scholarly journals Field-theoretic derivation of bubble-wall force

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Marc Barroso Mancha ◽  
Tomislav Prokopec ◽  
Bogumiła Świeżewska
Keyword(s):  
Standard Model ◽  
Lorentz Factor ◽  
Momentum Tensor ◽  
Active Species ◽  
Local Thermal Equilibrium ◽  
First Order ◽  
Opposite Case ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
First Order Phase

Abstract We derive a general quantum field theoretic formula for the force acting on expanding bubbles of a first order phase transition in the early Universe setting. In the thermodynamic limit the force is proportional to the entropy increase across the bubble of active species that exert a force on the bubble interface. When local thermal equilibrium is attained, we find a strong friction force which grows as the Lorentz factor squared, such that the bubbles quickly reach stationary state and cannot run away. We also study an opposite case when scatterings are negligible across the wall (ballistic limit), finding that the force saturates for moderate Lorentz factors thus allowing for a runaway behavior. We apply our formalism to a massive real scalar field, the standard model and its simple portal extension. For completeness, we also present a derivation of the renormalized, one-loop, thermal energy-momentum tensor for the standard model and demonstrate its gauge independence.

Scale-genesis — Origin of gravitational waves

2018 ◽  
Vol 33 (31) ◽  
pp. 1844019
Author(s):  
Jisuke Kubo
Keyword(s):  
Phase Transition ◽  
Standard Model ◽  
Gravitational Wave ◽  
Order Phase Transition ◽  
Energy Scale ◽  
Background Spectrum ◽  
First Order ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
First Order Phase

We consider two realistic models for a scale invariant extension of the standard model, which couples with a hidden non-Abelian gauge sector. At energies around TeV, the hidden sector becomes strongly interacting, thereby generating a robust energy scale, which is transferred to the standard model sector, triggering the electroweak symmetry breaking. At a finite temperature, i.e. in the early Universe, the generation of the robust energy scale appears as a strong first-order phase transition. We calculate the gravitational wave background spectrum for both models, which is produced by the first-order phase transition. We compare the results with the experimental sensitivity of LISA and DECIGO and find the gravitational wave signal may be detected at DECIGO.

scholarly journals Mapping the shape of the scalar potential with gravitational waves

2019 ◽  
Vol 34 (33) ◽  
pp. 1950223
Author(s):  
Mikael Chala ◽  
Valentin V. Khoze ◽  
Michael Spannowsky ◽  
Philip Waite
Keyword(s):  
Phase Transition ◽  
Standard Model ◽  
Gravitational Wave ◽  
Order Phase Transition ◽  
Effective Potential ◽  
Scalar Potential ◽  
First Order ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
First Order Phase

We study the dependence of the observable stochastic gravitational wave background induced by a first-order phase transition on the global properties of the scalar effective potential in particle physics. The scalar potential can be that of the Standard Model Higgs field, or more generally of any scalar field responsible for a spontaneous symmetry breaking in beyond-the-Standard-Model settings that provide for a first-order phase transition in the early universe. Characteristics of the effective potential include the relative depth of the true minimum [Formula: see text], the height of the barrier that separates it from the false one [Formula: see text] and the separation between the two minima in field space [Formula: see text], all at the bubble nucleation temperature. We focus on a simple yet quite general class of single-field polynomial potentials, with parameters being varied over several orders of magnitude. It is then shown that gravitational wave observatories such as aLIGO O5, BBO, DECIGO and LISA are mostly sensitive to values of these parameters in the region [Formula: see text]. Finally, relying on well-defined models and using our framework, we demonstrate how to obtain the gravitational wave spectra for potentials of various shapes without necessarily relying on dedicated software packages.

scholarly journals Theoretical uncertainties for cosmological first-order phase transitions

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Djuna Croon ◽  
Oliver Gould ◽  
Philipp Schicho ◽  
Tuomas V. I. Tenkanen ◽  
Graham White
Keyword(s):  
Phase Transitions ◽  
Standard Model ◽  
Scale Dependence ◽  
Effective Field ◽  
Bubble Nucleation ◽  
Perturbative Approach ◽  
First Order ◽  
The Standard Model ◽  
First Order Phase ◽  
Renormalisation Scale

Abstract We critically examine the magnitude of theoretical uncertainties in perturbative calculations of fist-order phase transitions, using the Standard Model effective field theory as our guide. In the usual daisy-resummed approach, we find large uncertainties due to renormalisation scale dependence, which amount to two to three orders-of-magnitude uncertainty in the peak gravitational wave amplitude, relevant to experiments such as LISA. Alternatively, utilising dimensional reduction in a more sophisticated perturbative approach drastically reduces this scale dependence, pushing it to higher orders. Further, this approach resolves other thorny problems with daisy resummation: it is gauge invariant which is explicitly demonstrated for the Standard Model, and avoids an uncontrolled derivative expansion in the bubble nucleation rate.

