A functional perspective on emergent supersymmetry

Gies, Holger; Hellwig, Tobias; Wipf, Andreas; Zanusso, Omar

doi:10.1007/jhep12(2017)132

Cited by 33 publications

(31 citation statements)

References 69 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We observe a good agreement between the available estimates from the conformal bootstrap approach [35], the FRG [40] and our results. Finally, we would like to comment on the replica limit for our GNY model, N → 0, which has been argued to be applicable to the transition from a relativistic semi-metallic state to a diffusive metallic phase in a 3D Weyl semi-metal [23].…”

Section: A Chiral Ising Modelsupporting

confidence: 70%

Four-loop critical exponents for the Gross-Neveu-Yukawa models

et al. 2017

View full text Add to dashboard Cite

We study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in 4 − ϵ dimensions and compute critical exponents for the GrossNeveu-Yukawa fixed points to order Oðϵ 4 Þ. Further, we provide Padé estimates for the correlation length exponent, the boson and fermion anomalous dimension, as well as the leading correction to scaling exponent in 2 þ 1 dimensions. We also confirm the emergence of supersymmetric field theories at four loops for the chiral Ising and the chiral XY models with N ¼ 1=4 and N ¼ 1=2 fermions, respectively. Furthermore, applications of our results relevant to various quantum transitions in the context of Dirac and Weyl semimetals are discussed, including interaction-induced transitions in graphene and surface states of topological insulators.

show abstract

Section: A Chiral Ising Modelsupporting

confidence: 70%

Four-loop critical exponents for the Gross-Neveu-Yukawa models

et al. 2017

View full text Add to dashboard Cite

show abstract

“…We take the potential to be v = λ 4! ϕ 4 , therefore using d = 4 − and n = 2 in (29), which means that a rescaling v → 4 c v is understood, we find that the flow of the coupling λ becomes the well-known beta function…”

Section: Example: the Universality Class Of The Critical Ising Model mentioning

confidence: 85%

Multi-Critical Multi-Field Models: A CFT Approach to the Leading Order

et al. 2019

Self Cite

View full text Add to dashboard Cite

We present some general results for the multi-critical multi-field models in d > 2 recently obtained using conformal field theory (CFT) and Schwinger–Dyson methods at the perturbative level without assuming any symmetry. Results in the leading non trivial order are derived consistently for several conformal data in full agreement with functional perturbative renormalization group (RG) methods. Mechanisms like emergent (possibly approximate) symmetries can be naturally investigated in this framework.

show abstract

“…Our discussion has largely utilized the supersymmetry of the effective stochastic IR action of a light scalar in de Sitter. It would be interesting to examine if and to what extent the stochastic nature of the IR dynamics is another example of an emergent IR supersymmetry such as that recently studied in [44]. [17]; for more details see the e.g.…”

Section: Summary and Discussionmentioning

confidence: 99%

Functional renormalization group for stochastic inflation

Prokopec

Rigopoulos

2018

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

We apply the functional renormalization group to Starobinsky's stochastic equation describing the local dynamics of a light scalar field in de Sitter. After elaborating on the over-damped regime of stochastic dynamics, we introduce an effective average action for the stochastic field, resulting by progressively integrating out frequencies, and study its flow equation in the local potential approximation (LPA). This effective action determines the approach to equilibrium and allows for the computation of unequal time correlators φ(t)φ(t + ∆t) for large values of ∆t. The stochastic RG flow in the LPA can be formulated in two ways, one that preserves the stochastic supersymmetry and one that breaks it. We show that both predict a characteristic decay time very close to that determined by the dynamical mass for a massless self-interacting scalar in de Sitter m 2 ∼ √ λH 2 . Furthermore, the temporal supersymmetric formulation remarkably recovers the flow for the effective potential found using Quantum Field Theory methods and a smoothing over spatial wavelengths. We also discuss how the stochastic framework generically predicts an infrared mass which is a few percent smaller than the dynamical mass obtained in the LPA. Our results further support the notion that stochastic inflation captures the correct IR dynamics of light scalar fields in inflation.1 In this paper we write the quartic interation as λ 4 φ 4 .

show abstract

A functional perspective on emergent supersymmetry

Cited by 33 publications

References 69 publications

Four-loop critical exponents for the Gross-Neveu-Yukawa models

Four-loop critical exponents for the Gross-Neveu-Yukawa models

Multi-Critical Multi-Field Models: A CFT Approach to the Leading Order

Functional renormalization group for stochastic inflation

Contact Info

Product

Resources

About