Monte Carlo simulations of overlap Majorana fermions

Piemonte, Stefano; Bergner, Georg; Lopez, Camilo

doi:10.1103/physrevd.102.014503

Cited by 10 publications

(9 citation statements)

References 45 publications

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“…Even though it is true that these massive bosons can be re-expressed as gauge-invariant composites, there is no particular reason why precisely these massive bosons and not others should appear at the mass scale ∼ Λ, if the system is in confining, symmetric phase of appendix C. Also, to understand the infrared dynamics, it is indispensable to take into account of the effects of strong anomaly correctly. Its natural form is (3.41), as discussed in the 7 Lattice studies [36][37][38] also seem to confirm this. We thank Stefano Piemonte for bringing these references to our attention.…”

Section: Adjoint Qcd Withsupporting

confidence: 59%

Strong anomaly and phases of chiral gauge theories

Bolognesi

Konishi

Luzio

2021

J. High Energ. Phys.

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We present a simple argument which seems to favor, when applied to a large class of strongly-coupled chiral gauge theories, a dynamical-Higgs-phase scenario, characterized by certain bifermion condensates. Flavor symmetric confining vacua described in the infrared by a set of baryonlike massless composite fermions saturating the conventional ’t Hooft anomaly matching equations, appear instead disfavored. Our basic criterion is that it should be possible to write a strong-anomaly effective action, analogous to the one used in QCD to describe the solution of the U(1)A problem in the low-energy effective action, by using the low-energy degrees of freedom in the hypothesized infrared theory. We also comment on some well-known ideas such as the complementarity and the large N planar dominance in the context of these chiral gauge theories. Some striking analogies and contrasts between the massless QCD and chiral gauge theories seem to emerge from this discussion.

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Section: Adjoint Qcd Withsupporting

confidence: 59%

Strong anomaly and phases of chiral gauge theories

Bolognesi

Konishi

Luzio

2021

J. High Energ. Phys.

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show abstract

“…Lattice studies[36]-[38] also seem to confirm this. We thank Stefano Piemonte for bringing these references to our attention.…”

mentioning

confidence: 61%

Strong anomaly and phases of chiral gauge theories

Bolognesi,

Konishi,

Luzio

2021

Preprint

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We present a simple argument which seems to favor, when applied to a large class of strongly-coupled chiral gauge theories, a dynamical-Higgs-phase scenario, characterized by certain bifermion condensates. Flavor symmetric confining vacua described in the infrared by a set of baryonlike massless composite fermions saturating the conventional 't Hooft anomaly matching equations, appear instead disfavored. Our basic criterion is that it should be possible to write a strong-anomaly effective action, analogous to the one used in QCD to describe the solution of the U (1) A problem in the low-energy effective action, by using the low-energy degrees of freedom in the hypothesized infrared theory. We also comment on some well-known ideas such as the complementarity and the large N planar dominance in the context of these chiral gauge theories. Some striking analogies and contrasts between the massless QCD and chiral gauge theories seem to emerge from this discussion.

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“…In our simulations we implement overlap fermions using a polynomial approximation of order N of the sign function, following the algorithm described in Ref. [20]. At finite N the Ginsparg-Wilson equation Eq.…”

Section: B Lattice Discretizationmentioning

confidence: 99%

Lattice simulations of adjoint QCD with one Dirac overlap fermion

Bergner¹,

López²,

Piemonte³

et al. 2022

Preprint

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In this work we investigate the infrared behaviour of a Yang-Mills theory coupled to a massless fermion in the adjoint representation of the gauge group SU(2). This model has many interesting properties, corresponding to the N = 2 Super-Yang-Mills theory without scalars and in the recent years there has been an increasing interest toward understanding whether confinement and fermion condensation occur at low energy. We simulate the theory on the lattice close to the massless limit using the overlap discretization of the fermion action, allowing a precise and clean study of the chiral symmetry breaking pattern and of the fermion condensate. We present results for the scale setting, the condensate and the running of the coupling constant through the gradient flow -all of them pointing to a theory without an infrared fixed point and remaining confined deep in the infrared regime.

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Monte Carlo simulations of overlap Majorana fermions

Cited by 10 publications

References 45 publications

Strong anomaly and phases of chiral gauge theories

Strong anomaly and phases of chiral gauge theories

Strong anomaly and phases of chiral gauge theories

Lattice simulations of adjoint QCD with one Dirac overlap fermion

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