Flow equation for supersymmetric quantum mechanics

Synatschke, Franziska; Bergner, Georg; Gies, Holger; Wipf, Andreas

doi:10.1088/1126-6708/2009/03/028

Cited by 39 publications

(91 citation statements)

References 42 publications

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“…To find a manifestly supersymmetric flow equation in the off-shell formulation we extend our earlier results on the one-and two-dimensional Wess-Zumino models [13,15] to three dimensions. Since there are no Majorana fermions in three-dimensional Euclidean space we begin with a Minkowski spacetime formulation of the Wetterich equation [37,38]:…”

Section: Flow Equation At Zero Temperaturementioning

confidence: 79%

“…The present study builds on our earlier results on twodimensional supersymmetric field theories at zero temperature [13,14] as well as on supersymmetric quantum mechanics, where we have constructed a manifestly supersymmetric functional RG flow, see [15]. The twodimensional models possess an infinite series of fixed points described by two-dimensional super-conformal theories.…”

Section: Introductionmentioning

confidence: 76%

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N=1Wess-Zumino model ind=3at zero and finite temperature

2010

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Supersymmetric renormalization group (RG) flow equations for the effective superpotential of the three-dimensional Wess-Zumino model are derived at zero and non-zero temperature. This model with fermions and bosons interacting via a Yukawa term possesses a supersymmetric analogue of the Wilson-Fisher fixed-point. At zero temperature we determine the phase-transition line in coupling-constant space separating the supersymmetric from the nonsupersymmetric phase. At finite temperature we encounter dimensional reduction from 3 to 2 dimensions in the infrared regime. We determine the finite-temperature phase diagram for the restoration of the global 2-symmetry and show that for temperatures above the 2 phase-transition the pressure obeys the Stefan-Boltzmann law of a gas of massless bosons in 2 + 1 dimensions.

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Section: Flow Equation At Zero Temperaturementioning

confidence: 79%

Section: Introductionmentioning

confidence: 76%

N=1Wess-Zumino model ind=3at zero and finite temperature

2010

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“…These non-perturbative RG functions have been computed using the functional RG methods formulated in terms of a flow equation for the 1PI effective action [44]. Using a manifestly off-shell supersymmetric regularization [52,53], the functional RG equations for the present model have been derived and analyzed in [54,55] and were extended to arbitrary dimension 2 < d ≤ 4 in [51]. These methods allow for the construction of an RG which is manifestly off-shell supersymmetric at any scale and in any dimension as long as the supersymmetry imposed on the level of the action.…”

Section: Jhep12(2017)132mentioning

confidence: 99%

A functional perspective on emergent supersymmetry

Gies

Hellwig

Wipf

et al. 2017

J. High Energ. Phys.

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Abstract:We investigate the emergence of N = 1 supersymmetry in the long-range behavior of three-dimensional parity-symmetric Yukawa systems. We discuss a renormalization approach that manifestly preserves supersymmetry whenever such symmetry is realized, and use it to prove that supersymmetry-breaking operators are irrelevant, thus proving that such operators are suppressed in the infrared. All our findings are illustrated with the aid of the -expansion and a functional variant of perturbation theory, but we provide numerical estimates of critical exponents that are based on the non-perturbative functional renormalization group.

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“…On the other hand, the matter content of the minimal supersymmetric standard model (N S = 49, N D = 61/2 and N V = 12) seems excluded. Whether this result will be affected when the truncation includes supersymmetric interactions, and also an appropriate regularization scheme [97] is used, is presently unclear.…”

Section: Toward the Real World: Adding Mattermentioning

confidence: 99%

The Renormalization Group flow of unimodular f(R) gravity

Eichhorn

2015

J. High Energ. Phys.

129

101

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Unimodular gravity is classically equivalent to General Relativity. This equivalence extends to actions which are functions of the curvature scalar. At the quantum level, the dynamics could differ. Most importantly, the cosmological constant is not a coupling in the unimodular action, providing a new vantage point from which to address the cosmological constant fine-tuning problem. Here, a quantum theory based on the asymptotic safety scenario is studied, and evidence for an interacting fixed point in unimodular f (R) gravity is found. We study the fixed point and its properties, and also discuss the compatibility of unimodular asymptotic safety with dynamical matter, finding evidence for its compatibility with the matter degrees of freedom of the Standard Model.

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Flow equation for supersymmetric quantum mechanics

Cited by 39 publications

References 42 publications

N=1Wess-Zumino model ind=3at zero and finite temperature

N=1Wess-Zumino model ind=3at zero and finite temperature

A functional perspective on emergent supersymmetry

The Renormalization Group flow of unimodular f(R) gravity

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