Duality in a Supersymmetric Gauge Theory From a Perturbative Viewpoint

Thomas A. Ryttov, Robert Shrock

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Abstract

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.

Original languageEnglish
Article number065020
JournalPhysical Review D
Volume97
Issue number6
Number of pages8
ISSN2470-0010
DOIs
Publication statusPublished - 15. Mar 2018

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series expansion
gauge theory
approximation
quantum chromodynamics
composite materials

Keywords

  • hep-th
  • hep-lat
  • hep-ph

Cite this

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

In: Physical Review D, Vol. 97, No. 6, 065020, 15.03.2018.

Research output: Contribution to journalJournal articleResearchpeer-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

VL - 97

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 6

M1 - 065020

ER -