English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Critical Look at β-Function Singularities at Large N

MPS-Authors
/persons/resource/persons207410

Alanne,  Tommi
Florian Goertz - Max Planck Research Group, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

/persons/resource/persons208912

Blasi,  Simone
Florian Goertz - Max Planck Research Group, Junior Research Groups, MPI for Nuclear Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1905.08709.pdf
(Preprint), 429KB

Supplementary Material (public)
There is no public supplementary material available
Citation

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.


Cite as: https://hdl.handle.net/21.11116/0000-0005-42B8-1
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.