Two dimensional fermions in three dimensional YM

R. Narayanan; H. Neuberger

doi:10.1007/JHEP06(2010)014

Two dimensional fermions in three dimensional YM

R. Narayanan, H. Neuberger

School of Arts and Sciences, Physics & Astronomy

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

Abstract

Dirac fermions in the fundamental representation of SU(N) live on the surface of a cylinder embedded in R³ and interact with a three dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite N. As the circumference of the cylinder is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite N limit at a typical bulk scale. Replacing three dimensional YM by four dimensional YM introduces non-trivial renormalization effects.

Original language	English (US)
Article number	14
Journal	Journal of High Energy Physics
Volume	2010
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2010)014
State	Published - 2010

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Keywords

1/N expansion
Confinement
Lattice gauge field theories
Spontaneous symmetry breaking

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10.1007/JHEP06(2010)014

Cite this

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AB - Dirac fermions in the fundamental representation of SU(N) live on the surface of a cylinder embedded in R3 and interact with a three dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite N. As the circumference of the cylinder is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite N limit at a typical bulk scale. Replacing three dimensional YM by four dimensional YM introduces non-trivial renormalization effects.

KW - 1/N expansion

KW - Confinement

KW - Lattice gauge field theories

KW - Spontaneous symmetry breaking

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Two dimensional fermions in three dimensional YM

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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