Extracting 〈(α/π) Σa,μνGμνaGμνa〉 from gauge theories on a lattice

Giacomo, A. Di; Rossi, G.C.

doi:10.1016/0370-2693(81)90609-2

Cited by 172 publications

(82 citation statements)

References 9 publications

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“…Gubarev the gluon condensate in SU(2) gluodynamics [20]. We qualitatively conclude therefore that gluon condensate vanishes on the symmetry axis of well developed confining string.…”

Section: Pos(confinement8)018supporting

confidence: 56%

Width of the confining string

Gubarev¹

2012

Proceedings of VIIIth Conference Quark Confinement and the Hadron Spectrum — PoS(ConfinementVIII)

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We critically reconsider our recent observation of confining string shrinkage in pure glue SU(2) lattice gauge theory near the continuum limit. Using the advanced numerical techniques we argue that imperfect overlap with the string ground state and corresponding ambiguities in T → ∞ extrapolation are likely to be the cause of the observed scaling violations. In particular, even in the limit of large Euclidean times the string shrinkage is apparent in torelon correlation function, however, in this case the best relevant overlap we could attain is ∼ 50%. To the contrary, when the ground state is selected properly the string width scales in physical units being ≈ 0.3 fm for 1 fm long confining string. 8th Conference Quark Confinement and the Hadron Spectrum

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“…Gubarev the gluon condensate in SU(2) gluodynamics [20]. We qualitatively conclude therefore that gluon condensate vanishes on the symmetry axis of well developed confining string.…”

Section: Pos(confinement8)018supporting

confidence: 56%

Width of the confining string

Gubarev¹

2012

Proceedings of VIIIth Conference Quark Confinement and the Hadron Spectrum — PoS(ConfinementVIII)

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“…It is well known that the gluon condensate, from which glueball is thought to be made of, can only be determined in a nonperturbative formulation of QCD. So far various attempts have been made to determine gluon condensate from first principles [6], [7], [8], [9]. We refer the reader to Ref.…”

Section: Scalar Toy Model Of Glueballmentioning

confidence: 99%

Scalar model of glueball in nonperturbative quantisation à la heisenberg

Dzhunushaliev¹,

Makhmudov²

2015

INT J MATH PHYS

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Abstract. A scalar model of glueball is considered. The model is based on two scalar fields approximation for SU(3) non-Abelian Lagrangian. The approach to approximation makes use of the assumption that 2 and 4-points Green's functions are described in terms of some two scalar fields. The model is described via non-perturbative method due to value of coupling constant, which does not permit us using of Feynman diagrams and therefore of perturbative methods. Asymptotical behaviour of the scalar fields are obtained. Profiles of these fileds calculated for a range of values of a parameter of the problem is given. Detailed numerical investigation of corresponding equations describing this model is performed. The dependence of the glueball mass vs parameters of scalar fields is shown. Comparison of characteristics of glueball obtained in our two-scalar model and predictions of other models and experimental data for glueball is performed.

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“…This compares well with our considerations as follows. The intrinsic scale of lattice gauge theories is provided by the string tension χ [29] (or equivalently by the gauge field condensate [30] as in the continuum Yang-Mills theory). Our investigations suggest that a finite size phase transition occurs if…”

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confidence: 99%

Casimir effect of strongly interacting scalar fields

1995

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Non-trivial φ 4 -theory is studied in a renormalisation group invariant approach inside a box consisting of rectangular plates and where the scalar modes satisfy periodic boundary conditions at the plates. It is found that the Casimir energy exponentially approaches the infinite volume limit, the decay rate given by the scalar condensate. It therefore essentially differs from the power law of a free theory. This might provide experimental access to properties of the non-trivial vacuum. At small interplate distances the system can no longer tolerate a scalar condensate, and a first order phase transition to the perturbative phase occurs. The dependence of the vacuum energy density and the scalar condensate on the box dimensions are presented.

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Extracting 〈(α/π) Σa,μνGμνaGμνa〉 from gauge theories on a lattice

Cited by 172 publications

References 9 publications

Width of the confining string

Width of the confining string

Scalar model of glueball in nonperturbative quantisation à la heisenberg

Casimir effect of strongly interacting scalar fields

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