The solitary solutions of nonlinear Klein-Gordon field with minimal length

  title={The solitary solutions of nonlinear Klein-Gordon field with minimal length},
  author={Amirreza Jahangiri and Sedigheh Miraboutalebi and Fatemeh Ahmadi and Amir Ali Masoudi},
  journal={Physics Letters B},
The existence of a minimal length is predicted by theories of quantum gravity and it is generally accepted that this minimal length should be of the order of the Planck length and hence can be observed in high energy phenomenon. We study the implications of the presence of the minimal length on the Klein-Gordon filed with φ self-interaction. Considering the process of spontaneous symmetry breaking, the potential also includes the φ term. The consequent field equation is a fourth-order… Expand

Figures from this paper


The modification of the Morse spectrum in the presence of the minimal length
Abstract By incorporating a minimal viable length into the ordinary quantum mechanics, the usual Heisenberg uncertainty principle is modified into a generalized one. From the dimensionalExpand
Quantum Gravitational Corrections to the Real Klein-Gordon Field in the Presence of a Minimal Length
The (D+1)-dimensional (β,β′)-two-parameter Lorentz-covariant deformed algebra introduced by Quesne and Tkachuk (J. Phys., A Math. Gen. 39, 10909, 2006), leads to a nonzero minimal uncertainty inExpand
String Theory Beyond the Planck Scale
Abstract The high-energy behavior of string scattering amplitudes is studied to all orders in perturbation theory, with the aim of exploring the short-distance structure of string theory. It is shownExpand
Minimal Length Scale Scenarios for Quantum Gravity
The question of whether the fundamental laws of nature limit the ability to probe arbitrarily short distances is reviewed, and what insights can be gained from thought experiments for probes of shortest distances are examined. Expand
Some thermodynamics modifications by the least length assumption via the microcanonical scheme
Abstract Here, we consider a quantum gravity effect that leads to the correction of the number of possible microstates for some microcanonical ensembles. Via the quantum gravity theories, it isExpand
Universality of quantum gravity corrections.
We show that the existence of a minimum measurable length and the related generalized uncertainty principle (GUP), predicted by theories of quantum gravity, influence all quantum Hamiltonians. Thus,Expand
Thermodynamics of canonical ensemble of an ideal gas in presence of Planck-scale effects
This paper investigates the influence of the generalized uncertainty principle (GUP) on the thermodynamics of the canonical ensemble of an ideal gas. The partition function is obtained byExpand
Quantum gravity modifications of the relativistic ideal gas thermodynamics
Abstract In the frame work of the generalized uncertainty principle, we study the theoretical modifications induced by the quantum gravity on the thermodynamics of the relativistic ideal gas. TheExpand
One-dimensional Coulomb-like problem in deformed space with minimal length
The spectrum and eigenfunctions in the momentum representation for a 1D Coulomb-like potential with deformed Heisenberg algebra leading to minimal length are found exactly. It is shown that theExpand
Maximal localization in the presence of minimal uncertainties in positions and in momenta
Small corrections to the uncertainty relations, with effects in the ultraviolet and/or infrared, have been discussed in the context of string theory and quantum gravity. Such corrections lead toExpand