Large-Nc and Large-NF Limits of SU(Nc) Gauge Theories with Fermions in Different Representations

Sudhakantha Girmohanta*, Thomas A. Ryttov, Robert Shrock

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Resumé

We present calculations of certain limits of scheme-independent series expansions for the anomalous dimensions of gauge-invariant fermion bilinear operators and for the derivative of the beta function at an infrared fixed point in SU(Nc) gauge theories with fermions transforming according to two different representations. We first study a theory with Nf fermions in the fundamental representation and Nf′ fermions in the adjoint or symmetric or antisymmetric rank-2 tensor representation, in the limit Nc→∞, Nf→∞ with Nf/Nc fixed and finite. We then study the Nc→∞ limit of a theory with fermions in the adjoint and rank-2 symmetric or antisymmetric tensor representations.

OriginalsprogEngelsk
Artikelnummer116022
TidsskriftPhysical Review D. Particles and fields
Vol/bind99
Udgave nummer11
Antal sider14
ISSN0556-2821
DOI
StatusUdgivet - jun. 2019

Fingeraftryk

gauge theory
fermions
tensors
series expansion
operators

Bibliografisk note

18 pages, RevTex

Emneord

  • hep-th
  • hep-lat
  • hep-ph

Citer dette

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abstract = "We present calculations of certain limits of scheme-independent series expansions for the anomalous dimensions of gauge-invariant fermion bilinear operators and for the derivative of the beta function at an infrared fixed point in SU(Nc) gauge theories with fermions transforming according to two different representations. We first study a theory with Nf fermions in the fundamental representation and Nf′ fermions in the adjoint or symmetric or antisymmetric rank-2 tensor representation, in the limit Nc→∞, Nf→∞ with Nf/Nc fixed and finite. We then study the Nc→∞ limit of a theory with fermions in the adjoint and rank-2 symmetric or antisymmetric tensor representations.",
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Large-Nc and Large-NF Limits of SU(Nc) Gauge Theories with Fermions in Different Representations. / Girmohanta, Sudhakantha; Ryttov, Thomas A.; Shrock, Robert.

I: Physical Review D. Particles and fields, Bind 99, Nr. 11, 116022, 06.2019.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Large-Nc and Large-NF Limits of SU(Nc) Gauge Theories with Fermions in Different Representations

AU - Girmohanta, Sudhakantha

AU - Ryttov, Thomas A.

AU - Shrock, Robert

N1 - 18 pages, RevTex

PY - 2019/6

Y1 - 2019/6

N2 - We present calculations of certain limits of scheme-independent series expansions for the anomalous dimensions of gauge-invariant fermion bilinear operators and for the derivative of the beta function at an infrared fixed point in SU(Nc) gauge theories with fermions transforming according to two different representations. We first study a theory with Nf fermions in the fundamental representation and Nf′ fermions in the adjoint or symmetric or antisymmetric rank-2 tensor representation, in the limit Nc→∞, Nf→∞ with Nf/Nc fixed and finite. We then study the Nc→∞ limit of a theory with fermions in the adjoint and rank-2 symmetric or antisymmetric tensor representations.

AB - We present calculations of certain limits of scheme-independent series expansions for the anomalous dimensions of gauge-invariant fermion bilinear operators and for the derivative of the beta function at an infrared fixed point in SU(Nc) gauge theories with fermions transforming according to two different representations. We first study a theory with Nf fermions in the fundamental representation and Nf′ fermions in the adjoint or symmetric or antisymmetric rank-2 tensor representation, in the limit Nc→∞, Nf→∞ with Nf/Nc fixed and finite. We then study the Nc→∞ limit of a theory with fermions in the adjoint and rank-2 symmetric or antisymmetric tensor representations.

KW - hep-th

KW - hep-lat

KW - hep-ph

U2 - 10.1103/PhysRevD.99.116022

DO - 10.1103/PhysRevD.99.116022

M3 - Journal article

VL - 99

JO - Physical Review D. Particles and fields

JF - Physical Review D. Particles and fields

SN - 0556-2821

IS - 11

M1 - 116022

ER -