Running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions

Bergner, Georg; Piemonte, Stefano

doi:10.1103/physrevd.97.074510

Cited by 14 publications

(10 citation statements)

References 89 publications

(143 reference statements)

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“…To rule in or out conformality-or our proposal-one should further improve the lattice studies of [16] and study other indications of conformality. These indications include: (i) the running coupling on the lattice in the n f = 2 theory, as done for n f = 4 in [20] (we note that, recently, [21] found no IR fixed point for n f = 2 in the range of masses studied), (ii) the area vs. perimeter law for the Wilson loop, as advocated in [22], and (iii) the expected nontrivial properties of domain walls, which should be present in any phase with broken chiral symmetry.…”

Section: Introductionmentioning

confidence: 99%

Two-flavor adjoint QCD

2018

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We study four dimensional SU (2) Yang-Mills theory with two massless adjoint Weyl fermions. When compactified on a spatial circle of size L much smaller than the strong-coupling scale, this theory can be solved by weak-coupling nonperturbative semiclassical methods. We study the possible realizations of symmetries in the R 4 limit and find that all continuous and discrete 0-form and 1form 't Hooft anomaly matching conditions are saturated by a symmetry realization and massless spectrum identical to that found in the small-L limit, with only a single massless flavor-doublet fermion in the infrared. This observation raises the possibility that the class of theories which undergo no phase transition between the analytically-solvable small-size circle and strongly-coupled infinite-size circle is larger than previously thought, and offers new challenges for lattice studies.

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Section: Introductionmentioning

confidence: 99%

Two-flavor adjoint QCD

2018

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“…For an infrared conformal theory the coupling runs very slowly for a wide range of scales at low µ, and there the anomalous dimension γ varies slowly, too, approximatively developing a plateau at the value γ * . Investigations of the β-function in the MiniMOM scheme for this theory [21] indicate that the N f = 3/2 theory appears to be close to the edge of the conformal window.…”

Section: Mode Numbermentioning

confidence: 99%

Low energy properties of SU(2) gauge theory with Nf = 3/2 flavours of adjoint fermions

Bergner¹,

Giudice

Münster

et al. 2018

J. High Energ. Phys.

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In this work we present the results of a numerical investigation of SU(2) gauge theory with N f = 3/2 flavours of fermions, corresponding to 3 Majorana fermions, which transform in the adjoint representation of the gauge group. At two values of the gauge coupling, the masses of bound states are considered as a function of the fundamental fermion mass, represented by the PCAC quark mass. The scaling of bound states masses indicates an infrared conformal behaviour of the theory. We obtain estimates for the fixedpoint value of the mass anomalous dimension γ * from the scaling of masses and from the scaling of the mode number of the Wilson-Dirac operator. The difference of the estimates at the two gauge couplings should be due to scaling violations and lattice spacing effects. The more reliable estimate at the smaller gauge coupling is γ * ≈ 0.38(2).

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“…Recent numerical investigations have shown some evidence that the model could be already near the conformal window [49], see also [24] for a recent theoretical analysis. The running of the strong coupling has been found to be, however, quite different from zero [50]. The spectrum of the theory has a light 0 ++ glueball and an heavier pion(gluino-ball), while the opposite occurs in the QCD bound spectrum.…”

Section: N F = 2 Qcd(adj)mentioning

confidence: 92%

Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice

Bergner

Piemonte

Ünsal

2018

J. High Energ. Phys.

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This work is a step towards merging the ideas that arise from semiclassical methods in continuum QFT with analytic/numerical lattice field theory. In this context, we consider Yang-Mills theories coupled to fermions in the adjoint representation. These theories have the remarkable property that confinement and discrete chiral symmetry breaking can persist at weak coupling on small (non-thermal) R 3 × S 1 . This work presents a lattice investigation of Yang-Mills with one-adjoint Majorana fermion, N = 1 super Yang-Mills, and opens the prospect to understand a number of non-perturbative phenomena, such as the mechanism of confinement, mass gap, chiral and center symmetry realizations both in lattice and continuum analytically. We study the compactification of this theory on the lattice with periodic and thermal boundary conditions. We provide numerical evidence for the conjectured absence of the phase transitions with periodic boundary conditions for sufficiently light lattice fermions (stability of center-symmetry), suppression of the chiral transition, and also provide a diagnostic for abelian vs. non-abelian confinement, based on persite Polyakov loop eigenvalue distribution functions. In numerical and perturbative investigations we identify the role of the lattice artefacts that become relevant in the very small radius regime, and resolve some puzzles in the naive comparison between continuum and lattice.

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Running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions

Cited by 14 publications

References 89 publications

Two-flavor adjoint QCD

Two-flavor adjoint QCD

Low energy properties of SU(2) gauge theory with Nf = 3/2 flavours of adjoint fermions

Adiabatic continuity and confinement in supersymmetric Yang-Mills theory on the lattice

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