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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

We develop a new method for estimating the decay probability of the false vacuum via regularized instantons. Namely, we consider the case where the potential is either unbounded from below or the second minimum corresponding to the true…

High Energy Physics - Theory · Physics 2022-08-10 V. F. Mukhanov , A. S. Sorin

The emptiness formation problem is addressed for a one-dimensional quantum polytropic gas characterized by an arbitrary polytropic index $\gamma$, which defines the equation of state $P \sim \rho^\gamma$, where $P$ is the pressure and…

Statistical Mechanics · Physics 2025-04-09 Alexander G. Abanov , Dimitri M. Gangardt

We calculate instanton corrections to three dimensional gauge theories with N=4 and N=8 supersymmetry and SU(n) gauge groups. The N=4 results give new information about the moduli space of n BPS SU(2) monopoles, including the leading order…

High Energy Physics - Theory · Physics 2016-08-25 Christophe Fraser , David Tong

We investigate electron-positron pair production in pulse-shaped electric background fields using a non-Markovian quantum kinetic equation. We identify a pulse-length range for subcritical fields still in the nonperturbative regime where…

High Energy Physics - Phenomenology · Physics 2008-12-18 Florian Hebenstreit , Reinhard Alkofer , Holger Gies

We investigate how to reliably remove unwanted global phase windings in gain-based optical oscillator networks, thereby ensuring convergence to the true synchronized configuration corresponding to the XY Hamiltonian's global minimum.…

Optics · Physics 2025-05-08 Richard Zhipeng Wang , Natalia G. Berloff

We study the interplay between the <A^2> condensate and instantons in non-Abelian gauge theory. Therefore we use the formalism of Local Composite Operators, with which the vacuum expectation value of this condensate can be analytically…

High Energy Physics - Theory · Physics 2015-03-18 David Vercauteren , Henri Verschelde

Based on the study of the simple Abelian Higgs model in $1+1$ dimensions we will present a new method to identify and localize extended instantons. The idea is to measure the topological charge on regions somewhat larger than the extended…

High Energy Physics - Lattice · Physics 2007-05-23 Eduardo Mendel , Guido Nolte

We explain how nonperturbative effects can be systematically included when constructing an effective field theory. We concentrate in particular on the matching calculation, by which a low energy theory without a heavy particle degree of…

High Energy Physics - Phenomenology · Physics 2009-09-11 Howard Georgi , Samuel T. Osofsky

For noninteracting particles moving in a Gaussian random potential, there exists a disagreement in the literature on the asymptotic expression for the density of states in the tail of the band. We resolve this discrepancy. Further we…

Disordered Systems and Neural Networks · Physics 2016-02-17 Sho Yaida

In this talk, we compare two states: the stationary state in stochastic inflation and the ground state wave function of the universe. We already know that, for the potential with a static field, two pictures give the same probability…

High Energy Physics - Theory · Physics 2015-06-12 Dong-han Yeom

We derive the pair-production probability in a constant electric field in Rindler coordinates in a quasi-classical approximation. Our result is different from the pair-production probability in an inertial frame (Schwinger formula). In…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kirill Tuchin

We exhaust the brane instanton solutions---an Einstein brane inhabiting at different positions in a 5-dimensional Einstein bulk with negative curvature. We construct a brane instanton model consisting of a brane with asymmetric bulk along…

High Energy Physics - Theory · Physics 2012-02-16 Hongsheng Zhang , Zongkuan Guo , Chiyi Chen , Xin-Zhou Li

We show that for the triple well potential with non-equivalent vacua, instantons generate for the low lying energy states a singlet and a doublet of states rather than a triplet of equal energy spacing. Our energy splitting formulae are…

Quantum Physics · Physics 2009-11-10 H. A. Alhendi , E. I. Lashin

We construct exact static inhomogeneous solutions to Einstein's equations with counter flow of particle fluid and a positive cosmological constant by using the Sasaki metrics on three-dimensional spaces. The solutions, which admit an…

High Energy Physics - Theory · Physics 2022-03-23 Hideki Ishihara , Satsuki Matsuno

The ring-polymer instanton approach is applied to compute the ground-state tunnelling splitting of four isotopomers of the formic acid dimer using the accurate PES of Qu and Bowman [Phys. Chem. Chem. Phys., 2016, 18, 24835]. As well as…

Chemical Physics · Physics 2017-08-23 Jeremy O. Richardson

We investigate the phenomenon of electron-positron pair production from vacuum in the presence of a strong electric field superimposed by a weak but fast varying pulse which substantially increases the total particle yield. We employ a…

High Energy Physics - Phenomenology · Physics 2018-06-13 I. A. Aleksandrov , G. Plunien , V. M. Shabaev

Instantons, spacetime-localized quantum field tunneling events, are ubiquitous in correlated condensed matter and high energy systems. However, their direct observation through collisions with conventional particles has not been considered…

Superconductivity · Physics 2021-03-31 Amir Burshtein , Roman Kuzmin , Vladimir E. Manucharyan , Moshe Goldstein

This paper presents the derivation of Schwinger's gauge invariant result of $Im \cal{L}_{eff}$ upto one loop approximation, for particle production in an uniform electric field through the method of complex trajectory WKB approximation…

General Relativity and Quantum Cosmology · Physics 2016-12-21 S. Biswas , A. Shaw , B. Modak

We calculate the rate of thermal Schwinger pair production at arbitrary coupling in weak external fields. Our calculations are valid independently of many properties of the charged particles produced, in particular their spin and whether…

High Energy Physics - Theory · Physics 2017-10-11 Oliver Gould , Arttu Rajantie