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The instantonic approach for a $\phi^4$ model potential is reexamined in the asymptotic limit. The path integral of the system is derived in semiclassical approximation expanding the action around the classical background. It is shown that…

Quantum Physics · Physics 2010-01-18 Marco Zoli

Following recent literature on dS instability in presence of interactions, we study the decay of massive particles in general FRW models and the emission from naked singularities either associated with 4D charged black holes or with 2D…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Roberto Di Criscienzo , Luciano Vanzo , Sergio Zerbini

We investigate the properties of vacuum decay taking into account a non-minimal coupling to gravity. We extend the standard thin-wall solution to include the non-minimal coupling and verify its validity by comparison with a full numerical…

High Energy Physics - Phenomenology · Physics 2017-01-23 Olga Czerwińska , Zygmunt Lalak , Marek Lewicki , Paweł Olszewski

We revisit the path-integral approach to the wave function of the Universe by utilizing Lefschetz thimble analyses and resurgence theory. The traditional Euclidean path-integral of gravity has the notorious ambiguity of the direction of…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Masazumi Honda , Hiroki Matsui , Kazumasa Okabayashi , Takahiro Terada

Using a new approach to the analysis of false vacuum decay based on the so-called tunneling potential, we develop a general method to find scalar potentials with a false vacuum with exactly solvable decay at the semi-classical level,…

High Energy Physics - Theory · Physics 2021-09-15 J. R. Espinosa , J. -F. Fortin , J. Huertas

Quantum tunneling through an almost classical potential barrier can be strongly enhanced by a nonstationary field so that the penetration through the barrier becomes not exponentially small. This constitutes an extremely unusual phenomenon…

Quantum Physics · Physics 2007-05-23 B. Ivlev

The quantum mechanical tunneling through multiple quantum barriers is a long-standing and well-known problem. Three methods proposed earlier to calculate the tunneling probabilities and energy splitting: (1). Instanton Method (2) WKb…

Materials Science · Physics 2024-05-08 Jatindranath Gain

In the paper the closed Friedmann--Robertson--Walker model with quantization in the presence of the positive cosmological constant and radiation is studied. For analysis of tunneling probability for birth of an asymptotically deSitter,…

General Relativity and Quantum Cosmology · Physics 2010-05-07 Sergei P. Maydanyuk

In this article, we study the no-boundary wave function in scalar-tensor gravity with various potentials for the non-minimally coupled scalar field. Our goal is to calculate probabilities for the scalar field - and hence the effective…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Dong-il Hwang , Hanno Sahlmann , Dong-han Yeom

We consider the question of whether cosmic ray catalysed false vacuum decay can be phenomenologically more important than spontaneous decay via quantum tunnelling. We extend the zero bubble wall width Landau-WKB analysis of catalysed false…

High Energy Physics - Phenomenology · Physics 2009-10-30 Kari Enqvist , John McDonald

The path integral of 4D Einstein-Hilbert gravity for the de Sitter-like Universe with fluctuations is investigated, and the transition amplitude from one boundary configuration to another is computed. The gravitational system is described…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Manishankar Ailiga , Shubhashis Mallik , Gaurav Narain

Tunneling half lives are obtained in a minimalistic deformation picture of nuclear decays. As widely documented in other deformation models, one finds that the effective mass of the nucleus changes with the deformation parameter. However,…

Nuclear Theory · Physics 2024-08-28 Samyak Jain , A. Bhagwat

The Wheeler-DeWitt (WDW) equation is analyzed using two boundary proposals: the Hartle-Hawking no-boundary condition and tunneling condition. By compactifying the scale factor $a$ into $ x = a/(1+a) $, we reformulate the WDW equation to…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Jie Jiang , Deog Ki Hong , Dong-han Yeom

We revisit the path integral description of quantum tunneling and lay the groundwork for its generalization to excites states through real-time path integral techniques. For clarity, we focus on the simple toy model of a point particle in a…

High Energy Physics - Theory · Physics 2025-07-30 Thomas Steingasser , David I. Kaiser

We calculate the velocity and thickness of a bubble wall at the electroweak phase transition in the Minimal Standard Model. We model the wall with semiclassical equations of motion and show that friction arises from the deviation of massive…

High Energy Physics - Phenomenology · Physics 2016-09-01 Guy D. Moore , Tomislav Prokopec

We construct an explicit model of gravity trapping domain wall potential where for the first time we can study explicitly the graviton wave function fluctuations for any thickness of the domain wall. A concrete form of the potential depends…

High Energy Physics - Theory · Physics 2008-11-26 Mirjam Cvetic , Marko Robnik

The tunneling Hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wavefunctions. Here we apply a generalization of the way we formed appropriate wave…

Mathematical Physics · Physics 2007-05-23 A. W. Beckwith

We study Hawking-like radiation in a Friedmann-Robertson-Walker (FRW) universe using the quasi-classical WKB/tunneling method which pictures this process as a "tunneling" of particles from behind the apparent horizon. The correct…

High Energy Physics - Theory · Physics 2014-11-18 Tao Zhu , Ji-Rong Ren , Douglas Singleton

The Euclidean path integral is well approximated by instantons. If instantons are dynamical, then instantons are necessarily complexified. These fuzzy instantons can have various physical applications. In slow-roll inflation models, fuzzy…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Dong-han Yeom

We study Coleman-de Luccia tunneling in some detail. We show that, for a single scalar field potential with a true and a false vacuum, there are four types of tunneling, depending on the properties of the potential. A general tunneling…

High Energy Physics - Theory · Physics 2010-03-17 S. -H. Henry Tye , Daniel Wohns , Yang Zhang
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