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In this paper, we study the $\phi^4$ kink scattering from a spatially localized $\mathcal{PT}$-symmetric defect and the effect of the kink's internal mode (IM) is discussed. It is demonstrated that if a kink hits the defect from the gain…

We study a scalar field model in a two dimensional space-time with a generalized $\phi^4_G$ potential which has four minima, obtaining novel kink solutions with well defined properties although the potential is non-analytical at the origin.…

High Energy Physics - Theory · Physics 2021-01-18 Jonathan Lozano-Mayo , Manuel Torres-Labansat

We establish the precise relation between the integral kernel of the scattering matrix and the resonance in the massless Spin-Boson model which describes the interaction of a two-level quantum system with a second-quantized scalar field.…

Mathematical Physics · Physics 2019-10-21 Miguel Ballesteros , Dirk-André Deckert , Felix Hänle

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential…

High Energy Physics - Theory · Physics 2008-05-02 Nguyen Suan Han , Nguyen Nhu Xuan

Analytical approximations for $< \phi^2 >$ of a quantized scalar field in ultrastatic asymptotically flat spacetimes are obtained. The field is assumed to be both massive and massless, with an arbitrary coupling $\xi$ to the scalar…

High Energy Physics - Theory · Physics 2009-11-10 Arkady A. Popov

Theory of massless scalar field $\phi$ with interaction $g \phi^3$ in six-dimensional space is considered. A possibility of initial scale invariance breaking, which results in a spontaneous arising of effective interaction $G \phi^4$, is…

High Energy Physics - Theory · Physics 2007-05-23 Boris A. Arbuzov

One-dimensional scattering by a target with two internal degrees of freedom is investigated. The damping of resonance peaks and the associated appearance of the fluctuating background in the quantum inelastic scattering amplitudes are…

Nuclear Theory · Physics 2007-09-25 Taksu Cheon

A semiclassical picture of spontaneous symmetry breaking in light front field theory is formulated. It is based on a finite-volume quantization of self-interacting scalar fields obeying antiperiodic boundary conditions. This choice avoids a…

High Energy Physics - Theory · Physics 2008-12-18 L. Martinovic

For free fields, pair creation in expanding universes is associated with the building up of correlations that lead to nonseparable states, i.e., quantum mechanically entangled ones. For dissipative fields, i.e., fields coupled to an…

High Energy Physics - Theory · Physics 2013-07-02 Julian Adamek , Xavier Busch , Renaud Parentani

We study the scattering dynamics of an $n$-component spinor wavefunction in a random environment on a two-dimensional lattice. In the presence of particle-hole symmetry we find diffusion on large scales. The latter is described by a…

Disordered Systems and Neural Networks · Physics 2012-07-30 K. Ziegler

We study kink scattering processes in the (1+1)-dimensional $\varphi^6$ model in the framework of the collective coordinate approximation. We find critical values of the initial velocities of the colliding kinks. These critical velocities…

High Energy Physics - Theory · Physics 2016-02-12 Vakhid A. Gani , Alexander E. Kudryavtsev , Mariya A. Lizunova

We present for the first time a determination of the energy dependence of the isoscalar $\pi\pi$ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed…

High Energy Physics - Phenomenology · Physics 2017-01-18 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We investigate non-trivial topological structures in Discrete Light Cone Quantization (DLCQ) through the example of the broken symmetry phase of the two dimensional $\phi^4$ theory using anti periodic boundary condition (APBC). We present…

High Energy Physics - Theory · Physics 2009-11-10 Dipankar Chakrabarti , A. Harindranath , Lubomir Martinovic , J. P. Vary

We describe a background independent quantization of the scalar field that provides an explicit realization of Fock-like states and associated operators in a polymer Hilbert space. The vacuum expectation values of the commutator and…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Viqar Husain , Andreas Kreienbuehl

Using a recent thermal-field-theory approach to cosmological perturbations, the exact solutions that were found for collisionless ultrarelativistic matter are generalized to include the effects from weak self-interactions in a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Herbert Nachbagauer , Anton K. Rebhan , Dominik J. Schwarz

In a general (2+1)-dimensional scalar model, we consider the scattering of a single quantum of radiation off a domain wall string, which excites or de-excites the wall's internal shape mode. We refer to these two process as Stokes and…

High Energy Physics - Theory · Physics 2024-12-19 Hengyuan Guo , Hui Liu , Jarah Evslin

Nonlinearities in the dispersion relations associated with different interactions designs, boundary conditions and the existence of a physical cut-off scale can alter the quantum vacuum energy of a nonrelativistic system nontrivially. As a…

High Energy Physics - Theory · Physics 2024-01-08 Matthew Edmonds , Antonino Flachi , Marco Pasini

In this paper we analyse the boundedness of solutions $\phi$ of the wave equation in the Oppenheimer--Snyder model of gravitational collapse in both the case of a reflective dust cloud and a permeating dust cloud. We then proceed to define…

General Relativity and Quantum Cosmology · Physics 2020-03-16 Frederick Alford

In quantum gravity, fields may lose quantum coherence by scattering off vacuum fluctuations in which virtual black hole pairs appear and disappear. Although it is not possible to properly compute the scattering off such fluctuations, we…

High Energy Physics - Theory · Physics 2009-10-30 S. W. Hawking , Simon F. Ross

We consider the out-of-equilibrium evolution of a classical condensate field $\phi=<\Phi>$ and its quantum fluctuations for a $\Phi^4$ model in 1+1 dimensions with a double well potential. We use the two-particle point-irreducible (2PPI)…

High Energy Physics - Phenomenology · Physics 2016-09-06 Jurgen Baacke , Andreas Heinen