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We use a recently constructed linearized soliton sector perturbation theory to calculate the form factors relevant to the elastic scattering of ultrarelativistic mesons off of nonrelativistic kinks. Both localized kink wave packets and also…

High Energy Physics - Theory · Physics 2022-07-13 Jarah Evslin

We calculate the one-loop correction to the distribution of energy-momentum tensor around a kink in $1+1$ dimensional $\phi^4$ model. We employ the collective coordinate method to eliminate the zero mode that gives rise to infrared…

High Energy Physics - Theory · Physics 2023-08-11 Hiroaki Ito , Masakiyo Kitazawa

The two-loop correction to the mass of the $\phi^4$ kink is $0.0126\lambda/m$ in terms of the coupling $\lambda$ and the meson mass $m$ evaluated at the minimum of the potential. This is calculated using a recently proposed alternative to…

High Energy Physics - Theory · Physics 2021-10-27 Jarah Evslin

We investigate the dynamics of the kinks that emerge in a one-dimensional scalar field theory with an octic potential containing a quartic minimum and two quadratic minima. We show analytically that kink-antikink and kink-kink pairs…

High Energy Physics - Theory · Physics 2022-04-07 Peru d'Ornellas

It is well known that string theory generates the idea of higher dimensional spacetime instead of the (3+1) dimensions, in which we seem to live. It indicates that the extra space dimensions may remain curled up into very small space. In…

Quantum Physics · Physics 2014-11-25 Ram Narayan Deb

Many kink solutions enjoy internal excitations, called shape modes. In some 1+1d scalar models, such as the $\phi^4$ double-well model, when a kink's shape mode is excited twice it may decay to a ground state kink plus a meson. We…

High Energy Physics - Theory · Physics 2023-01-04 Jarah Evslin , Alberto García Martín-Caro

The concept of studying the internal structure of mesons is explored. Mesons, which are in principle two body quark antiquark interactions, may be much easier to understand than the nucleon. Measurements of the inelastic form factors to…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. M. LoSecco

We simulate, using nonperturbative methods, the real-time dynamics of small bubbles of "false vacuum" in a quantum spin chain near criticality, where the low-energy physics is described by a relativistic (1+1)-dimensional quantum field…

Quantum Physics · Physics 2024-09-19 Ashley Milsted , Junyu Liu , John Preskill , Guifre Vidal

In this paper we analyze the scattering process in a two-field model in $(1+1)$-dimensions, with the special property to have several topological solutions: i) one with higher rest mass, characterized by a nested defect (lump inside a…

High Energy Physics - Theory · Physics 2023-08-31 Fabiano C. Simas , K. Z. Nobrega , D. Bazeia , Adalto R. Gomes

We compute the four-momentum radiated during the scattering of two spinless bodies, at leading order in the Newton's contant $G$ and at all orders in the velocities, using the Effective Field Theory worldline approach. Following…

High Energy Physics - Theory · Physics 2022-07-29 Massimiliano Maria Riva , Filippo Vernizzi

Some recent investigations of the thermal equilibrium properties of kinks in a $1+1$-dimensional, classical $\Phi^4$ field theory are reviewed. The distribution function, kink density, correlation function, and certain thermodynamic…

Condensed Matter · Physics 2007-05-23 Salman Habib

We present an updated version of a general-purpose collective coordinate model that aims to fully map out the dynamics of a single scalar field in (1+1)-dimensions. This is achieved by a procedure that we call a `mechanization': we reduce…

High Energy Physics - Theory · Physics 2023-05-18 Filip Blaschke , Ondřej Nicolas Karpíšek , Lukáš Rafaj

A distribution of electromagnetic fields presents a statistical assembly of a particular type, which is at scale h a quantum statistical assembly itself and has also been instrumental to concretisation of the basic probability assumption of…

General Physics · Physics 2012-02-28 J. X. Zheng-Johansson

In this paper the scattering between the non-topological kinks arising in a family of two-component scalar field theory models is analyzed. A winding charge is carried by these defects. As a consequence, two different classes of kink…

High Energy Physics - Theory · Physics 2023-03-03 Alberto Alonso-Izquierdo

We consider in this work a relativistic scalar field theory in a $(1+1)$-Minkowski spacetime for a class of periodic potentials. These potentials exhibit solutions known as kinks and antikinks with topological charges, energy density, and…

High Energy Physics - Theory · Physics 2022-04-21 Gilberto N. S. Filho

We investigate the nucleation, annihilation, and dynamics of kinks in a classical (1+1)-dimensional Phi^4 field theory at finite temperature. From large scale Langevin simulations, we establish that the nucleation rate is proportional to…

Statistical Mechanics · Physics 2009-10-31 Salman Habib , Grant Lythe

We study a (1+1)-dimensional field theory based on $(\psi \ln \psi)^2$ potential. There are three degenerate minima at $\psi = 0$ and $\psi=\pm1$. There are novel, asymmetric kink solutions of the form $\psi = \mp\exp (-\exp(\pm x))$…

Pattern Formation and Solitons · Physics 2019-08-15 Pradeep Kumar , Avinash Khare , Avadh Saxena

This work is divided in two parts. In the first three sections we review the meson physics phenomenology, highlighting the history of the pseudoscalar multiplet mass spectra research. Then we propose a new approach for the mass mixing…

High Energy Physics - Phenomenology · Physics 2025-11-17 R. L. P. G. Amaral , V. E. R. Lemes , O. S. Ventura , L. C. Q. Vilar

We study various properties of topological solitons (kinks) of a field-theoretic model with a polynomial potential of the twelfth degree. This model is remarkable in that it has several topological sectors, in which kinks have different…

Pattern Formation and Solitons · Physics 2025-08-20 Aliakbar Moradi Marjaneh , Vakhid A. Gani , Azam Ghaani , Kurosh Javidan , Alexander A. Malnev , Oleg V. Nagornov

In this paper kink scattering processes are investigated in the Montonen-Sarker-Trullinger-Bishop model. The MSTB model is in fact a one-parametric family of relativistic scalar field theories living in a one-time one-space Minkowski…

High Energy Physics - Theory · Physics 2019-06-25 A. Alonso-Izquierdo