scholarly journals Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Fabiano C. Simas ◽  
Fred C. Lima ◽  
K. Z. Nobrega ◽  
Adalto R. Gomes
Keyword(s):  
Scattering Process ◽  
Topological Sector ◽  
Sine Gordon Model

Abstract We study kink-antikink collisions in a particular case of the double sine-Gordon model depending on only one parameter r. The scattering process of large kink-antikink shows the changing of the topological sector. For some parameter intervals we observed two connected effects: the production of multiple antikink-kink pairs and up to three solitary oscillations. The scattering process for small kink-antikink has several possibilities: the changing of the topological sector, one-bounce collision, two-bounce collision, or formation of a bion state. In particular, we observed for small values of rand velocities, the formation of false two-bounce windows and the suppression of true two-bounce windows, despite the presence of an internal shape mode.

scholarly journals Black hole S-matrix for a scalar field

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Panos Betzios ◽  
Nava Gaddam ◽  
Olga Papadoulaki
Keyword(s):  
Black Hole ◽  
Normal Modes ◽  
Massless Scalar ◽  
Scattering Process ◽  
Schwarzschild Black Hole ◽  
Asymptotically Flat ◽  
Scalar Particles ◽  
Black Hole Background ◽  
S Matrix ◽  
Do So

Abstract We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes governing the dynamics of the scattering process. The first describes the evolution of the modes in the region away from the horizon and can be analysed in terms of the effective Regge-Wheeler potential. In the near horizon region, where the Regge-Wheeler potential becomes insignificant, the WKB geometric optics approximation of Hawking’s is replaced by the near-horizon gravitational scattering matrix that captures non-perturbative soft graviton exchanges near the horizon. We perform an appropriate matching for the scattering solutions of these two dynamical problems and compute the resulting Bogoliubov relations, that combines both dynamics. This allows us to formulate an S-matrix for the scattering process that is manifestly unitary. We discuss the analogue of the (quasi)-normal modes in this setup and the emergence of gravitational echoes that follow an original burst of radiation as the excited black hole relaxes to equilibrium.

scholarly journals Classical sub-subleading soft photon and soft graviton theorems in four spacetime dimensions

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Biswajit Sahoo
Keyword(s):  
Fourier Transformation ◽  
Soft Photon ◽  
Scattering Process ◽  
Retarded Time ◽  
Long Wavelength ◽  
Macroscopic Objects ◽  
Loop Amplitudes

Abstract Classical soft photon and soft graviton theorems determine long wavelength electromagnetic and gravitational waveforms for a general classical scattering process in terms of the electric charges and asymptotic momenta of the ingoing and outgoing macroscopic objects. Performing Fourier transformation of the electromagnetic and gravitational waveforms in the frequency variable one finds electromagnetic and gravitational waveforms at late and early retarded time. Here extending the formalism developed in [1], we derive sub-subleading electromagnetic and gravitational waveforms which behave like u−2(ln u) at early and late retarded time u in four spacetime dimensions. We also have derived the sub-subleading soft photon theorem analyzing two loop amplitudes in scalar QED. Finally, we conjectured the structure of leading non-analytic contribution to (sub)n-leading classical soft photon and graviton theorems which behave like u−n(ln u)n−1 for early and late retarded time u.

scholarly journals Experimental measures of topological sector fluctuations in the F-model

2020 ◽  
Vol 102 (21) ◽  
Author(s):  
Daan M. Arroo ◽  
Steven T. Bramwell
Keyword(s):  
Topological Sector

Sine-Gordon model with local symmetric potentials

1998 ◽  
Vol 7 (10) ◽  
pp. 739-743
Author(s):  
Ye Fei ◽  
Xu Bo-wei
Keyword(s):  
Sine Gordon Model

On the renormalization of the two-point Green function in the sine-Gordon model

2006 ◽  
Vol 39 (9) ◽  
pp. 2177-2201 ◽  
Author(s):  
H Bozkaya ◽  
M Faber ◽  
A N Ivanov ◽  
M Pitschmann
Keyword(s):  
Green Function ◽  
Sine Gordon Model

scholarly journals Massless Boundary Sine-Gordon Model Coupled to External Fields

2005 ◽  
Vol 2005 (01) ◽  
pp. 048-048 ◽  
Author(s):  
H Kogetsu ◽  
S Teraguchi
Keyword(s):  
External Fields ◽  
Sine Gordon Model

scholarly journals Topological-Sector Fluctuations and Curie-Law Crossover in Spin Ice

2013 ◽  
Vol 3 (1) ◽  
Author(s):  
L. D. C. Jaubert ◽  
M. J. Harris ◽  
T. Fennell ◽  
R. G. Melko ◽  
S. T. Bramwell ◽  
...  
Keyword(s):  
Spin Ice ◽  
Topological Sector
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