# Effects of QCD equation of state on the stochastic gravitational wave background

## Abstract

Cosmological phase transitions can be a source of Stochastic Gravitational Wave (SGW) background. Apart from the dynamics of the phase transition, the characteristic frequency and the fractional energy density Ω{sub gw} of the SGW depends upon the temperature of the transition. In this article, we compute the SGW spectrum in the light of QCD equation of state provided by the lattice results. We find that the inclusion of trace anomaly from lattice QCD, enhances the SGW signal generated during QCD phase transition by ∼ 50% and the peak frequency of the QCD era SGW are shifted higher by ∼ 25% as compared to the earlier estimates without trace anomaly. This result is extremely significant for testing the phase transition dynamics near QCD epoch.

- Authors:

- Physical Research Laboratory, Ahmedabad 380009 (India)
- Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721302 (India)

- Publication Date:

- OSTI Identifier:
- 22679988

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 03; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COMPARATIVE EVALUATIONS; COSMOLOGICAL MODELS; ENERGY DENSITY; EQUATIONS OF STATE; GRAVITATIONAL WAVES; PHASE TRANSFORMATIONS; QUANTUM CHROMODYNAMICS; SPECTRA; STOCHASTIC PROCESSES; VISIBLE RADIATION

### Citation Formats

```
Anand, Sampurn, Mohanty, Subhendra, and Dey, Ujjal Kumar, E-mail: sampurn@prl.res.in, E-mail: ujjal@cts.iitkgp.ernet.in, E-mail: mohanty@prl.res.in.
```*Effects of QCD equation of state on the stochastic gravitational wave background*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/03/018.

```
Anand, Sampurn, Mohanty, Subhendra, & Dey, Ujjal Kumar, E-mail: sampurn@prl.res.in, E-mail: ujjal@cts.iitkgp.ernet.in, E-mail: mohanty@prl.res.in.
```*Effects of QCD equation of state on the stochastic gravitational wave background*. United States. doi:10.1088/1475-7516/2017/03/018.

```
Anand, Sampurn, Mohanty, Subhendra, and Dey, Ujjal Kumar, E-mail: sampurn@prl.res.in, E-mail: ujjal@cts.iitkgp.ernet.in, E-mail: mohanty@prl.res.in. Wed .
"Effects of QCD equation of state on the stochastic gravitational wave background". United States.
doi:10.1088/1475-7516/2017/03/018.
```

```
@article{osti_22679988,
```

title = {Effects of QCD equation of state on the stochastic gravitational wave background},

author = {Anand, Sampurn and Mohanty, Subhendra and Dey, Ujjal Kumar, E-mail: sampurn@prl.res.in, E-mail: ujjal@cts.iitkgp.ernet.in, E-mail: mohanty@prl.res.in},

abstractNote = {Cosmological phase transitions can be a source of Stochastic Gravitational Wave (SGW) background. Apart from the dynamics of the phase transition, the characteristic frequency and the fractional energy density Ω{sub gw} of the SGW depends upon the temperature of the transition. In this article, we compute the SGW spectrum in the light of QCD equation of state provided by the lattice results. We find that the inclusion of trace anomaly from lattice QCD, enhances the SGW signal generated during QCD phase transition by ∼ 50% and the peak frequency of the QCD era SGW are shifted higher by ∼ 25% as compared to the earlier estimates without trace anomaly. This result is extremely significant for testing the phase transition dynamics near QCD epoch.},

doi = {10.1088/1475-7516/2017/03/018},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 03,

volume = 2017,

place = {United States},

year = {Wed Mar 01 00:00:00 EST 2017},

month = {Wed Mar 01 00:00:00 EST 2017}

}