# Five-dimensional CFTs from the $\epsilon$-expansion

@inproceedings{Cesare2021FivedimensionalCF, title={Five-dimensional CFTs from the \$\epsilon\$-expansion}, author={Fabiana De Cesare and Lorenzo Di Pietro and Marco Serone}, year={2021} }

We look for UV fixed points of non-abelian SU(nc) gauge theories in 4+2 dimensions with nf Dirac fermions in the fundamental representation, using the available fiveloop MS β-function and employing Padé-Borel resummation techniques and Padé approximants to the series expansion in . We find evidence for a 5d UV-fixed point for SU(2) theories with nf ≤ 4 and pure SU(nc) theories for nc ≤ 4. We also compute the anomalous dimensions γ and γg of respectively the fermion mass bilinear and the gauge… Expand

#### References

SHOWING 1-10 OF 37 REFERENCES

Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators

- Physics
- 2017

A bstractWe extend the Oαs5$$ \mathcal{O}\left({\alpha}_s^5\right) $$ result of the analytic calculation of the quark mass anomalous dimension in pQCD [1] to the case of a generic gauge group. We… Expand

Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM

- Physics
- 2019

We study supersymmetry breaking deformations of the N $$ \mathcal{N} $$ = 1 5d fixed point known as E 1 , the UV completion of SU(2) super-Yang-Mills. The phases of the non- supersymmetric theory can… Expand

The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

- Physics
- 2017

A bstractWe focus on a non-abelian gauge field coupled to a single (but general) representation of a family of Nf fermions. By using the same machinery that had allowed us to evaluate the sub-leading… Expand

Renormalizable extra-dimensional models

- Physics
- 2005

Non-Abelian gauge theories may have continuum limits in more than four dimensions, supported by non-trivial ultra-violet fixed points. Moreover, such theories can be expected to be accessible to… Expand

The five-loop beta function of Yang-Mills theory with fermions

- Physics
- 2017

A bstractWe have computed the five-loop corrections to the scale dependence of the renormalized coupling constant for Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories… Expand

Fermion conformal bootstrap in 4d

- Physics
- Journal of High Energy Physics
- 2019

A bstractWe apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE… Expand

Five dimensional SUSY field theories, non-trivial fixed points and string dynamics

- Physics
- 1996

Abstract We study (non-renormalizable) five dimensional supersymmetric field theories. The theories are parametrized by quark masses and a gauge coupling. We derive the metric on the Coulomb branch… Expand

On Existence of Non-Renormalizable Field Theory -- Pure SU(2) Lattice Gauge Theory in Five Dimensions--

- Physics
- 1992

We have examined whether a non-renormalizable field theory can have a non-trivial fixed point. As a simple example, SU(2) pure Yang-Mills theory in five dimensions is considered with a lattice… Expand

Five-loop renormalisation of QCD in covariant gauges

- Physics
- 2017

A bstractWe present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge… Expand

Three loop analysis of the critical O (N) models in 6-ε dimensions

- Physics
- 2015

We continue the study, initiated in arXiv:1404.1094, of the $O(N)$ symmetric theory of $N+1$ massless scalar fields in $6-\epsilon$ dimensions. This theory has cubic interaction terms $\frac{1}{2}g_1… Expand