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We analyze the interplay of topological objects in four dimensional QCD. The distributions of color magnetic monopoles obtained in the maximum abelian gauge are computed around instantons in both pure and full QCD. We find an enhanced…

High Energy Physics - Lattice · Physics 2007-05-23 S. Thurner , M. Feurstein , H. Markum

We study the genuine non-perturbative corrections to the Landau gauge ghost-gluon vertex in terms of the non-vanishing dimension-two gluon condensate, and prove these corrections to give account of current SU(2) lattice data for the vertex…

High Energy Physics - Phenomenology · Physics 2011-12-21 J. Rodríguez-Quintero

The confinement mechanism in the nonperturbative QCD is studied in terms of topological excitation as QCD-monopoles and instantons. In the 't Hooft abelian gauge, QCD is reduced into an abelian gauge theory with monopoles, and the QCD…

High Energy Physics - Lattice · Physics 2009-10-30 Hideo Suganuma , Masahiro Fukushima , Hiroko Ichie , Atsunori Tanaka

We analyze the relation between instantons and abelian projected monopoles in both phases of pure QCD by calculating local correlation functions between topological charge densities and monopole densities. On an $8^{3} \times 4$ lattice, it…

High Energy Physics - Lattice · Physics 2009-10-28 H. Markum , W. Sakuler , S. Thurner

We look for instanton solutions in a class of two scalar field gravity models, which includes the low energy string action in four dimensions. In models where the matter field has a potential with a false vacuum, we find that non-singular…

High Energy Physics - Theory · Physics 2009-10-31 P. M. Saffin , Anupam Mazumdar , E. J. Copeland

A number of observables are constructed which can give useful information on instanton ensembles.The basic properties used are : (1) Instantons are SU(2) configurations ,(2)They are self-dual or antiself-dual.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Di Giacomo

We generate a random instanton vacuum with various densities and size distributions. We perform numerically the maximally abelian gauge fixing of these configurations in order to find monopole trajectories induced by instantons. We find…

High Energy Physics - Lattice · Physics 2019-08-15 Masahiro Fukushima , Shoichi Sasaki , Hideo Suganuma , Atsunori Tanaka , Hiroshi Toki , Dmitri Diakonov

We explain a construction of $G_2$-instantons on manifolds obtained by resolving $G_2$-orbifolds. This includes the case of $G_2$-instantons on resolutions of $T^7/\Gamma$ as a special case. The ingredients needed are a $G_2$-instanton on…

Differential Geometry · Mathematics 2025-11-25 Daniel Platt

The large density of gluons, which is present shortly after a nuclear collision at very high energies, can lead to the formation of a condensate. We identify a gauge-invariant order parameter for condensation based on elementary…

High Energy Physics - Phenomenology · Physics 2020-08-19 Jürgen Berges , Kirill Boguslavski , Mark Mace , Jan M. Pawlowski

We have reinvestigated the collision of gluonic bubbles in a SU(2) model of QCD which was studied by Johnson, Choi and Kisslinger in the context of the instanton-inspired model of QCD phase transition bubbles with plane wave approximation.…

High Energy Physics - Phenomenology · Physics 2014-11-18 Chueng-Ryong Ji , Gungwon Kang , Jungjai Lee

We introduce a method to construct $G_2$-instantons over compact $G_2$-manifolds arising as the twisted connected sum of a matching pair of building blocks [Kov03,KL11,CHNP12]. Our construction is based on gluing $G_2$-instantons obtained…

Differential Geometry · Mathematics 2018-10-02 Henrique Sá Earp , Thomas Walpuski

We review recent results from lattice on topological aspects of QCD: most of the results refer to monopoles and to instantons. We discuss in detail the evidence for condensation of monopoles in the vacuum and confinement of colour by dual…

High Energy Physics - Lattice · Physics 2009-10-28 A. Di Giacomo

In the two-dimensional CP(N-1) model one can parametrize exact many-instanton solutions via N `constituents' (called `zindons'). This parameterization allows, in principle, a complete `melting' of individual instantons. The model is…

High Energy Physics - Lattice · Physics 2017-08-23 M. Maul , D. Diakonov

The gluon fields screening in the stochastic vacuum of gluodynamics is studied. The effective action is derived for the instanton interacting with nonperturbative fields. Quantum nonperturbative effects are shown to affect greatly the shape…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. O. Agasian

We study the instanton contributions of N=2 supersymmetric gauge theory and propose that the instanton moduli space is mapped to the moduli space of punctured spheres. Due to the recursive structure of the boundary in the…

High Energy Physics - Theory · Physics 2016-09-06 Gaetano Bertoldi , Stefano Bolognesi , Marco Matone , Luca Mazzucato , Yu Nakayama

We study U(1) and U(2) noncommutative instantons on R^2_{NC} x R^2_C based on the ADHM construction. It is shown that a mild singularity in the instanton solutions for both self-dual and anti-self-dual gauge fields always disappears in…

High Energy Physics - Theory · Physics 2009-11-07 Keun-Young Kim , Bum-Hoon Lee , Hyun Seok Yang

Field strength formulated Yang-Mills theory is confronted with the traditional formulation in terms of gauge fields. It is shown that both formulations yield the same semiclassics, in particular the same instanton physics. However, at the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Langfeld , H. Reinhardt

We investigate the distribution of instanton sizes in the framework of a simplified model for ensembles of instantons. This model takes into account the non-diluteness of instantons. The infrared problem for the integration over instanton…

High Energy Physics - Lattice · Physics 2010-12-23 Gernot Münster , Christel Kamp

The QCD gauge field is modeled as an ensemble of statistically independent selfdual and antiselfdual regions. This model is motivated from instanton physics. The scale anomaly then allows to relate the topological susceptibility to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Marcus Hutter

We present a new perspective on the nature of quark and gluon condensates in quantum chromodynamics. We suggest that the spatial support of QCD condensates is restricted to the interiors of hadrons, since these condensates arise due to the…

High Energy Physics - Theory · Physics 2014-11-03 Stanley J. Brodsky , Robert Shrock
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