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We present an algorithm for computing instanton numbers of curve singularities. A comparison is made between these and some other invariants of curve singularities. The algorithm has been implemented in the symbolic computer algebra program…

Algebraic Geometry · Mathematics 2007-05-23 Elizabeth Gasparim , Irena Swanson

Gravity can arise in a conventional non-Abelian gauge theory in which a specific phenomenon takes place. Suppose there is a condensation of polarized instantons and antiinstantons in the vacuum state. Then the excitations of the gauge field…

High Energy Physics - Theory · Physics 2010-11-01 M. Yu. Kuchiev

In G2 manifolds, 3-dimensional associative submanifolds (instantons) play a role similar to J-holomorphic curves in symplectic geometry. In [21], instantons in G2 manifolds were constructed from regular J-holomorphic curves in coassociative…

Differential Geometry · Mathematics 2013-03-28 Naichung Conan Leung , Xiaowei Wang , Ke Zhu

A Coulomb gas representation of dense-matter QCD is derived from a dual transformation of the low-energy effective Lagrangian. The point-like charges Q=+1,-1 of the gas are identified with the instantons and anti-instantons of such…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. T. Son , M. A. Stephanov , A. R. Zhitnitsky

Numerical and anaytical studies of the instanton liquid model have allowed the determination of many hadronic parameters during the last 13 years. Most part of this thesis is devoted to the extension of the analytical methods. The meson…

High Energy Physics - Phenomenology · Physics 2008-02-03 Marcus Hutter

Certain quantum mechanical potentials give rise to a vanishing perturbation series for at least one energy level (which as we here assume is the ground state), but the true ground-state energy is positive. We show here that in a typical…

High Energy Physics - Phenomenology · Physics 2011-07-28 Ulrich D. Jentschura , Jean Zinn-Justin

Gluon two- and three-point Green Functions computed in Landau gauge from the lattice show the existence of power corrections to the purely perturbative expressions, that can be explained through an Operator Product Expansion as the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Ph. Boucaud , F. De Soto , A. Donini , J. P. Leroy , A. Le Yaouanc , J. Micheli , H. Moutarde , O. Pène , J. Rodríguez-Quintero

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons''. These worldline instantons are classical solutions to the Euclidean worldline loop equations…

High Energy Physics - Phenomenology · Physics 2011-07-19 Gerald V. Dunne , Christian Schubert

We consider new instantons that appear as a result of accounting for quantum fluctuations. These fluctuations naturally regularize the O(4) singular solutions abandoned in Coleman's theory. In the previous works [3,4] we showed how new…

High Energy Physics - Theory · Physics 2023-06-14 Viatcheslav Mukhanov , Alexander Sorin

We show how to do semiclassical nonperturbative computations within the worldline approach to quantum field theory using ``worldline instantons''. These worldline instantons are classical solutions to the Euclidean worldline loop equations…

High Energy Physics - Theory · Physics 2009-11-11 Gerald V. Dunne , Christian Schubert

Physical properties of single-electron devices in the week Coulomb blockade regime are significantly dependent on non-perturbative effects. They arise as instanton solutions of equations of motion for the corresponding…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 A. S. Dotdaev , Ya. I. Rodionov , K. S. Tikhonov

We use instanton numbers to: (i) stratify moduli of vector bundles, (ii) calculate relative homology of moduli spaces and (iii) distinguish curve singularities.

Mathematical Physics · Physics 2008-11-26 Elizabeth Gasparim , Pedro Ontaneda

We calculate some non-perturbative (D-instanton) quantum corrections to the moduli space metric of several (n>1) identical matter hypermultiplets for the type-IIA superstrings compactified on a Calabi-Yau threefold, near conifold…

High Energy Physics - Theory · Physics 2009-11-10 Sergei V. Ketov , Osvaldo P. Santillan , Andrei G. Zorin

In this paper, we construct Euclidean instanton and wormhole solutions in $d=4$, N=2 supergravity theories with hypermultiplets. The analytic continuation of the hypermultiplet action, involving pseudoscalar axions, is discussed using the…

High Energy Physics - Theory · Physics 2009-10-29 Marco Chiodaroli , Michael Gutperle

Lattice artefacts are used, through modified lattice actions, as a tool to find the largest instantons in a toroidal geometry [0,L]^3X[0,T] for T to infinity. It is conjectured that the largest instanton is associated with tunnelling…

High Energy Physics - Lattice · Physics 2008-11-26 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Jeroen Snippe , Pierre van Baal

We construct the half-supersymmetric instanton solutions that are electric-magnetically dual to the recently discussed half-supersymmetric Q7-branes. We call these instantons `Q-instantons'. Whereas the D-instanton is most conveniently…

High Energy Physics - Theory · Physics 2014-11-18 E. A. Bergshoeff , J. Hartong , A. Ploegh , D. Sorokin

The role of instantons in describing non-perturbative aspects of globally supersymmetric gauge theories is reviewed. The cases of theories with N=1, N=2 and N=4 supersymmetry are discussed. Special attention is devoted to the intriguing…

High Energy Physics - Theory · Physics 2008-11-26 Massimo Bianchi , Stefano Kovacs , Giancarlo Rossi

This is a mini-review about generalized instantons of noncommutative gauge theories in dimensions 4, 6 and 8, with emphasis on their realizations in type II string theory, their geometric interpretations, and their applications to the…

High Energy Physics - Theory · Physics 2023-05-24 Richard J. Szabo , Michelangelo Tirelli

We investigate quantum effects on the Coulomb branch of three-dimensional N=4 supersymmetric gauge theory with gauge group SU(2). We calculate perturbative and one-instanton contributions to the Wilsonian effective action using standard…

High Energy Physics - Theory · Physics 2009-10-30 N. Dorey , V. V. Khoze , M. P. Mattis , D. Tong , S. Vandoren

The effects of instantons close to the cut-off is studied in four dimensional SU(2) gauge theory with higher order derivative terms in the action. It is found in the framework of the dilute instanton gas approximation that the convergence…

High Energy Physics - Theory · Physics 2007-05-23 Vincenzo Branchina , Janos Polonyi