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We derive fermionic Green's functions in the background of the Euclidean solitons describing false vacuum decay in a prototypal Higgs-Yukawa theory. In combination with appropriate counterterms for the masses, couplings and wave-function…

High Energy Physics - Theory · Physics 2018-10-29 Wen-Yuan Ai , Bjorn Garbrecht , Peter Millington

We introduce a Green's function method for handling radiative effects on false vacuum decay. In addition to the usual thin-wall approximation, we achieve further simplification by treating the bubble wall in the planar limit. As an…

High Energy Physics - Theory · Physics 2015-06-03 Bjorn Garbrecht , Peter Millington

A self-consistent method for calculating electron transport through a molecular device is proposed. It is based on density functional theory electronic structure calculations under periodic boundary conditions and implemented in the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 San-Huang Ke , Harold U. Baranger , Weitao Yang

Within a phonon-assisted resonance level model we develop a self-consistent procedure for calculating electron transport currents in molecular junctions with intermediate to strong electron-phonon interaction. The scheme takes into account…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Abraham Nitzan , Mark A. Ratner

We recently investigated the nature of resonant tunnelling in standard scalar Quantum Field Theory, uncovering the conditions required for resonance. It was shown that whereas the homogeneous false vacuum may decay via bubble nucleation, it…

High Energy Physics - Theory · Physics 2014-11-18 Paul M. Saffin , Antonio Padilla , Edmund J. Copeland

We study the Green's function of the $ \nu=1/2 $ Chern-Simons system in the temporal (Weyl) gauge. We derive the Chern-Simons path integral in the temporal gauge. In order to do this, we gauge transform the path integral in the Coulomb…

Strongly Correlated Electrons · Physics 2011-10-05 J. Dietel

We study false vacuum decay for a gauged complex scalar field in a polynomial potential with nearly degenerate minima. Radiative corrections to the profile of the nucleated bubble as well as the full decay rate are computed in the planar…

High Energy Physics - Theory · Physics 2020-10-07 Wen-Yuan Ai , Juan S. Cruz , Bjorn Garbrecht , Carlos Tamarit

The Coleman formula for vacuum decay and bubble nucleation has been used to estimate the tunneling rate in models of axion monodromy in recent literature. However, several of Coleman's original assumptions do not hold for such models. Here…

High Energy Physics - Theory · Physics 2016-11-03 Jon Brown , William Cottrell , Gary Shiu , Pablo Soler

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

Motivated by recent experimental refinements of stellar reaction rates, we establish a non-perturbative Green's function formalism based on the exact solution of the Dyson equation for sub-barrier proton-nucleus resonant scattering. By…

Nuclear Theory · Physics 2026-03-19 Bahruz Suleymanli , Kutsal Bozkurt

A theory of tunneling through a quantum dot is presented which enables us to study combined effects of Coulomb blockade and discrete energy spectrum of the dot. The expression of tunneling current is derived from the Keldysh Green's…

Strongly Correlated Electrons · Physics 2014-01-08 Tetsufumi Tanamoto , Masahito Ueda

The time-dependent tunnelling current arising from the electron-hole recombination of exciton state is theoretically studied using the nonequilibrium Green's function technique and the Anderson model with two energy levels. The charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 David M. -T. Kuo

Nuclear structure theory has recently gone through a major renewal with the development of ab initio techniques that can be applied to a large number of atomic nuclei, well beyond the light sector that had been traditionally targeted in the…

Nuclear Theory · Physics 2020-10-09 Vittorio Somà

We consider the Klein-Gordon equation on a star-shaped network composed of n half-axes connected at their origins. We add a potential which is constant but different on each branch. Exploiting a spectral theoretic solution formula from a…

Analysis of PDEs · Mathematics 2011-04-18 Felix Ali Mehmeti , Robert Haller-Dintelmann , Virginie Régnier

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 present a generalization of the tunneling Hamiltonian to quantum…

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

Electron transport properties in nanostructures can be modeled, for example, by using the semiclassical Wigner formalism or the quantum mechanical Green's functions formalism. We compare the performance and the results of these methods in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Paula Havu , Noora Tuomisto , Riikka Vaananen , Martti J. Puska , Risto M. Nieminen

We revisit the famous Coleman-de Luccia formalism for decay of false vacuum in gravitational theory. Since the corresponding wave function is time-independent we argue that its instanton's interpretation as the decay rate probability is…

General Relativity and Quantum Cosmology · Physics 2019-07-30 J. Kristiano , R. D. Lambaga , H. S. Ramadhan

A multi-level Anderson model is employed to simulate the system of a nanostructure tunnel junction with any number of one-particle energy levels. The tunneling current, including both shell-tunneling and shell-filling cases, is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 David M. -T. Kuo , Yia-Chung Chang

Macroscopic quantum tunneling is described using the master equation for the reduced Wigner function of an open quantum system at zero temperature. Our model consists of a particle trapped in a cubic potential interacting with an…

Quantum Physics · Physics 2011-08-04 Esteban Calzetta , Enric Verdaguer

The tunneling hamiltonian has proven to be a useful method in many body physics to treat particle tunneling between different states represented as wavefunctions. Our problem is here applying what we did in the first paper to a driven…

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