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For noninteracting particles moving in a Gaussian random potential, there exists a disagreement in the literature on the asymptotic expression for the density of states in the tail of the band. We resolve this discrepancy. Further we…

Disordered Systems and Neural Networks · Physics 2016-02-17 Sho Yaida

We develop an instanton approach to the non-equilibrium dynamics in one-dimensional random environments. The long time behavior is controlled by rare fluctuations of the disorder potential and, accordingly, by the tail of the distribution…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. V. Lopatin , V. M. Vinokur

Quenched disorder in semiconductors induces localized electronic states at the band edge, which manifest as an exponential tail in the density of states. For large impurity densities, this tail takes a universal Lifshitz form that is…

Statistical Mechanics · Physics 2024-03-20 Enrique Rozas Garcia , Johannes Hofmann

Instantons and renormalons play important roles at the interface between perturbative and non-perturbative quantum field theory. They are both associated with branch points in the Borel transform of asymptotic series, and as such can be…

High Energy Physics - Theory · Physics 2026-04-29 Arindam Bhattacharya , Jordan Cotler , Aurélien Dersy , Matthew D. Schwartz

Instantons play a crucial role in understanding non-perturbative dynamics in quantum field theories, including those with spontaneously broken gauge symmetries. In the broken phase, finite-size instanton-like configurations are no longer…

High Energy Physics - Theory · Physics 2026-04-06 Takafumi Aoki , Masahiro Ibe , Satoshi Shirai

We discuss Dirichlet instanton effects on type-IIB string Thermodynamics. We review some general properties of dilute D-instanton gases and use the low-energy supergravity solutions to define the normalization of the instanton measure, as…

High Energy Physics - Theory · Physics 2009-10-30 J. L. F. Barbon , M. A. Vazquez-Mozo

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

Instantons, localised saddle points of the action, play an important role in describing non-perturbative aspects of quantum field theories, for example vacuum decay or violation of conservation laws associated with anomalous symmetries.…

High Energy Physics - Theory · Physics 2026-03-27 Benjamin Elder , Kinga Gawrych , Arttu Rajantie

We investigate the high-frequency behavior of the density of vibrational states in three-dimensional elasticity theory with spatially fluctuating elastic moduli. At frequencies well above the mobility edge, instanton solutions yield an…

Disordered Systems and Neural Networks · Physics 2015-06-16 Constantin Tomaras , Walter Schirmacher

{(Anti-)instanton behaviour in Euclidean non-abelian field of the point-like source is studied by analyzing the possible (anti-)instanton deformations as resulted from the variations of its characteristic parameters. The variational…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. V. Molodtsov , G. M. Zinovjev

We study N=2 supersymmetric Abelian gauge model with the Fayet-Iliopoulos term and an arbitrary number of chiral matter multiplets in two dimensions. By analyzing the instanton contribution we compute the non-perturbative corrections to the…

High Energy Physics - Theory · Physics 2009-10-30 A. A. Penin

By reduction along the time direction, black holes in 4 dimensions yield instantons in 3 dimensions. Each of these instantons contributes individually at order $\exp(-|Q|/g_s)$ to certain protected couplings in the three-dimensional…

High Energy Physics - Theory · Physics 2009-07-22 Boris Pioline , Stefan Vandoren

BPS instantons are discussed in Lifshitz-type anisotropic field theories. We consider generalizations of the sigma model/Yang-Mills instantons in renormalizable higher dimensional models with the classical Lifshitz scaling invariance. In…

High Energy Physics - Theory · Physics 2015-10-12 Toshiaki Fujimori , Muneto Nitta

Within the framework of the instanton approach we present analytical results for the following model problems: (i) particle penetration through a parabolic potential barrier, where the instanton solution practically coincides with the exact…

Statistical Mechanics · Physics 2009-11-07 V. A. Benderskii , E. V. Vetoshkin , ; E. I. Kats

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

We study disordered Peierls systems described by the Fluctuating Gap Model. We show that the typical electron states with energies lying deep inside the pseudogap are localized near large disorder fluctuations (instantons), which have the…

Condensed Matter · Physics 2009-10-30 Maxim Mostovoy , Jasper Knoester

In this article we consider a path integral formulation of the Hubbard model based on a SU(2)-symmetrical Hubbard-Stratonovich transformation that couples auxiliary field to the local electronic density. This decoupling is known to have a…

Strongly Correlated Electrons · Physics 2023-11-21 Maksim Ulybyshev , Christopher Winterowd , Fakher Assaad , Savvas Zafeiropoulos

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla

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

We investigate instantons near a tachyonic top in an anti de Sitter (AdS) background. If the mass scale around the hill-top is above the Breitenlohner-Freedman (BF) bound, then the top is classically stable. When the BF bound is satisfied,…

High Energy Physics - Theory · Physics 2015-07-30 Bum-Hoon Lee , Wonwoo Lee , Daeho Ro , Dong-han Yeom
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