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Higher-loop corrections to the pseudoscalar ($0^{-+}$) gluonium correlation function will be used to obtain the leading gluon condensate contributions to the subtraction-independent QCD sum-rules. The effect of these higher-loop corrections…

High Energy Physics - Phenomenology · Physics 2021-07-01 D. Asner , R. B. Mann , J. L. Murison , T. G. Steele

We apply QCD Finite Energy Sum Rules to the scalar-isoscalar current to determine the lightest $u \bar{u} + d \bar{d}$ meson in this channel. We use `pinch-weights' to improve the reliability of the QCD predictions and reduce the…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. N. Cherry , M. R. Pennington

We propose and support the possibility that the shape of topological density 2-point function in pure-glue QCD is crucially, and possibly entirely, determined by the space-time folding (geometry) of the double-sheet sign-coherent structure…

High Energy Physics - Lattice · Physics 2010-01-21 Ivan Horvath , Andrei Alexandru , Thomas Streuer

We study instanton corrections to four-point correlation correlation function of half-BPS operators in $\mathcal N=4$ SYM in the light-cone limit when operators become null separated in a sequential manner. We exploit the relation between…

High Energy Physics - Theory · Physics 2018-01-17 G. P. Korchemsky

I point out that the usual Coleman-de Luccia analysis of tunnelling via instantons between perturbatively stable minima using the thin-wall approximation misses one of the effects of gravitational backreaction on the on-shell action and…

High Energy Physics - Theory · Physics 2011-09-23 Keith Copsey

Recently evidence appeared that instantons and monopoles have a certain local correlation in four-dimensional pure $SU(2)$ and $SU(3)$ gauge theory. We visualize several specific gauge field configurations and show directly that there is an…

High Energy Physics - Lattice · Physics 2009-10-28 M. Feurstein , H. Markum , St. Thurner

We present evidence for unquenching effects in N_f=2, 16^3 32 ensembles by comparing with `equivalent' quenched data at r_0~5.0. A (small) VEV for torelons signals (weak) string breaking. A 15-20 % reduction in the scalar glueball mass…

High Energy Physics - Lattice · Physics 2015-06-25 A. Hart

We construct improved QCD sum rules for the nucleon magnetic moments by implementing direct-instanton contributions to the operator product expansion of the nucleon correlator in a magnetic background field. The instanton contributions are…

High Energy Physics - Phenomenology · Physics 2017-08-23 Hilmar Forkel

We consider the assumption that a tachyonic gluon mass imitates short-distance nonperturbative physics of QCD. The phenomenological implications include modifications of the QCD sum rules for correlators of currents with various quantum…

High Energy Physics - Phenomenology · Physics 2009-10-31 K. G. Chetyrkin , Stephan Narison , V. I. Zakharov

Recently, we have pointed out that sign-coherent 4-dimensional structures can not dominate topological charge fluctuations in QCD vacuum at all scales. Here we show that an enhanced lower-dimensional coherence is possible. In pure SU(3)…

High Energy Physics - Lattice · Physics 2017-08-23 I. Horvath , S. J. Dong , T. Draper , K. F. Liu , N. Mathur , F. X. Lee , H. B. Thacker , J. B. Zhang

Instanton contributions to the Laplace sum-rules for correlation functions of scalar gluonic currents are calculated. The role of the constant low-energy theorem term, whose substantial contribution is unique to the leading Laplace sum-rule…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Harnett , T. G. Steele , V. Elias

The importance of the nonlinear corrections on the momentum sum rule is investigated on the initial scale $Q_{0}^2$. Nonlinear corrections are found to play an indispensable role in the singlet and gluon momentum sum rule in the high-order…

High Energy Physics - Phenomenology · Physics 2024-08-20 G. R. Boroun

The instanton vacuum provides an effective description of chiral symmetry breaking by local topological fluctuations of the gauge fields, as observed in lattice QCD simulations. The resulting effective dynamics at momenta below $1/\bar\rho…

High Energy Physics - Phenomenology · Physics 2025-03-18 Christian Weiss

Nonperturbative Wilson coefficients associated with the leading chiral-symmetry-breaking operators in the operator product expansion of the pseudoscalar QCD correlation function are derived. Implementation of the new, instanton-induced…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hilmar Forkel

Two new QCD sum rules for nucleon tensor charge are derived from a mixed correlator of spin-1/2 and spin-3/2 nucleon interpolating fields. These sum rules are analyzed along with a sum rule obtained from the usual correlator of a general…

High Energy Physics - Phenomenology · Physics 2009-10-30 Xuemin Jin , Jian Tang

We briefly review the key aspect of the QCD instanton vacuum in relation to the quantum breaking of conformal symmetry and the trace anomaly. We use Ji$^\prime s$ invariant mass decomposition of the energy momentum tensor together with the…

High Energy Physics - Phenomenology · Physics 2021-09-29 Ismail Zahed

The detailed analysis of nonperturbative contributions to the electromagnetic quark form factor is performed within the framework of the instanton liquid model (ILM) of the QCD vacuum. The method of the path-ordered Wilson exponentials is…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. E. Dorokhov , I. O. Cherednikov

The screening problem for the Coulomb potential of a charge located in a two-dimensional (2D) system has an intriguing solution with a power law distance screening factor due to out-of-plane electrical fields. This is crucially different…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 K. A. Baryshnikov , A. V. Gert , Yu. B. Vasilyev , A. P. Dmitriev

We smear quenched lattice QCD ensembles with lattice volume $32^3\times 8$ by using Wilson flow. Six ensembles at temperature near the critical temperature $T_c$ corresponding to the critical inverse coupling $\beta_c=6.06173(49)$ are used…

High Energy Physics - Lattice · Physics 2018-07-12 You-Hao Zou , Jian-Bo Zhang , Guang-Yi Xiong

We analyze the topological and fermionic vacuum structure of four-dimensional QCD on the lattice by means of correlators of fermionic observables and topological densities. We show the existence of strong local correlations between the…

High Energy Physics - Lattice · Physics 2009-10-31 W. Sakuler , S. Thurner , H. Markum