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Related papers: False vacuum decay in kink scattering

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We find the novel effect on the decay of a false vacuum in view of quantum field theory, which is induced by a field coupling to the scalar field related to a first-order phase transition. This effect of the environment can never be…

High Energy Physics - Phenomenology · Physics 2010-09-13 Shigeki Matsumoto , Keiko I. Nagao , Makoto Nakamura , Masato Senami

The finite-size critical properties of the ${\cal O}(n)$ vector $\phi^4$ model, with long-range interaction decaying algebraically with the interparticle distance $r$ like $r^{-d-\sigma}$, are investigated. The system is confined to a…

Statistical Mechanics · Physics 2012-06-14 H. Chamati

Motivated by diquark exchange, we construct a class of extensions of the standard model. These models can generate large CP conserving and CP violating contributions to the doubly Cabbibo suppressed decays D^0\to K^+\pi^- without affecting…

High Energy Physics - Phenomenology · Physics 2014-11-17 Giancarlo D'Ambrosio , Dao-Neng Gao

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

In this work we study models described by a single real scalar field in two-dimensional space-time, using the deformation procedure to propose and investigate new families of models and their kink solutions.

High Energy Physics - Theory · Physics 2013-08-20 D. Bazeia , M. A. González León , L. Losano , J. Mateos Guilarte , J. R. L. Santos

Recently for the sine-Gordon equation it has been established that during collisions of $N$ slow kinks maximal energy density increases as $N^2$. In this numerical study, the same scaling rule is established for the non-integrable $\phi^4$…

Pattern Formation and Solitons · Physics 2017-11-10 Aliakbar M. Marjaneh , Danial Saadatmand , Kun Zhou , Sergey V. Dmitriev , Mohammad E. Zomorrodian

A quench in an overdamped one dimensional $\phi^4$ model is studied by analytical and numerical methods. For an infinite system or a finite system with free boundary conditions, the density of kinks after the transition is proportional to…

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga

We derive a closed-form expression for the phase shift experienced by 1+1 dimensional kinks colliding at ultra-relativistic velocities (gamma v >> 1), valid for arbitrary periodic potentials. Our closed-form expression is the leading order…

High Energy Physics - Theory · Physics 2013-12-04 Mustafa A. Amin , Eugene A. Lim , I-Sheng Yang

The color number $N_c$-dependence of the interplay between quark-antiquark condensates $<\bar{q}q>$ and diquark condensates $<qq>$ in vacuum in two-flavor four-fermion interaction models is researched. The results show that the $G_S$-$H_S$…

High Energy Physics - Theory · Physics 2009-08-25 Bang-Rong Zhou

After a quantum phase transition the quantum vacuum can break up to form classical topological defects. We examine this process for scalar field models with $Z_2$ symmetry for different quench rates for the phase transition. We find that…

High Energy Physics - Theory · Physics 2020-09-29 Mainak Mukhopadhyay , Tanmay Vachaspati , George Zahariade

Previously an equation of state for the relativistic hydrodynamics encountered in heavy-ion collisions at the LHC and RHIC has been calculated using lattice gauge theory methods. This leads to a prediction of very low viscosity, due to the…

High Energy Physics - Theory · Physics 2022-10-03 J. F. Du Plessis , W. A. Horowitz

We study numerically the kink-fermion interactions in a 1+1 dimensional toy model, which describes sine-Gordon kinks coupled to the massless Dirac fermions with backreaction. We show that the spectrum of fermionic modes strongly depends on…

High Energy Physics - Theory · Physics 2022-09-01 Vakhid A. Gani , Anastasia Gorina , Ilya Perapechka , Yakov Shnir

This manuscript is the first of a series of two papers that study the problem of elasticity and stability of the collision of two kinks with low speed $v$ for the nonlinear wave equation known as the $\phi^{6}$ model in dimension $1+1$. In…

Analysis of PDEs · Mathematics 2023-05-23 Abdon Moutinho

Graphene kinks are topological states of buckled graphene membranes. We show that when a moving kink encounters a constriction, there are three general classes of behavior: reflection, trapping, and transmission. Overall, constriction is…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 D. C. Nguyen , R. D. Yamaletdinov , Y. V. Pershin

We present a classical kinetically constrained model of interacting particles on a triangular ladder, which displays diffusion and jamming and can be treated by means of a classical-quantum mapping. Interpreted as a theory of interacting…

Statistical Mechanics · Physics 2025-05-16 Abhishek Raj , Vadim Oganesyan , Antonello Scardicchio

We consider the (1+1)-dimensional Lorentz-symmetric field-theoretic model with logarithmic potential having a Mexican-hat form with two local minima similar to that of the quartic Higgs potential in conventional electroweak theory with…

High Energy Physics - Theory · Physics 2021-11-19 Ekaterina Belendryasova , Vakhid A. Gani , Konstantin G. Zloshchastiev

We study the $1+1$ flat spacetime dynamics of a classical field configuration corresponding to an ensemble of sine-Gordon kinks and antikinks, semi-classically coupled to a quantum field. This coupling breaks the integrability of the…

High Energy Physics - Theory · Physics 2025-07-10 Mainak Mukhopadhyay , Kohta Murase , Atsushi Naruko , George Zahariade

Transmission electron microscopy experiments have recently observed gold metal nanocylinders to thin down in a discrete manner: A kink--a step of order of one atomic layer--nucleates at one end and then moves along the wire, leaving a…

Mesoscale and Nanoscale Physics · Physics 2007-06-13 J. Bürki

The behavior of the kink in the sine-Gordon (sG) model in the presence of periodic inhomogeneity is studied. An ansatz is proposed that allows for the construction of a reliable effective model with two degrees of freedom. Effective models…

Pattern Formation and Solitons · Physics 2025-02-14 Tomasz Dobrowolski , Jacek Gatlik , Panayotis G. Kevrekidis

The method of multiple scales is used to study the wobbling kink of the $\phi^4$ equation. The amplitude of the wobbling is shown to decay very slowly, as $t^{-1/2}$, and hence the wobbler turns out to be an extremely long-lived object.

Pattern Formation and Solitons · Physics 2008-12-31 O F Oxtoby , I V Barashenkov
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