprisingly similar to the superconducting phase of a high‐Tc superconductor.

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Available abstract

Yang‐Mills gauge field with gauge group SU(2) decomposes into a single charge neutral complex vector, and two spinless charged scalar fields. At high energies these constituents are tightly confined into each other by a compact U(1) interaction, and the Yang‐Mills Lagrangian describes the dynamics of asymptotically free massless gauge vectors. But in a low energy and finite density environment the interaction between the constituents can become weak, and a spin‐charge separation may occur. We suggest that the separation between the spin and charge with the ensuing condensation of the charged scalars takes place when the Yang‐Mills theory enters confinement. The confining phase becomes then surprisingly similar to the superconducting phase of a high‐Tc superconductor.

Key concepts: Physics, Charge (physics), Gauge theory, Scalar (mathematics), Massless particle, Yang–Mills theory, Spin (aerodynamics), Superconductivity

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