Ring-diagram summations in the finite-temperature effective potential

1993 ◽  
Vol 71 (5-6) ◽  
pp. 227-236 ◽  
Author(s):  
M. E. Carrington
Keyword(s):  
Phase Transition ◽  
Standard Model ◽  
Effective Potential ◽  
Finite Temperature ◽  
Electroweak Phase Transition ◽  
First Order ◽  
Ring Diagram ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
The One

There has been much recent interest in the finite-temperature effective potential of the standard model in the context of the electroweak phase transition. We review the calculation of the effective potential with particular emphasis on the validity of the expansions that are used. The presence of a term that is cubic in the Higgs condensate in the one-loop effective potential appears to indicate a first-order electroweak phase transition. However, in the high-temperature regime, the infrared singularities inherent in massless models produce cubic terms that are of the same order in the coupling. In this paper, we discuss the inclusion of an infinite set of these terms via the ring-diagram summation, and show that the standard model has a first-order phase transition in the weak coupling expansion.

scholarly journals Upper limit on first-order electroweak phase transition strength

2021 ◽  
Vol 36 (05) ◽  
pp. 2150024
Author(s):  
Shehu AbdusSalam ◽  
Mohammad Javad Kazemi ◽  
Layla Kalhor
Keyword(s):  
Phase Transition ◽  
Particle Physics ◽  
Baryon Number ◽  
Transition Strength ◽  
Bubble Wall ◽  
Electroweak Phase Transition ◽  
First Order ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
First Order Phase

For a cosmological first-order electroweak phase transition, requiring no sphaleron washout of baryon number violating processes leads to a lower bound on the strength of the transition. The velocity of the boundary between the phases, the so-called bubble wall, can become ultrarelativistic if the friction due to the plasma of particles is not sufficient to retard the wall’s acceleration. This bubble “runaway” should not occur if a successful baryon asymmetry generation due to the transition is required. Using Boedeker–Moore criterion for bubble wall runaway, within the context of an extension of the Standard Model of particle physics with a real gauge-single scalar field, we show that a nonrunaway transition requirement puts an upper bound on the strength of the first-order phase transition.

scholarly journals PHASE TRANSITIONS FOR A ϕ6 MODEL IN (2+1)-DIMENSIONAL CURVED SPACETIME

2003 ◽  
Vol 18 (13) ◽  
pp. 937-946 ◽  
Author(s):  
MINU JOY ◽  
V. C. KURIAKOSE
Keyword(s):  
Phase Transitions ◽  
Effective Potential ◽  
Momentum Tensor ◽  
Type I ◽  
Curved Spacetime ◽  
First Order ◽  
Spacetime Curvature ◽  
First Order Phase Transition ◽  
The One ◽  
First Order Phase

Considering a massive ϕ6 self-interacting scalar field coupled arbitrarily to a (2+1)-dimensional Bianchi type-I spacetime, we evaluate the one-loop effective potential. It is found that ϕ6 potential can be regularized in (2+1)-dimensional curved spacetime. A finite expression for the energy–momentum tensor is obtained for this model. Evaluating the finite temperature effective potential, the temperature dependence of phase transitions is studied. The crucial dependence of the phase transitions on the spacetime curvature and on the coupling to gravity is also studied. The nature of phase transitions for the present model is clarified to be first order. A first-order phase transition proceeds by nucleation of bubbles of broken phase in the background of unbroken phase.

scholarly journals Electroweak Baryogenesis with Anomalous Higgs Couplings

2016 ◽  
Vol 43 ◽  
pp. 1660200
Author(s):  
Archil Kobakhidze ◽  
Lei Wu ◽  
Jason Yue
Keyword(s):  
Phase Transition ◽  
Higgs Boson ◽  
Gauge Symmetry ◽  
Top Quark ◽  
Standard Model Particle ◽  
Particle Content ◽  
First Order ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
First Order Phase

