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We describe the modern formalism, ideas and applications of the instanton calculus for gauge theories with, and without, supersymmetry. Particular emphasis is put on developing a formalism that can deal with any number of instantons. This…

High Energy Physics - Theory · Physics 2014-11-18 Nick Dorey , Timothy J. Hollowood , Valentin V. Khoze , Michael P. Mattis

We show how to construct the general action coupling (multi)instantons to gauge theories arising from branes probing arbitrary toric singularities. We give a general set of rules for how to construct such an action given the knowledge of…

High Energy Physics - Theory · Physics 2009-12-10 Riccardo Argurio , Gabriele Ferretti , Christoffer Petersson

We discuss the effects of instantons in partially broken gauge groups on the low-energy effective gauge theory. Such effects arise when some of the instantons of the original gauge group G are no longer contained in (or can not be gauge…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Hitoshi Murayama

Gauge fields are ubiquitous in nature. In the context of quantum electrodynamics, you may be most familiar with the photon, which represents the gauge field mediating electromagnetic forces. But there are also gluons, which mediate strong…

Quantum Gases · Physics 2019-01-15 Victor Galitski , Gediminas Juzeliūnas , I. B. Spielman

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

We consider the Hamiltonian constraint formulation of classical field theories, which treats spacetime and the space of fields symmetrically, and utilizes the concept of momentum multivector. The gauge field is introduced to compensate for…

Mathematical Physics · Physics 2018-05-04 Vaclav Zatloukal

Some models allowing explicit calculation of periodic instantons and evaluation of their action are studied with regard to transitions from classical to quantum behaviour as the temperature is lowered and tunneling sets in. It is shown that…

Condensed Matter · Physics 2009-10-31 J. -Q. Liang , H. J. W. Mueller-Kirsten , D. K. Park , F. Zimmerschied

We present an introduction to the use of noncommutative geometry for gauge theories with emphasis on a construction of instantons for a class of four dimensional toric noncommutative manifolds. These instantons are solutions of self-duality…

High Energy Physics - Theory · Physics 2007-05-23 Giovanni Landi , Walter van Suijlekom

The instanton configuration in the SU(2)-gauge system with a Higgs doublet is constructed by using the new valley method. This method defines the configuration by an extension of the field equation and allows the exact conversion of the…

High Energy Physics - Theory · Physics 2015-06-26 Hideaki Aoyama , Toshiyuki Harano , Masatoshi Sato , Shinya Wada

Instanton contributions in 2d string theory are known to include subtle numerical factors $\zeta_n$ closely related to a contour prescription in multi-instanton string amplitudes. Both ingredients appear to be ambiguous due to a degeneracy…

High Energy Physics - Theory · Physics 2026-01-22 Sergei Alexandrov , Rishabh Kaushik

We investigate the role of gauge and gravitational instantons in the context of the Swampland program. Our focus is on the global symmetry breaking they induce, especially in the presence of fermions. We first recall and make more precise…

High Energy Physics - Theory · Physics 2019-10-02 Arthur Hebecker , Philipp Henkenjohann

By superposition of regular gauge instantons or merons, ensembles of gauge fields are constructed which describe the confining phase of SU(2) Yang-Mills theory. Various properties of the Wilson loops, the gluon condensate and the…

High Energy Physics - Phenomenology · Physics 2010-02-16 F. Lenz

We study the Weak Gravity Conjecture in the presence of scalar fields. The Weak Gravity Conjecture is a consistency condition for a theory of quantum gravity asserting that for a U(1) gauge field, there is a particle charged under this…

High Energy Physics - Theory · Physics 2023-02-23 Clemens Vittmann

The proton form factors are reduced to vacuum correlators of 4 quark fields by assuming independent constituent quarks. The axial singlet quark and gluonic form factors are calculated in the instanton liquid model. A discussion of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcus Hutter

Motivated by possible implications on the problem of moduli stabilization and other phenomenological aspects, we study D-brane instanton effects in flux compactifications. We focus on a local model and compute non-perturbative interactions…

High Energy Physics - Theory · Physics 2008-12-23 M. Billo' , L. Ferro , M. Frau , F. Fucito , A. Lerda , J. F. Morales

We analyze the instanton transitions in the framework of the gauge invariant variational calculation in the pure Yang-Mills theory. Instantons are identified with the saddle points in the integration over the gauge group which projects the…

High Energy Physics - Phenomenology · Physics 2016-08-25 William E. Brown , Juan P. Garrahan , Ian I. Kogan , Alex Kovner

The contribution of the anomalous quark-gluon interaction induced by instantons to the polarized and unpolarized gluon distributions in nucleon is estimated. It is shown that this interaction leads to negative gluon polarization in nucleon.

High Energy Physics - Phenomenology · Physics 2007-05-23 N. I. Kochelev

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

Electromagnetism, the strong and the weak interaction are commonly formulated as gauge theories in a Lagrangian description. In this paper we present an alternative formal derivation of U(1)-gauge theory in a manifestly covariant Hamilton…

High Energy Physics - Theory · Physics 2016-06-03 Adrian Koenigstein , Johannes Kirsch , Horst Stoecker , Juergen Struckmeier , David Vasak , Matthias Hanauske

Non-perturbative features of the derivative expansion of the effective action of a single D3-brane are obtained by considering scattering amplitudes of open and closed strings. This motivates expressions for the coupling constant dependence…

High Energy Physics - Theory · Physics 2014-11-18 Michael B. Green , Michael Gutperle
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