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  Critical Look at β-Function Singularities at Large N

Alanne, T., Blasi, S., & Dondi, N. A. (2019). Critical Look at β-Function Singularities at Large N. Physical Review Letters, 123(13): 131602. doi:10.1103/PhysRevLett.123.131602.

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1905.08709.pdf (Preprint), 429KB
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 Creators:
Alanne, Tommi1, Author           
Blasi, Simone1, Author           
Dondi, Nicola Andrea, Author
Affiliations:
1Florian Goertz - Max Planck Research Group, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society, ou_2497691              

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Free keywords: High Energy Physics - Theory, hep-th,High Energy Physics - Phenomenology, hep-ph
 Abstract: We propose a self-consistency equation for the $\beta$-function for theories
with a large number of flavours, $N$ , that exploits all the available
information in the critical exponent, $\omega$, truncated at a fixed order in
$1/N$. We show that singularities appearing in critical exponents do not
necessarily imply singularities in the $\beta$-function. We apply our method to
(non-)abelian gauge theory, where $\omega$ features a negative singularity. The
singularities in the $\beta$-function and in the fermion mass anomalous
dimension are simultaneously removed providing no hint for a UV fixed point in
the large-$N$ limit.

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 Dates: 2019-09-27
 Publication Status: Published online
 Pages: 6 pages, 4 figures
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 123 (13) Sequence Number: 131602 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1