In non-linear realisation of the electroweak gauge symmetry, the LHC Higgs boson can be assumed to be a singlet under [Formula: see text]. In such scenario, the Standard Model particle content can be kept but new sets of couplings are allowed. We identify a range of anomalous Higgs cubic and the [Formula: see text]-violating Higgs-top quark couplings that leads to first order phase transition and successful baryogenesis at the electroweak scale.

scholarly journals Pseudo-Goldstone dark matter: gravitational waves and direct-detection blind spots

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Tommi Alanne ◽  
Nico Benincasa ◽  
Matti Heikinheimo ◽  
Kristjan Kannike ◽  
Venus Keus ◽  
...  
Keyword(s):  
Dark Matter ◽  
Gravitational Wave ◽  
Cross Section ◽  
Direct Detection ◽  
Big Bang ◽  
First Order ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
First Order Phase ◽  
Blind Spots

Abstract Pseudo-Goldstone dark matter is a thermal relic with momentum-suppressed direct-detection cross section. We study the most general model of pseudo-Goldstone dark matter arising from the complex-singlet extension of the Standard Model. The new U(1) symmetry of the model is explicitly broken down to a CP-like symmetry stabilising dark matter. We study the interplay of direct-detection constraints with the strength of cosmic phase transitions and possible gravitational-wave signals. While large U(1)-breaking interactions can generate a large direct-detection cross section, there are blind spots where the cross section is suppressed. We find that sizeable cubic couplings can give rise to a first-order phase transition in the early universe. We show that there exist regions of the parameter space where the resulting gravitational-wave signal can be detected in future by the proposed Big Bang Observer detector.

scholarly journals A simple description of holographic domain walls in confining theories — extended hydrodynamics

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Romuald A. Janik ◽  
Matti Järvinen ◽  
Jacob Sonnenschein
Keyword(s):  
Domain Walls ◽  
Numerical Solutions ◽  
Momentum Tensor ◽  
Simple Formulation ◽  
Simple Description ◽  
First Order ◽  
First Order Phase Transition ◽  
Covariant Description ◽  
Extended Hydrodynamics ◽  
First Order Phase

Abstract In the context of theories with a first order phase transition, we propose a general covariant description of coexisting phases separated by domain walls using an additional order parameter-like degree of freedom. In the case of a holographic Witten model with a confining and deconfined phase, the resulting model extends hydrodynamics and has a simple formulation in terms of a spacetime action with corresponding expressions for the energy-momentum tensor. The proposed description leads to simple analytic profiles of domain walls, including expressions for surface tension density, which agree nicely with holographic numerical solutions, despite the apparent complexity of those gravitational backgrounds.

scholarly journals Phase transitions in the early universe

2021 ◽  
Author(s):  
Mark Hindmarsh ◽  
Marvin Lüben ◽  
Johannes Lumma ◽  
Martin Pauly
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Standard Model ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Early Universe ◽  
Order Approximation ◽  
First Order ◽  
The Standard Model ◽  
First Order Phase

These lecture notes are based on a course given by Mark Hindmarsh at the 24th Saalburg Summer School 2018 and written up by Marvin Lüben, Johannes Lumma and Martin Pauly. The aim is to provide the necessary basics to understand first-order phase transitions in the early universe, to outline how they leave imprints in gravitational waves, and advertise how those gravitational waves could be detected in the future. A first-order phase transition at the electroweak scale is a prediction of many theories beyond the Standard Model, and is also motivated as an ingredient of some theories attempting to provide an explanation for the matter-antimatter asymmetry in our Universe. Starting from bosonic and fermionic statistics, we derive Boltzmann's equation and generalise to a fluid of particles with field dependent mass. We introduce the thermal effective potential for the field in its lowest order approximation, discuss the transition to the Higgs phase in the Standard Model and beyond, and compute the probability for the field to cross a potential barrier. After these preliminaries, we provide a hydrodynamical description of first-order phase transitions as it is appropriate for describing the early Universe. We thereby discuss the key quantities characterising a phase transition, and how they are imprinted in the gravitational wave power spectrum that might be detectable by the space-based gravitational wave detector LISA in the 2030s.

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