The β-function for Yukawa theory at large Nf

Alanne, Tommi; Blasi, Simone

doi:10.1007/jhep08(2018)081

“…The large N f dynamics of gauge-fermion theories has been extended to gauge-Yukawa theories starting with the Yukawa sector [25][26][27] and for the first time to all couplings in [28,29]. A gauge-less study appeared in [30]. The results widened the palette of tools and theories at our disposal for novel large N f safe extensions of the SM [7,28,[31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Asymptotically safe Pati-Salam theory

Molinaro

¹

,

Sannino

²

,

Wang

³

2018

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We provide an asymptotically safe Pati-Salam embedding of the standard model. Safety is achieved by adding to the theory gauged vectorlike fermions and by employing recently developed large number-offlavor techniques and results. We show that the gauge, scalar quartic and Yukawa couplings achieve an interacting ultraviolet fixed point below the Planck scale. The minimal model is a relevant example of a standard model extension in which unification of all type of couplings occurs because of a dynamical principle, i.e., the presence of an ultraviolet fixed point. This extension differs from the usual grand unified theories scenario in which only gauge couplings unify and become free with the remaining couplings left unsafe. We find renormalization group flow solutions that match the standard model couplings values at low energies allowing for realistic safe extensions of the standard model.

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“…[25], there is no nontrivial fixed point in a U (1) gauge theory for N f = 4 [15]. As has been shown in the literature [13][14][15][16], the large N f models can provide other possibilities; in Ref. [13], the beta function of spinor QED has been calculated at the leading order in 1/N f , and the result suggests that there might be nontrivial (UV and IR) fixed points.…”

Section: Introductionmentioning

confidence: 68%

“…. ), which usually can be dealt with by Cauchy principal value prescription [15,16]. Assuming this prescription, it can be shown that there are a UV fixed point at g 7/2 and a symmetric IR fixed point at g 7/2 (with the explicit value depending on the value of N f ).…”

Section: Discussionmentioning

confidence: 99%

“…Generally apart from the first few coefficients of the beta functions, we know little about them. Therefore it's meaninga e-mail: zhengzy@itp.ac.cn b e-mail: denggaige@gzhu.edu.cn ful to study the large order behaviour of quantum field theory under some approximation [13][14][15][16]. An essential point, in the investigation of the large order behaviour of field theories, is whether the results obtained are convergent.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Background field method in the large $$N_f$$ N f expansion of scalar QED

Zheng

¹

,

Deng

²

2019

Eur. Phys. J. C

1

0

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Using the background field method, we, in the large N f approximation, calculate the beta function of scalar quantum electrodynamics at the first nontrivial order in 1/N f by two different ways. In the first way, we get the result by summing all the graphs contributing directly. In the second way, we begin with the Borel transform of the related two point Green's function. The main results are that the beta function is fully determined by a simple function and can be expressed as an analytic expression with a finite radius of convergence, and the scheme-dependent renormalized Borel transform of the two point Green's function suffers from renormalons.

show abstract

“…Generally apart from the first few coefficients of the beta functions, we know little about them. Therefore it's meaningful to study the large order behaviour of quantum field theory under some approximation [12][13][14][15]. An essential point, in the investigation of the large order behaviour of field theories, is whether the results obtained are convergent.…”

Section: Introductionmentioning

confidence: 99%

Background field method in the large $N_f$ expansion of scalar QED

Zheng,

Deng

2018

Preprint

0

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Using the background field method, we, in the large N f approximation, calculate the beta function of scalar quantum electrodynamics at the first nontrivial order in 1/N f by two different ways. In the first way, we get the result by summing all the graphs contributing directly. In the second way, we begin with the Borel transform of the related two point Green's function. The main results are that the beta function is fully determined by a simple function and can be expressed as an analytic expression with a finite radius of convergence, and the scheme-dependent renormalized Borel transform of the two point Green's function suffers from renormalons.

show abstract

The β-function for Yukawa theory at large Nf

Cited by 15 publications

References 21 publications

Asymptotically safe Pati-Salam theory

Asymptotically safe Pati-Salam theory

Background field method in the large $$N_f$$ N f expansion of scalar QED

Background field method in the large $N_f$ expansion of scalar QED

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