Two dimensional fermions in four dimensional YM

R. Narayanan, Herbert Neuberger

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Dirac fermions in the fundamental representation of SU(N) live on a two dimensional torus flatly embedded in R 4. They interact with a four dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite N. As the size of the torus in units of 1/Λ SU(N) is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite N limit.

Original languageEnglish (US)
Article number018
JournalJournal of High Energy Physics
Volume2009
Issue number11
DOIs
StatePublished - Nov 25 2009

Fingerprint

fermions
symmetry
preserving

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • 1/N expansion
  • Lattice gauge field theories

Cite this

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abstract = "Dirac fermions in the fundamental representation of SU(N) live on a two dimensional torus flatly embedded in R 4. They interact with a four dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite N. As the size of the torus in units of 1/Λ SU(N) is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite N limit.",
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language = "English (US)",
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Two dimensional fermions in four dimensional YM. / Narayanan, R.; Neuberger, Herbert.

In: Journal of High Energy Physics, Vol. 2009, No. 11, 018, 25.11.2009.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Two dimensional fermions in four dimensional YM

AU - Narayanan, R.

AU - Neuberger, Herbert

PY - 2009/11/25

Y1 - 2009/11/25

N2 - Dirac fermions in the fundamental representation of SU(N) live on a two dimensional torus flatly embedded in R 4. They interact with a four dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite N. As the size of the torus in units of 1/Λ SU(N) is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite N limit.

AB - Dirac fermions in the fundamental representation of SU(N) live on a two dimensional torus flatly embedded in R 4. They interact with a four dimensional SU(N) Yang Mills vector potential preserving a global chiral symmetry at finite N. As the size of the torus in units of 1/Λ SU(N) is varied from small to large, the chiral symmetry gets spontaneously broken in the infinite N limit.

KW - 1/N expansion

KW - Lattice gauge field theories

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U2 - 10.1088/1126-6708/2009/11/018

DO - 10.1088/1126-6708/2009/11/018

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 11

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