The negativity of the overlap-based topological charge density correlator in pure-glue QCD and the non-integrable nature of its contact part

Horváth, I.; Alexandru, Andrei; Zhang, J.B.; Chen, Y.; Dong, Shao-Jing; Draper, Terrence; Liu, K.F.; Mathur, Nilmani; Tamhankar, Sonali; Thacker, H.B.

doi:10.1016/j.physletb.2005.04.076

Cited by 56 publications

(104 citation statements)

References 31 publications

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“…The recent Monte Carlo studies of pure glue gauge theory have revealed a laminar structure in the vacuum consisting of extended, thin, coherent, locally low-dimensional sheets of topological charge embedded in 4d space, with opposite sign sheets interleaved, see original QCD lattice results [56,[63][64][65]. A similar structure has been also observed in QCD by a different group [57] and also in two dimensional CP N −1 model [66].…”

Section: B Insights From Numerical Lattice Simulations and Holographmentioning

confidence: 59%

“…It is important to emphasize that the singular behaviour of the contact term ∼ δ 4 (x) is not an artifact of any approximations, in spite of the fact that this behaviour was established in simplified models: in the "deformed QCD" [46] and in the Veneziano model (19). This singular behaviour and the vanishing width (in continuum limit) of the contact term have been observed in the lattice simulations [56][57][58][59][60].…”

Section: B Insights From Numerical Lattice Simulations and Holographmentioning

confidence: 68%

“…This formula being derived in strongly coupled QCD using the effective ghost description can be compared with the lattice results, see detail studies of this question in refs. [56][57][58][59][60]. In particular, one can explicitly see that the singular behaviour of the contact term is not an artifact of any approximation, but an inherent feature of underlying gauge theory.…”

Section: A Topological Susceptibilitymentioning

confidence: 92%

“…In different words, the axion field a is not expandable in terms of some asymptotic states (pseudoscalar glueballs), and can not be described with a canonical kinetic term. Though these fields can not be associated with propagating degrees of freedom, the corresponding "non-dispersive" fluctuations are obviously present in lattice Monte Carlo simulations [56][57][58][59][60].…”

Section: A Topological Susceptibilitymentioning

confidence: 99%

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Local violation effects and thermalization in QCD: Views from quantum field theory and holography

Zhitnitsky

2012

Nuclear Physics A

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We argue that the local violation of P and CP invariance in heavy ion collisions and the universal thermal aspects observed in high energy collisions are in fact two sides of the same coin, and both are related to quantum anomalies of QCD. We argue that the low energy relations representing the quantum anomalies of QCD are saturated by coherent low dimensional vacuum configurations as observed in Monte Carlo lattice studies. The thermal spectrum and approximate universality of the temperature with no dependence on energy of colliding particles in this framework is due to the fact that the emission results from the distortion of these low dimensional vacuum sheets rather than from the colliding particles themselves. The emergence of the long-range correlations of P odd domains (a feature which is apparently required for explanation of the asymmetry observed at RHIC and LHC) is also a result of the same distortion of the QCD vacuum configurations. We formulate the corresponding physics using the effective low energy effective Lagrangian. We also formulate the same physics in terms of the dual holographic picture when low-dimensional sheets of topological charge embedded in 4d space, as observed in Monte Carlo simulations, are identified with D2 branes. Finally, we argue that study of these long range correlations in heavy ion collisions could serve as a perfect test of a proposal that the observed dark energy in present epoch is a result of a tiny deviation of the QCD vacuum energy in expanding universe from its conventional value in Minkowski spacetime.

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Section: B Insights From Numerical Lattice Simulations and Holographmentioning

confidence: 59%

Section: B Insights From Numerical Lattice Simulations and Holographmentioning

confidence: 68%

Section: A Topological Susceptibilitymentioning

confidence: 92%

Section: A Topological Susceptibilitymentioning

confidence: 99%

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Local violation effects and thermalization in QCD: Views from quantum field theory and holography

Zhitnitsky

2012

Nuclear Physics A

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“…On the other hand the correlator Q(x)Q(0) is negative for x = 0 as shown in [54][55][56]. Also on the lattice this correlator is negative [57][58][59]. Then part of the contact divergences must add up to the total topological susceptibility in order to make it positive.…”

Section: Rlatticementioning

confidence: 99%

Behaviour of the topological susceptibility in two colour QCD across the finite density transition

2006

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The behaviour of the topological susceptibility χ in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of χ drops abruptly at a critical chemical potential µ c , much as it happens at the finite temperature and zero density transition. The Polyakov loop and the chiral condensate undergo their transitions at the same critical value µ c . At a value µ s of the chemical potential, called saturation point, which in our case satisfies µ s > µ c , Pauli blocking supervenes and consequently the theory becomes quenched.

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Topological Structure of the QCD Vacuum Revealed by Overlap Fermions

Ilgenfritz

Koller

Koma

et al. 2010

High Performance Computing in Science and Engineering, Garching/Munich 2009

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Overlap fermions preserve a remnant of chiral symmetry on the lattice. They are a powerful tool to investigate the topological structure of the vacuum of Yang-Mills theory and full QCD. Recent results concerning the localization of topological charge and the localization and local chirality of the overlap eigenmodes are reported. The charge distribution is radically different, if a spectral cut-off for the Dirac eigenmodes is applied. The density q(x) is changing from the scale-a charge density (with full lattice resolution) to the ultraviolet filtered charge density. The scale-a density, computed on the Linux cluster of LRZ, has a singular, sign-coherent global structure of co-dimension 1 first described by the Kentucky group. We stress, however, the cluster properties of the UV filtered topological density resembling the instanton picture. The spectral cut-off can be mapped to a bosonic smearing procedure. The UV filtered field strength reveals a high degree of (anti)selfduality at "hot spots" of the action. The fermionic eigenmodes show a high degree of local chirality. The lowest modes are seen to be localized in low-dimensional space-time regions.Comment: 13 pages, 11 figures, accepted to appear in the Proceedings of "HLRB, KONWIHR and Linux-Cluster: Review, Results and Future Projects Workshop", Leibniz Rechenzentrum Munich, December 200

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The negativity of the overlap-based topological charge density correlator in pure-glue QCD and the non-integrable nature of its contact part

Cited by 56 publications

References 31 publications

Local violation effects and thermalization in QCD: Views from quantum field theory and holography

Local violation effects and thermalization in QCD: Views from quantum field theory and holography

Behaviour of the topological susceptibility in two colour QCD across the finite density transition

Topological Structure of the QCD Vacuum Revealed by Overlap Fermions

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