Translation invariance and a reduced model for summing planar diagrams in QCD

Sumit R. Das; Spenta R. Wadia

doi:10.1016/0370-2693(82)90552-4

Translation invariance and a reduced model for summing planar diagrams in QCD

Sumit R. Das
, Spenta R. Wadia

Producción científica: Article › revisión exhaustiva

87 Citas (Scopus)

Resumen

A reduction of degrees of freedom at large N is performed by representing space-time translations in the internal symmetry group. The reduced model for the U(∞) gauge theory is constructed in a translation invariant gauge. The rule is U(x, x+μ)→D_k(x)V_μD_k⁺(x) where V_μ belong to the coset U(N) U(1)^N and D_k(x) is a diagonal plane-wave matrix representing translations. We show that at large N, the planar perturbation expansion of the gauge theory is identical to that of the reduced model.

Idioma original	English
Páginas (desde-hasta)	228-232
Número de páginas	5
Publicación	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volumen	117
N.º	3-4
DOI	https://doi.org/10.1016/0370-2693(82)90552-4
Estado	Published - nov 11 1982

Nota bibliográfica

Funding Information:
'~ Work supported in part by the DOE: AE-AC02-81ER 10957A; and by the NSF: PHY79-23669. z Permanent address after October 1, 1982: Theoretical Phys-ics Group, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay-400005, India.

Financiación

'~ Work supported in part by the DOE: AE-AC02-81ER 10957A; and by the NSF: PHY79-23669. z Permanent address after October 1, 1982: Theoretical Phys-ics Group, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay-400005, India.

Financiadores	Número del financiador
National Science Foundation (NSF)	PHY79-23669
Michigan State University-U.S. Department of Energy (MSU-DOE) Plant Research Laboratory	AE-AC02-81ER 10957A

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(82)90552-4

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N2 - A reduction of degrees of freedom at large N is performed by representing space-time translations in the internal symmetry group. The reduced model for the U(∞) gauge theory is constructed in a translation invariant gauge. The rule is U(x, x+μ)→Dk(x)VμDk+(x) where Vμ belong to the coset U(N) U(1)N and Dk(x) is a diagonal plane-wave matrix representing translations. We show that at large N, the planar perturbation expansion of the gauge theory is identical to that of the reduced model.

AB - A reduction of degrees of freedom at large N is performed by representing space-time translations in the internal symmetry group. The reduced model for the U(∞) gauge theory is constructed in a translation invariant gauge. The rule is U(x, x+μ)→Dk(x)VμDk+(x) where Vμ belong to the coset U(N) U(1)N and Dk(x) is a diagonal plane-wave matrix representing translations. We show that at large N, the planar perturbation expansion of the gauge theory is identical to that of the reduced model.

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Translation invariance and a reduced model for summing planar diagrams in QCD

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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