The quark chemical potential of QCD phase transition and the stochastic background of gravitational waves

Abstract

The detection of stochastic background of gravitational waves (GWs), produced by cosmological phase transitions (PTs), is of fundamental importance because allows to probe the physics related to PT energy scales. Motivated by the decisive role of non-zero quark chemical potential towards understanding physics in the core of neutron stars, quark stars and heavy-ion collisions, in this paper we qualitatively explore the stochastic background of GW spectrum generated by a cosmological source such as high-density QCD first order PT during the early Universe. Specifically, we calculate the frequency peak $f_{peak}$ redshifted at today time and the fractional energy density ${\Omega }_{gw}{h}^2$ in light of equation-of-state improved by the finite quark (baryon) chemical potential (we consider an effective three flavor chiral quarks model of QCD). Our calculations reveal a striking increase in $f_{peak}$ and ${\Omega }_{gw}{h}^2$ due to the quark chemical potential, which means to improve the chances of detection, in possible future observations (in particular SKA/PTA experiments), of the stochastic background of GWs from QCD first order PT. Even if the improvements could be weak, by updating the sensitivity of relevant detectors in the future, we can still remain hopeful. Concerning the phenomenological contribution of QCD equation-of-state, and in particular the possibility to detect a stochastic GW signal, we further show that the role of the quark chemical potential is model-dependent. This feature allows to discriminate among possible QCD effective models depending on their capability to shed light on the dynamic of QCD-PT through future observations of primordial GWs. In this perspective, the results are indeed encouraging to employ the GWs to study the QCD PT in high density strong interaction matter.

arXiv comment12 pages, 4 figures, to appear in Phys. Lett. B

References in corpus (35)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Gravitational Radiation from First-Order Phase Transitions
• Gravitational wave generation from bubble collisions in first-order phase transitions: an analytic approach
• Gravitational Radiation From Cosmological Turbulence
• Gravitational waves from stochastic relativistic sources: primordial turbulence and magnetic fields
• The International Pulsar Timing Array
• Gravitational waves from bubble collisions: analytic derivation
• Gravitational waves from vacuum first-order phase transitions: from the envelope to the lattice
• Strong-Field Tests of Gravity Using Pulsars and Black Holes
• The Gravitational-Wave Physics
• On finite-density QCD at large Nc
• Massive, massless and ghost modes of gravitational waves from higher-order gravity
• Phase diagram and surface tension in the three-flavor Polyakov-quark-meson model
• Revisiting the envelope approximation: gravitational waves from bubble collisions
• Measuring Neutron Star Radii with Gravitational Wave Detectors
• The Influence of Quark Matter at High Densities on Binary Neutron Star Mergers
• Test-particle dynamics in general spherically symmetric black hole spacetimes
• Various features of quasiequilibrium sequences of binary neutron stars in general relativity
• Impact of the nuclear equation of state on the last orbits of binary neutron stars
• The evolution of gravitons in accelerating cosmologies: the case of extended gravity
• Possible Cosmological Implications of the Quark-Hadron Phase Transition
• Gravitational Effective Action at Second Order in Curvature and Gravitational Waves
• Gluon condensates in a cold quark gluon plasma
• Last orbits of binary strange quark stars
• The cosmic QCD phase transition with dense matter and its gravitational waves from holography
• The quark gluon plasma equation of state and the expansion of the early Universe
• Planck scale effects on the stochastic gravitational wave background generated from cosmological hadronization transition: A qualitative study
• Self-bound Interacting QCD Matter in Compact Stars
• Quark-Hadron Phase Transitions in Brane-World Cosmologies
• Testing Dark Matter Models with Radio Telescopes in light of Gravitational Wave Astronomy
• Horava-Lifshitz early universe phase transition beyond detailed balance
• Baryon inhomogeneities in a charged quark gluon plasma

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• Gravitational Waves from the Cosmological Quark-Hadron Phase Transition Revisited
• Barrow entropy and stochastic gravitational wave background generated from cosmological QCD phase transition
• Primordial gravitational waves from spontaneous Lorentz symmetry breaking
• Gravitational waves from patterns of electroweak symmetry breaking: an effective perspective
• Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach
• Primordial observables of explicit diffeomorphism violation in gravity
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