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We find classically stable solitons (instantons) in odd (even) dimensional scalar noncommutative field theories whose scalar potential, $V(\ph)$, has at least two minima. These solutions are bubbles of the false vacuum whose size is set by…

High Energy Physics - Theory · Physics 2009-10-31 Rajesh Gopakumar , Shiraz Minwalla , Andrew Strominger

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

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

Tunneling in quantum field theory is well understood in the case of a single scalar field. However, in theories with spontaneous symmetry breaking, one has to take into account the additional zero modes which appear due to the Goldstone…

High Energy Physics - Phenomenology · Physics 2009-10-28 Alexander Kusenko

In this work, we investigate $O(4)$-symmetric instantons within the Eddington-inspired-Born-Infeld gravity theory (EiBI). We discuss the regular Hawking-Moss instanton and find that the tunneling rate reduces to the General Relativity (GR)…

General Relativity and Quantum Cosmology · Physics 2017-03-27 Frederico Arroja , Che-Yu Chen , Pisin Chen , Dong-han Yeom

We consider a wave-function approach to the false vacuum decay with gravity and present a new method to calculate the tunneling amplitude under the WKB approximation. The result agrees with the one obtained by the Euclidean path-integral…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Uchida Gen , Misao Sasaki

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

Coherent state path integrals are shown in general to contain instantons with jumps at the boundaries, i.e., with boundary points lying outside classical parameter or phase space. As an example, the magnetic molecule Fe_8 is studied using a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ersin Kececioglu , Anupam Garg

We study the dynamics of multi-dimensional quantum tunneling by introducing a complex absorbing potential to a two-dimensional model for spontaneous fission. We fist diagonalize the Hamiltonian with the complex potential to determine a…

Nuclear Theory · Physics 2015-06-23 Guillaume Scamps , Kouichi Hagino

A self-consistent ansatz is presented for a four-dimensional euclidean solution (instanton) in the vacuum sector of constrained SU(2) Yang-Mills-Higgs theory.

High Energy Physics - Phenomenology · Physics 2015-06-25 F. R. Klinkhamer , J. Weller

We investigate topology-changing processes in 4-dimensional quantum gravity with a negative cosmological constant. By playing the ``gluing-polytope game" in hyperbolic geometry, we explicitly construct an instanton-like solution without…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Ding Shuxue , Yasushige Maeda , Masaru Siino

We consider a new class of instantons in context of quantum field theory of a scalar field coupled with a chaotic background source field. We show how the instanton associated to the quantum tunneling from a metastable false to the true…

High Energy Physics - Theory · Physics 2017-10-11 Andrea Addazi

The usual (type A) thin-wall Coleman-de Luccia instanton is made by a bigger-than-half sphere of the false vacuum and a smaller-than-half sphere of the true vacuum. It has a the standard O(4) symmetric negative mode associated with changing…

High Energy Physics - Theory · Physics 2013-04-17 I-Sheng Yang

We study tunneling between vacua in multi-dimensional field spaces. Working in the strict thin wall approximation, we find that the conventional instantons for false vacuum decay develop a new vanishing eigenvalue in their fluctuation…

High Energy Physics - Theory · Physics 2011-08-11 Vijay Balasubramanian , Bartlomiej Czech , Klaus Larjo , Thomas S. Levi

A formula suitable for a quantitative evaluation of the tunneling effect in a ferromagnetic particle is derived with the help of the instanton method. The tunneling between n-th degenerate states of neighboring wells is dominated by a…

Condensed Matter · Physics 2016-08-31 J. -Q. Liang , Y. -B. Zhang , H. J. W. Mueller-Kirsten , Jian-Ge Zhou , F. Zimmerschied , F. -C. Pu

We investigate Euclidean wormholes in Einstein gravity with a massless scalar field in de Sitter space. Euclidean wormholes are possible due to the analytic continuation of the time as well as complexification of fields, where we need to…

General Relativity and Quantum Cosmology · Physics 2017-07-05 Pisin Chen , Yao-Chieh Hu , Dong-han Yeom

We consider the cosmological model of a self-interacting $\phi^4 - \phi^2$ quantum scalar field and extend our previous results, [3], on resonant tunneling and consequent particle production, to the case of finite temperature. Using the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. Mersini

We investigate in detail the properties of oscillating instanton solutions discussed recently in the literature. We find that the solutions with N nodes contain exactly N homogeneous negative modes in their spectrum of linear perturbations.…

High Energy Physics - Theory · Physics 2013-05-30 Lorenzo Battarra , George Lavrelashvili , Jean-Luc Lehners

We demonstrate the existence of a broad class of non-perturbative fermionic solutions to the Euclidean supergravity equations of motion, which are half-BPS and nonsingular, possess zero action, and obey an (anti)self-duality condition.…

High Energy Physics - Theory · Physics 2016-05-04 N. Houston

I provide some simple physical arguments that, once gravitation and some subtleties are taken into account, rather broad classes of potentials result in instantons which tunnel relatively rapidly between perturbatively stable minima. In…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Keith Copsey