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In Vilenkin's tunneling wavefunction proposal our expanding universe is born via a tunneling through a barrier from nothing at the zero scale factor. We explore the viability of this proposal for the spatially closed FLRW model with a…

General Relativity and Quantum Cosmology · Physics 2023-04-17 Meysam Motaharfar , Parampreet Singh

Quantum tunnelling, a hallmark phenomenon of quantum mechanics, allows particles to pass through the classically forbidden region. It underpins fundamental processes ranging from nuclear fusion and photosynthesis to the operation of…

Quantum Physics · Physics 2025-12-23 Xiao-Wen Shang , Jian-Peng Dou , Feng Lu , Sen Lin , Hao Tang , Xian-Min Jin

Given a scalar field with metastable minima, bubbles nucleate quantum mechanically. When bubbles collide, energy stored in the bubble walls is converted into kinetic energy of the field. This kinetic energy can facilitate the classical…

High Energy Physics - Theory · Physics 2009-12-31 Richard Easther , John T. Giblin , Lam Hui , Eugene A. Lim

Process of dynamical tunneling in two-dimensional coupled potentials is considered within Bohmian approach to quantum mechanics. Quantum trajectories tend to go along the paths where potential energy increases and then decreases. It leads…

Chemical Physics · Physics 2007-05-23 Dmytro Babyuk

An analogy between Wigner resonant tunneling and tunneling across a static potential barrier in a static magnetic field is found. Whereas in the process of Wigner tunneling an electron encounters a classically allowed regions, where a…

Quantum Physics · Physics 2009-11-13 B. Ivlev

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

In the absence of gravity, one can prove that tunnelling instantons exhibit exactly one negative mode in their spectrum of fluctuations. It is precisely the existence of this tunnelling negative mode that warrants an interpretation of these…

High Energy Physics - Theory · Physics 2015-07-15 Michael Koehn , George Lavrelashvili , Jean-Luc Lehners

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 study the quantum-mechanical tunneling phenomenon in models which include the existence of non-equivalent vacua. For such a purpose we evaluate the euclidean propagator between two minima of the potential at issue in terms of the…

Quantum Physics · Physics 2007-05-23 J. Casahorran

It is shown that nonvacuum pseudoparticles can account for quantum tunneling and metastability. In particular the saddle-point nature of the pseudoparticles is demonstrated, and the evaluation of path-integrals in their neighbourhood.…

High Energy Physics - Theory · Physics 2007-05-23 J. -Q. Liang , H. J. W. Mueller-Kirsten

The relative probability to decay towards different vacua during inflation is studied. The calculation is performed in single-field slow-roll potentials using the stochastic inflation formalism. Various situations are investigated,…

High Energy Physics - Theory · Physics 2018-10-11 Mahdiyar Noorbala , Vincent Vennin , Hooshyar Assadullahi , Hassan Firouzjahi , David Wands

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

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

The quantum field theory for a massless scalar field on a two-dimensional non-singular black hole spacetime gives a non-vanishing probability for a particle to tunnel out of the black hole. The black hole spacetime contains an outer and an…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Edward Wilson-Ewing

We present a fast and efficient method for studying vacuum stability constraints in multi-scalar theories beyond the Standard Model. This method is designed for a reliable use in large scale parameter scans. The minimization of the scalar…

High Energy Physics - Phenomenology · Physics 2019-05-01 Wolfgang G. Hollik , Georg Weiglein , Jonas Wittbrodt

Dissipative quantum tunnelling through an inverted parabolic barrier is considered in the presence of an electric field. A Schr\"odinger-Langevin or Kostin quantum classical transition wave equation is used and applied resulting in a scaled…

Quantum Physics · Physics 2018-10-03 S. V. Mousavi , S. Miret-Artés

Sometimes a local minimum is known to be a metastable vacuum inside the low-energy EFT, but the true vacuum lies outside, and the bounce solution mediating the decay cannot be found. For single-field decay, Espinosa has proposed a family of…

High Energy Physics - Theory · Physics 2025-06-12 Mehrdad Mirbabayi , Giovanni Villadoro

The most unstable quantum states and elementary particles possess more than a single decay channel. At the same time, it is well known that typically the decay law is not simply exponential. Therefore, it is natural to ask how to spot the…

Quantum Physics · Physics 2020-08-19 Francesco Giacosa , Przemysław Kościk , Tomasz Sowiński

The tunneling decay rate per unit volume in Quantum Field Theory (QFT), at order $\hbar$, is given by $\Gamma/V = Ae^{-B}$, where $B$ is the Euclidean action evaluated at the so-called bounce, and $A$ is proportional to the determinant of a…

High Energy Physics - Theory · Physics 2025-12-16 G. Flores-Hidalgo

Quantum tunneling introduces a fundamental difference between classical and quantum mechanics. Whenever the classical ground state is non-unique (degenerate), quantum mechanics restore uniqueness thanks to tunneling. A condensate in a…

Quantum Physics · Physics 2012-09-10 Qiang Du , Martine Le Berre , Yves Pomeau
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