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Motivated by the recent work of Chigusa, Moroi, and Shoji, we propose a new simple gradient flow equation to derive the bounce solution which contributes to the decay of the false vacuum. Our discussion utilizes the discussion of Coleman,…

High Energy Physics - Phenomenology · Physics 2025-10-14 Ryosuke Sato

Based on the gradient flow, we propose a new method to determine the bounce configuration for false vacuum decay. Our method is applicable to a large class of models with multiple fields. Since the bounce is a saddle point of an action, a…

High Energy Physics - Phenomenology · Physics 2019-12-17 So Chigusa , Takeo Moroi , Yutaro Shoji

We are launching FindBounce, a Mathematica package for the evaluation of the Euclidean bounce action that enters the decay rate of metastable states in quantum and thermal field theories. It is based on the idea of polygonal bounces, which…

High Energy Physics - Phenomenology · Physics 2020-09-04 Victor Guada , Miha Nemevšek , Matevž Pintar

We develop a new iterative method for finding approximate solutions for spherical bounces associated with the decay of the false vacuum in scalar field theories. The method works for any generic potential in any number of dimensions,…

High Energy Physics - Theory · Physics 2016-10-04 Roman V. Buniy

The bounce solutions of self-interacting scalar fields coupled to gravity are studied using a semi-classical approach. We found that bounce solutions have a maximum required barrier curvature, in addition to the known minimum required…

General Relativity and Quantum Cosmology · Physics 2018-01-29 Nicholas W. K. Wong , Jiangbin Gong , Yen-Kheng Lim , Qing-hai Wang

We compute bounce solutions describing false vacuum decay in a Phi**4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree…

High Energy Physics - Theory · Physics 2014-11-18 Jurgen Baacke , Nina Kevlishvili

We present the OptiBounce algorithm, a new and fast method for finding the bounce action for cosmological phase transitions. This is done by direct solution of the "reduced" minimisation problem proposed by Coleman, Glaser, and Martin. By…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-05 Michael Bardsley

In his 1977 paper on vacuum decay in field theory: The Fate of the False Vacuum, Coleman considered the problem of a single scalar field and assumed that the minimum action tunnelling field configuration, the bounce, is invariant under O(4)…

High Energy Physics - Theory · Physics 2017-07-11 Kfir Blum , Masazumi Honda , Ryosuke Sato , Masahiro Takimoto , Kohsaku Tobioka

The tunneling potential formalism, an alternative to the standard Coleman Euclidean approach, offers in a natural way a unified view of vacuum decays. In particular, I show in this talk how Coleman's bounce is just a member of a continuous…

High Energy Physics - Theory · Physics 2025-01-17 J. R. Espinosa

We study zero-temperature false vacuum decay in $D$ compact spatial dimensions and show that for volumes below a critical value a new bounce solution, different from Coleman's celebrated $O(D)$ bubble, mediates the decay process, and…

High Energy Physics - Theory · Physics 2026-05-13 Saquib Hassan , John March-Russell

The decay rate of a false vacuum is determined by the minimal action solution of the tunnelling field: bounce. In this Letter, we focus on models with scalar fields which have a canonical kinetic term in $N(>2)$ dimensional Euclidean space,…

High Energy Physics - Phenomenology · Physics 2018-03-06 Ryosuke Sato , Masahiro Takimoto

In the decay process of metastable vacua in quantum field theories, the bounce solution, a classical solution in Euclideanized theories, is helpful in calculating the decay rate. Recently, the bounce solution with a conical singularity has…

High Energy Physics - Theory · Physics 2024-04-23 Yutaka Ookouchi , Ryota Sato , Sohei Tsukahara

The Vacuum tunneling rate $\Gamma$ from the effective action is a key to studying the cosmological first-order phase transition(FOPT). One solid way to compute the $\Gamma$ is to start with the derivative expansion of the effective action…

High Energy Physics - Phenomenology · Physics 2025-01-28 Banghui Hua , Jiang Zhu

In the standard lore the decay of the false vacuum of a single-field potential is described by a semi-classical Euclidean bounce configuration that can be found using overshoot/undershoot algorithms, and whose action suppresses…

High Energy Physics - Theory · Physics 2025-06-09 J. R. Espinosa , T. Konstandin

We introduce a new picture of vacuum decay which, in contrast to existing semiclassical techniques, provides a real-time description and does not rely on classically-forbidden tunneling paths. Using lattice simulations, we observe vacuum…

High Energy Physics - Theory · Physics 2019-07-24 Jonathan Braden , Matthew C. Johnson , Hiranya V. Peiris , Andrew Pontzen , Silke Weinfurtner

We present a general numerical method for computing precisely the false vacuum decay rate, including the prefactor due to quantum fluctuations about the classical bounce solution, in a self-interacting scalar field theory modeling the…

High Energy Physics - Theory · Physics 2009-11-11 Gerald V. Dunne , Hyunsoo Min

We explore the possibility of avoiding cosmological singularity with a bounce solution in the early Universe. The main finding is that simple and well-known semiclassical correction, which describes the mixing of radiation and gravity in…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Wagno Cesar e Silva , Ilya L. Shapiro

We investigate the bounce solutions in vacuum decay problems. We show that it is possible to have a stable false vacuum in a potential that is unbounded from below.

High Energy Physics - Theory · Physics 2019-05-22 J. A. González , A. Bellorín , Mónica A. García-Ñustes , L. E. Guerrero , S. Jiménez , Juan F. Marín , L. Vázquez

We study the problem of false vacuum decay in arbitrary dimensions, in the presence of gravity, and compute the transition probability within the thin-wall approximation, generalising the results of Coleman and de Luccia. In the particular…

High Energy Physics - Theory · Physics 2025-12-16 Ignatios Antoniadis , Daniele Bielli , Auttakit Chatrabhuti , Hiroshi Isono

We present a unified C++ implementation of the functional renormalization group and the parquet equations within the single-boson exchange formalism for several paradigmatic tight-binding and impurity models at equilibrium. The…

Strongly Correlated Electrons · Physics 2026-04-07 Aiman Al-Eryani , Miriam Patricolo , Kilian Fraboulet
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