Duality in a Supersymmetric Gauge Theory From a Perturbative Viewpoint

Thomas A. Ryttov, Robert Shrock

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Resumé

We study duality in N=1 supersymmetric QCD in the non-Abelian Coulomb phase, order-by-order in scheme-independent series expansions. Using exact results, we show how the dimensions of various fundamental and composite chiral superfields, and the quantities a, c, a/c, and b at superconformal fixed points of the renormalization group emerge in scheme-independent series expansions in the electric and magnetic theories. We further demonstrate that truncations of these series expansions to modest order yield very accurate approximations to these quantities and suggest possible implications for nonsupersymmetric theories.

OriginalsprogEngelsk
Artikelnummer065020
TidsskriftPhysical Review D (Particles, Fields, Gravitation and Cosmology)
Vol/bind97
Udgave nummer6
Antal sider8
ISSN0556-2821
DOI
StatusUdgivet - 15. mar. 2018

Fingeraftryk

series expansion
gauge theory
approximation
quantum chromodynamics
composite materials

Bibliografisk note

4 figures

Citer dette

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Duality in a Supersymmetric Gauge Theory From a Perturbative Viewpoint. / Ryttov, Thomas A.; Shrock, Robert.

I: Physical Review D (Particles, Fields, Gravitation and Cosmology), Bind 97, Nr. 6, 065020, 15.03.2018.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Duality in a Supersymmetric Gauge Theory From a Perturbative Viewpoint

AU - Ryttov, Thomas A.

AU - Shrock, Robert

N1 - 4 figures

PY - 2018/3/15

Y1 - 2018/3/15

N2 - We study duality in N=1 supersymmetric QCD in the non-Abelian Coulomb phase, order-by-order in scheme-independent series expansions. Using exact results, we show how the dimensions of various fundamental and composite chiral superfields, and the quantities a, c, a/c, and b at superconformal fixed points of the renormalization group emerge in scheme-independent series expansions in the electric and magnetic theories. We further demonstrate that truncations of these series expansions to modest order yield very accurate approximations to these quantities and suggest possible implications for nonsupersymmetric theories.

AB - We study duality in N=1 supersymmetric QCD in the non-Abelian Coulomb phase, order-by-order in scheme-independent series expansions. Using exact results, we show how the dimensions of various fundamental and composite chiral superfields, and the quantities a, c, a/c, and b at superconformal fixed points of the renormalization group emerge in scheme-independent series expansions in the electric and magnetic theories. We further demonstrate that truncations of these series expansions to modest order yield very accurate approximations to these quantities and suggest possible implications for nonsupersymmetric theories.

KW - hep-th

KW - hep-lat

KW - hep-ph

U2 - 10.1103/PhysRevD.97.065020

DO - 10.1103/PhysRevD.97.065020

M3 - Journal article

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JO - Physical Review D. Particles and fields

JF - Physical Review D. Particles and fields

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