Four fermion interactions in non-Abelian gauge theory

Catterall, Simon; Veernala, Aarti

doi:10.1103/physrevd.87.114507

Cited by 10 publications

(13 citation statements)

References 32 publications

(32 reference statements)

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“…It would interesting to extend the results beyond the perturbative regime via, for example, first principle lattice simulations [38][39][40][41][42]. An alternative limit is QCD for fixed N c and large N f where, for the theory without scalars, at leading order 1/N f , an UV asymptotically safe fixed point seems also to appear [1,2].…”

Section: Jhep11(2015)023mentioning

confidence: 99%

Supersymmetric asymptotic safety is not guaranteed

Intriligator

Sannino

2015

J. High Energ. Phys.

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It was recently shown that certain perturbatively accessible, nonsupersymmetric gauge-Yukawa theories have UV asymptotic safety, without asymptotic freedom: the UV theory is an interacting RG fixed point, and the IR theory is free. We here investigate the possibility of asymptotic safety in supersymmetric theories, and use unitarity bounds, and the a-theorem, to rule it out in broad classes of theories. The arguments apply without assuming perturbation theory. Therefore, the UV completion of a non-asymptotically free susy theory must have additional, non-obvious degrees of freedom, such as those of an asymptotically free (perhaps magnetic dual) extension.

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Section: Jhep11(2015)023mentioning

confidence: 99%

Supersymmetric asymptotic safety is not guaranteed

Intriligator

Sannino

2015

J. High Energ. Phys.

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“…It is natural to expect that at strong NJL coupling the four fermion interaction induce chiral symmetry breaking. A similar model with no infrared conformal phase has been studied in [48,49].…”

Section: Introductionmentioning

confidence: 99%

Ideal walking dynamics via a gauged NJL model

2017

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According to the Ideal Walking Technicolor paradigm large mass anomalous dimensions arise in gauged Nambu-Jona-Lasinio (NJL) models when the four-fermion coupling is sufficiently strong to induce spontaneous symmetry breaking in an otherwise conformal gauge theory. We therefore study the SU (2) gauged NJL model with two adjoint fermions using lattice simulations. The model is in an infrared conformal phase at small NJL coupling while it displays a chirally broken phase at large NJL couplings. In the infrared conformal phase we find that the mass anomalous dimension varies with the NJL coupling reaching γm ∼ 1 close to the chiral symmetry breaking transition, de facto making the present model the first explicit realization of the Ideal Walking scenario.

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“…Beyond perturbation theory one can use first principle lattice studies [11][12][13][14][15] for which our results can be viewed exploratory in nature.…”

Section: The Composite Facet Of Gauge Yukawa Theoriesmentioning

confidence: 99%

“…We will here consider the subspace of theories represented by the Lagrangian in Eqs. (14) and (15). The compositeness conditions on the couplings were given in Eq.…”

Section: Appendix A: General Analytic Analysis Of the Compositeness Cmentioning

confidence: 99%

Four-fermion limit of gauge-Yukawa theories

2015

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We elucidate and extend the conditions that map gauge-Yukawa theories at low energies into time-honoured gauged four-fermion interactions at high energies. These compositeness conditions permit to investigate theories of composite dynamics through gauge-Yukawa theories. Here we investigate whether perturbative gauge-Yukawa theories can have a strongly coupled limit at high-energy, that can be mapped into a four-fermion theory. Interestingly, we are able to precisely carve out a region of the perturbative parameter space supporting such a composite limit. This has interesting implications on our current view on models of particle physics. As a template model we use an SU(N C ) gauge theory with N F Dirac fermions transforming according to the fundamental representation of the gauge group. The fermions further interact with a gauge singlet complex N F × N F Higgs that ceases to be a physical degree of freedom at the ultraviolet composite scale, where it gives away to the four-fermion interactions. We compute the hierarchy between the ultraviolet and infrared composite scales of the theory and show that they are naturally large and well separated. Our results show that some weakly coupled gauge-Yukawa theories can be viewed, in fact, as composite theories. It is therefore tantalising to speculate that the standard model, with its phenomenological perturbative Higgs sector, could hide, in plain sight, a composite theory.

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Four fermion interactions in non-Abelian gauge theory

Cited by 10 publications

References 32 publications

Supersymmetric asymptotic safety is not guaranteed

Supersymmetric asymptotic safety is not guaranteed

Ideal walking dynamics via a gauged NJL model

Four-fermion limit of gauge-Yukawa theories

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