Generalized uncertainty principle and stochastic gravitational wave background spectrum

Abstract

This paper concerned with the effect of generalized uncertainty principle (GUP) on the stochastic gravitational wave (SGW) background signal that produced during first order cosmological QCD phase transition in early universe. A modified formula of entropy is used to calculate the temporal evolution of temperature of the universe as a function of the Hubble parameter. The pressure that results from the recent lattice calculations, which provides parameterizations of the pressure due to $u,d,s$ quarks and gluons, with trace anomaly is used to describe the equation of state around QCD epoch. A redshift in the peak frequency of SGW at current epoch is calculated. The results indicate an increase in the frequency peak due to GUP effect, which improves the ability to detect it. Taking into account bubble wall collisions (BWC) and turbulent magnetohydrodynamics (MHD) as a source of SGW, a fractional energy density is investigated. It is found that the GUP effect weakens the SGW signal generated during QCD phase transition in comparison to its counterpart in the absence of GUP. These results support understanding the cosmological QCD phase transition and test the effectiveness of the GUP theory.

10 pages, 7 figures, revtex4, to appear in Physics Letters B

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Cited by in corpus (7)

• Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition
• On the Chandrasekhar Limit in Generalized Uncertainty Principles
• 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
• Generalized Uncertainty Principle from the Regularized Self-Energy
• Testing the Quantum Equivalence Principle with Gravitational Waves
• GUP/BEB correspondence