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We consider four-parameter $D=4,N=2$ string models with Hodge numbers $(4,214- 12n)$ and $(4,148)$, and we express their perturbative Wilsonian gravitational coupling $F_1$ in terms of Siegel modular forms.

High Energy Physics - Theory · Physics 2009-10-30 G. L. Cardoso

The Wilson contour integral approach is applied to resum the soft gluon radiative correctins to the quark form factors in the Sudakov regime. The one-loop order results for the quark-photon (color singlet form factor) and quark-gluon (color…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor O. Cherednikov

By introducing auxiliary fields, which by their quantum numbers vanish in perturbation theory, we relate the dynamical perturbation theory of Pagels and Stokar and a successful gauged nonlocal constituent quark model to $U(N)$ gauge theory…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. Holdom , Qing Wang

We reconsider the cosmic string perturbative solution to the classical fourth-order gravity field equations, obtained in Ref.\cite{CLA94}, and we obtain that static, cylindricaly symmetric gauge cosmic strings, with constant energy density,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Manuela Campanelli

The theory of phase ordering kinetics for the O(2) model using the gaussian auxiliary field approach is reexamined from two points of view. The effects of fluctuations about the ordering field are included and we organize the theory such…

Condensed Matter · Physics 2009-10-28 Gene F. Mazenko , Robert A. Wickham

Nonlocal gluon condensates are vacuum expectations of the product of gluon field strength tensors. Short-distance expansions of two-, three-, and four-gluon condensates are presented up to dimension-8 local operators. We propose a method…

High Energy Physics - Phenomenology · Physics 2022-10-05 Alexandr V. Pimikov

We present a 1-loop perturbative calculation of the fermion propagator, up to O(a^2) (a: lattice spacing). The fermions are described by Wilson, clover and twisted-mass actions; for gluons we use Symanzik improved actions (Plaquette,…

High Energy Physics - Lattice · Physics 2010-11-05 Martha Constantinou , Haralambos Panagopoulos , Fotos Stylianou

This contribution briefly describes some developments of the use of string symmetries and anomaly cancellation mechanisms to include string loop corrections in the construction of the low-energy effective supergravity of superstrings.…

High Energy Physics - Theory · Physics 2016-09-06 J. -P. Derendinger

We summarize recent attempts to extract characteristics of non-perturbative vacuum structure from lattice measurements of the gauge invariant field strength correlator. As an alternative to cooling, we propose to apply the renormalization…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , S. Thurner

The momentum diffusion coefficient of a heavy quark in a hot QCD plasma can be extracted as a transport coefficient related to the correlator of two colour-electric fields dressing a Polyakov loop. We determine the perturbative…

High Energy Physics - Lattice · Physics 2016-03-23 C. Christensen , M. Laine

From the analysis of the perturbative expansion of the lattice regularized gluon condensate, toghether with MC data, we present evidence of OPE-unexpected dim-2 power corrections in the scaling behaviour of the Wilson loop. These can be…

High Energy Physics - Lattice · Physics 2009-10-30 G. Burgio , F. Di Renzo , G. Marchesini , E. Onofri

One-loop quark contributions to the dimension-four gluon condensate term in the operator product expansion (OPE) of the scalar glueball correlation function are calculated in the MS-bar scheme in the chiral limit of $n_f$ quark flavours.…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Harnett , T. G. Steele

It has recently been shown how the effect of the divergent part of the gravitational self interaction for a classical string model in 4 dimensions can be allowed for by a renormalisation of its stress energy tensor and in the elastic case a…

High Energy Physics - Theory · Physics 2011-04-15 Brandon Carter

The normalization of the gluon condensate and of renormalon-related power corrections in QCD is computed under the assumption that their ``perturbative'' part dominates over any eventual extra contribution from the non-trivial vacuum. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Georges Grunberg

Spatial string tension is computed in finite temperature gluodynamics on asymmetric lattices in a spherical model approximation. Conditions of scaling behavior are specified. Discrepancies with a standard renormalisation procedure are…

High Energy Physics - Lattice · Physics 2007-05-23 V. K. Petrov

The string one loop renormalization of the gauge coupling constants is examined in abelian orbifold models. The contributions to string threshold corrections independent of the compactification moduli fields are evaluated numerically for…

High Energy Physics - Theory · Physics 2008-11-26 M. Chemtob

We compute the structure function $g_2$ for a gluon target in perturbative QCD at order $\as$. We show that its first moment vanishes, as predicted by the Burkhardt-Cottingham sum rule.

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Gabrieli , G. Ridolfi

This review is aimed to demonstrate the basics and use of formalism of gauge-invariant nonlocal correlators in nonabelian gauge theories. Many phenomenologically interesting nonperturbative aspects of gluodynamics and QCD can be described…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Di Giacomo , H. G. Dosch , V. I. Shevchenko , Yu. A. Simonov

We investigate string solutions to the classical equations of motion ("classical QCD strings") for a dual Ginzburg-Landau model corresponding to SU(3) gluodynamics in an abelian projection. For a certain relation between couplings of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. N. Chernodub

We compute two-point functions of chiral operators Tr(\Phi^k) for any k, in {\cal N}=4 supersymmetric SU(N) Yang-Mills theory. We find that up to the order g^4 the perturbative corrections to the correlators vanish for all N. The…

High Energy Physics - Theory · Physics 2009-10-31 S. Penati , A. Santambrogio , D. Zanon