Fetching the paper…

Reading the bibliography…

2018

The $\beta$-function for Yukawa theory at large $N_f$

Alanne, Tommi, Blasi, Simone

Original
PDF
Post on X

Understand

We compute the $\beta$-function for a massless Yukawa theory in a closed form at the order $\mathcal{O}(1/N_f)$ in the spirit of the expansion in a large number of flavours $N_f$.

We find an analytic expression with a finite radius of convergence, and the first singularity occurs at the coupling value $K=5$.

The $\beta$-function for Yukawa theory at large $N_f$ · Around

Built on

D. J. Gross and F. Wilczek, Asymptotically Free Gauge Theories - I
1973
Earlier work this paper cites.
H. D. Politzer, Reliable Perturbative Results for Strong Interactions?
1973
Earlier work this paper cites.
D. Espriu, A. Palanques-Mestre, P. Pascual, and R. Tarrach, The γ \gamma Function in the 1/ N f N_{f} Expansion
1982
Earlier work this paper cites.
A. Palanques-Mestre and P. Pascual, The 1/ N F N_{\mathrm{F}} Expansion of the γ \gamma and Beta Functions in QED
1984
Earlier work this paper cites.
J. A. Gracey, Calculation of exponent eta to O(1/N**2) in the O(N) Gross-Neveu model
1991
Earlier work this paper cites.
A. N. Vasiliev, S. E. Derkachov, N. A. Kivel, and A. S. Stepanenko, The 1/n expansion in the Gross-Neveu model: Conformal bootstrap calculation of the index eta in order 1/n**3
1993
Earlier work this paper cites.
J. A. Gracey, The QCD β \beta -function at O(1/ N f N_{f} )
1996
Earlier work this paper cites.

Similar

A. V. Kotikov, The Gegenbauer polynomial technique: The Evaluation of a class of Feynman diagrams
1996
Cited alongside, same era.
A. G. Grozin, Lectures on multiloop calculations
2004
Cited alongside, same era.
B. Holdom, Large N flavor beta-functions: a recap
Original
2011
Cited alongside, same era.
D. F. Litim and F. Sannino, Asymptotic safety guaranteed
Original
2014
Cited alongside, same era.
R. Shrock, Study of Possible Ultraviolet Zero of the Beta Function in Gauge Theories with Many Fermions
Original
2014
Cited alongside, same era.

Then

J. A. Gracey, Critical exponent ω \omega in the Gross-Neveu-Yukawa model at O ⁡ ( 1 / N ) O(1/N)
Original
2017
Later among the works it cites.
N. Zerf, L. N. Mihaila, P. Marquard, I. F. Herbut, and M. M. Scherer, Four-loop critical exponents for the Gross-Neveu-Yukawa models
Original
2017
Later among the works it cites.
O. Antipin and F. Sannino, Conformal Window 2.0: The large N f N_{f} safe story
Original
2018
Closest in time.
G. M. Pelaggi, A. D. Plascencia, A. Salvio, F. Sannino, J. Smirnov, and A. Strumia, Asymptotically Safe Standard Model Extensions?
Original
2018
Closest in time.
K. Kowalska and E. M. Sessolo, Gauge contribution to the 1/N F
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

A. Eichhorn, A. Held, and J. M. Pawlowski, Quantum-gravity effects on a Higgs-Yukawa model

2016

Cited alongside, same era.

R. Mann, J. Meffe, F. Sannino, T. Steele, Z.-W. Wang, and C. Zhang, Asymptotically Safe Standard Model via Vectorlike Fermions

2017

Cited alongside, same era.

O. Antipin, N. A. Dondi, F. Sannino, A. E. Thomsen, and Z.-W. Wang, Gauge-Yukawa theories: Beta functions at large N f N_{f}

Cited in the paper.

2018

Closest in time.

A. N. Manashov and M. Strohmaier, Correction exponents in the Gross–Neveu–Yukawa model at 1 / N 2 1/N^{2}

2018

Closest in time.