Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition

Abstract

We investigate thoroughly the temporal evolution of the universe temperature as a function of the Hubble parameter associated with the Stochastic Gravitational Wave (SGW), that formed at the cosmological QCD phase transition epoch to the current epoch, within the Generalized Uncertainty Principle (GUP) framework. Here we use GUP version which provide constraints on the minimum measurable length and the maximum observable momentum, that characterized by a free parameter $\alpha$. We study the effect of this parameter on the SGW background. We show that the effect can slightly enhance the SGW frequency in the lower frequency regime which might be important in the detection of SGW in the future GW detection facilities.

arXiv comment11 pages, 7 figures

References in corpus (44)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Quantum gravity and minimum length
• The equation of state in (2+1)-flavor QCD
• A Generalized Uncertainty Principle in Quantum Gravity
• Gravitational Radiation from First-Order Phase Transitions
• Is There a Hot Electroweak Phase Transition at $m_H\gsim m_W$?
• Discreteness of Space from the Generalized Uncertainty Principle
• Probing Planck-scale physics with quantum optics
• The QCD Equation of State with almost Physical Quark Masses
• The algebraic structure of the generalized uncertainty principle
• The Electroweak Phase Transition: A Non-Perturbative Analysis
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• Science with the space-based interferometer eLISA. I: Supermassive black hole binaries
• Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond
• A proposal for testing Quantum Gravity in the lab
• The QCD phase transition with physical-mass, chiral quarks
• Gravitational Waves From a Dark (Twin) Phase Transition
• Gravitational wave generation from bubble collisions in first-order phase transitions: an analytic approach
• Discreteness of Space from GUP II: Relativistic Wave Equations
• Gravitational Radiation From Cosmological Turbulence
• Signatures in the Planck Regime
• Gravitational waves from stochastic relativistic sources: primordial turbulence and magnetic fields
• The International Pulsar Timing Array
• Gravitational waves from bubble collisions: analytic derivation
• Quantum Uncertainty in Doubly Special Relativity
• Detection of gravitational waves from the QCD phase transition with pulsar timing arrays
• Probing the Scale of New Physics by Advanced LIGO/VIRGO
• QCD Thermodynamics from the Lattice
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
• Planck scale effects on some low energy quantum phenomena
• Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty
• Gravitational waves at aLIGO and vacuum stability with a scalar singlet extension of the Standard Model
• More on the initial singularity problem in gravity's rainbow cosmology
• A new bound on polymer quantization via an opto-mechanical setup
• Towards a Cosmology with Minimal Length and Maximal Energy
• Deviation from the Standard Uncertainty Principle and the Dark Energy Problem
• Cosmology with minimal length uncertainty relations
• Planck scale effects on the stochastic gravitational wave background generated from cosmological hadronization transition: A qualitative study
• The quark chemical potential of QCD phase transition and the stochastic background of gravitational waves
• On the viability of Planck scale cosmology with quartessence
• Generalized uncertainty principle and stochastic gravitational wave background spectrum
• Multi-Dimensional Cosmology and DSR-GUP

Cited by in corpus (4)

• 30 years in: Quo vadis generalized uncertainty principle?
• The Heisenberg limit at cosmological scales
• Phase transitions, critical behavior and microstructure of the FRW universe in the framework of higher order GUP
• A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound