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We explore the relation between the quantum and semiclassical instanton approximations for the reaction rate constant. From the quantum instanton expression, we analyze the contributions to the rate constant in terms of minimum-action paths…

Chemical Physics · Physics 2019-10-16 Christophe L. Vaillant , Manish J. Thapa , Jiří Vaníček , Jeremy O. Richardson

We extend the worldline instanton technique to compute the vacuum pair production rate for spatially inhomogeneous electric background fields, with the spatial inhomogeneity being genuinely two or three dimensional, both for the magnitude…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Qing-hai Wang

We introduce a novel class of bosonic dark matter candidates that we dub wallions, featuring boundaries in field space. The wallion mass is exponentially suppressed when the separation between boundaries far exceeds their intrinsic width…

High Energy Physics - Phenomenology · Physics 2026-05-27 Mathias Becker , Francesco D'Eramo , Ville Vaskonen

Gravitational instantons of Bianchi type IX space are constructed in Ashtekar's canonical formalism. Instead of solving the self-duality condition, we fully solve the constraint on the ``initial surface'' and ``Hamiltonian equations''. This…

General Relativity and Quantum Cosmology · Physics 2015-06-25 H. Ishihara , H. Kubotani , T. Fukuyama

Supersymmetric instanton solutions in four dimensional Euclidean ungauged Einstein-Maxwell theory are analysed and classified according to the fraction of supersymmetry they preserve, using spinorial geometry techniques.

High Energy Physics - Theory · Physics 2014-11-21 J. B. Gutowski , W. A. Sabra

The known calculations of the fermion condensate $<\bar{\psi}\psi>$ and the correlator $<\bar{\psi}\psi(x) ~\bar{\psi}\psi(0)>$ have been interpreted in terms of {\em localized} instanton solutions minimizing the {\em effective} action.…

High Energy Physics - Theory · Physics 2009-09-25 A. V. Smilga

In the no-boundary univers e the universe is created from an instanton. However, there does not exist any instanton for the ``realistic'' $FRW$ universe with a scalar field. The ``instanton'' leading to its quantum creation may be modified…

High Energy Physics - Theory · Physics 2007-05-23 Z. C. Wu

We Study instanton solutions in general relativity with a scalar field. The metric ansatz we use is composed of a particular warp product of general Einstein metrics, such as those found in a number of cosmological settings, including…

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

An analysis is performed of instanton configurations in pure Euclidean Yang-Mills theory containing small Lorentz-violating perturbations that maintain gauge invariance. Conventional topological arguments are used to show that the general…

High Energy Physics - Theory · Physics 2015-06-26 Don Colladay , Pat McDonald

We find an exact classical solution in Euclidean gravity coupled to a scalar field with a particular form of potential commonly used in tachyon cosmology. This solution represents a tunneling between two vacua.

High Energy Physics - Theory · Physics 2008-11-26 Kazumi Okuyama

If instantons are introduced into the MIT bag model in such a way that bag radii are allowed to vary, the MIT bag interior can accommodate instanton density which is by an order of magnitude larger than in the case when the radii are fixed…

High Energy Physics - Phenomenology · Physics 2009-01-07 D. Klabucar , K. Kumericki , D. Mekterovic , B. Podobnik

Instanton theory has arisen as a practical tool for calculating tunneling splittings in molecular systems. Unfortunately, the original formulation of instanton theory fundamentally breaks down when trying to calculate the level splitting in…

Chemical Physics · Physics 2025-10-31 Marit R. Fiechter , Gabriel Laude , Jeremy O. Richardson

Numerical minimization of the Euclidean action of the two-dimensional Abelian Higgs model is used to construct periodic instantons, the euclidean field configurations with two turning points describing transitions between the vicinities of…

High Energy Physics - Lattice · Physics 2009-10-22 Victor V. Matveev

The axion Weak Gravity Conjecture implies that when parametrically increasing the axion decay constants, instanton corrections become increasingly important. We provide strong evidence for the validity of this conjecture by studying the…

High Energy Physics - Theory · Physics 2020-04-22 Thomas W. Grimm , Damian van de Heisteeg

We consider geodesics of infinite length and constant 4d dilaton in the (classical) hypermultiplet moduli space of type II Calabi-Yau compactifications. When approaching such infinite distance points, a large amount of D-instantons develop…

High Energy Physics - Theory · Physics 2019-09-04 Fernando Marchesano , Max Wiesner

We discuss instantons on noncommutative four-dimensional Euclidean space. In commutative case one can consider instantons directly on Euclidean space, then we should restrict ourselves to the gauge fields that are gauge equivalent to the…

High Energy Physics - Theory · Physics 2011-07-19 Albert Schwarz

Two-parameter sets of solutions to the classical field equations in the massless $\phi^4$ model and SU(2) gauge theory are found, each solution presumably describing a multi-particle instanton-like transition at high energy. In the limit of…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. T. Son , P. G. Tinyakov

We show that $QCD_2$ with adjoint fermions involves instantons due to nontrivial $\pi_1[SU(N)/Z_N]~=~Z_N$. At high temperatures, quasiclassical approximation works and the action and the form of effective (with account of quantum…

High Energy Physics - Theory · Physics 2009-09-25 A. V. Smilga

We discuss various aspects of multi-instanton configurations in generic multi-cut matrix models. Explicit formulae are presented in the two-cut case and, in particular, we obtain general formulae for multi-instanton amplitudes in the…

High Energy Physics - Theory · Physics 2011-11-17 Marcos Marino , Ricardo Schiappa , Marlene Weiss

Vacuum decay in de Sitter space is a process of great physical interest, as it allows to rule out cosmological models in the early and current Universe. Its rate may be described in terms of an instanton in Euclidean space called bounce and…

General Relativity and Quantum Cosmology · Physics 2022-05-24 Silvia Vicentini