BubbleDet: a Python package to compute functional determinants for bubble nucleation

Ekstedt, Andreas; Gould, Oliver; Hirvonen, Joonas

doi:10.1007/jhep12(2023)056

Cited by 10 publications

(2 citation statements)

References 84 publications

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“…The attempt frequency and density are set by microscopic dynamics of the order parameter and are difficult to calculate. This calculation has recently been automated for a single-component order parameter [41], but the rate evaluation for the 18-component order parameter of 3 He is far more of a challenging. However, the pair correlation length, ξ, provides an estimate for the maximum density, n a ∼ ξ −3 .…”

Section: The A-b Nucleation Puzzlementioning

confidence: 99%

A-B transition in superfluid 3He and cosmological phase transitions

Hindmarsh,

Sauls,

Zhang

et al. 2024

Preprint

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First order phase transitions in the very early universe are a prediction of many extensions of the Standard Model of particle physics and could provide the departure from equilibrium needed for a dynamical explanation of the baryon asymmetry of the Universe. They could also produce gravitational waves of a frequency observable by future space-based detectors such as the Laser Interferometer Space Antenna (LISA). All calculations of the gravitational wave power spectrum rely on a relativistic version of the classical nucleation theory of Cahn-Hilliard and Langer, due to Coleman and Linde. The high purity and precise control of pressure and temperature achievable in the laboratory made the first-order A to B transition of superfluid 3He ideal for test of classical nucleation theory. As Leggett and others have noted the theory fails dramatically. The lifetime of the metastable A phase is measurable, typically of order minutes to hours, far faster than classical nucleation theory predicts. If the nucleation of B phase from the supercooled A phase is due to a new, rapid intrinsic mechanism that would have implications for first-order cosmological phase transitions as well as predictions for gravitational wave (GW) production in the early universe. Here we discuss studies of the A-B phase transition dynamics in 3He, both experimental and theoretical, and show how the computational technology for cosmological phase transition can be used to simulate the dynamics of the A-B transition, support the experimental investigations of the A-B transition in the QUEST-DMC collaboration with the goal of identifying and quantifying the mechanism(s) responsible for nucleation of stable phases in ultra-pure metastable quantum phases.

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Section: The A-b Nucleation Puzzlementioning

confidence: 99%

A-B transition in superfluid 3He and cosmological phase transitions

Hindmarsh,

Sauls,

Zhang

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

“…The attempt frequency and density are set by microscopic dynamics of the order parameter and are difficult to calculate. This calculation has recently been automated for a single-component order parameter [43], but the rate evaluation for the 18-component order parameter of 3 He is more challenging. However, the pair correlation length, , provides an estimate for the maximum density, n a ∼ −3 .…”

Section: The A-b Nucleation Puzzlementioning

confidence: 99%

A-B Transition in Superfluid $$^3$$He and Cosmological Phase Transitions

Hindmarsh,

Sauls,

Zhang

et al. 2024

J Low Temp Phys

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First-order phase transitions in the very early universe are a prediction of many extensions of the Standard Model of particle physics and could provide the departure from equilibrium needed for a dynamical explanation of the baryon asymmetry of the Universe. They could also produce gravitational waves of a frequency observable by future space-based detectors such as the Laser Interferometer Space Antenna. All calculations of the gravitational wave power spectrum rely on a relativistic version of the classical nucleation theory of Cahn-Hilliard and Langer, due to Coleman and Linde. The high purity and precise control of pressure and temperature achievable in the laboratory made the first-order A to B transition of superfluid $$^3$$ 3 He ideal for test of classical nucleation theory. As Leggett and others have noted, the theory fails dramatically. The lifetime of the metastable A phase is measurable, typically of order minutes to hours, far faster than classical nucleation theory predicts. If the nucleation of B phase from the supercooled A phase is due to a new, rapid intrinsic mechanism that would have implications for first-order cosmological phase transitions as well as predictions for gravitational wave production in the early universe. Here we discuss studies of the A-B phase transition dynamics in $$^3$$ 3 He, both experimental and theoretical, and show how the computational technology for cosmological phase transition can be used to simulate the dynamics of the A-B transition, support the experimental investigations of the A-B transition in the QUEST-DMC collaboration with the goal of identifying and quantifying the mechanism(s) responsible for nucleation of stable phases in ultra-pure metastable quantum phases.

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Gravitational waves from supercooled phase transitions: dimensional transmutation meets dimensional reduction

Kierkla,

Świeżewska,

Tenkanen

et al. 2024

J. High Energ. Phys.

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Models with radiative symmetry breaking typically feature strongly supercooled first-order phase transitions, which result in an observable stochastic gravitational wave background. In this work, we analyse the role of higher-order thermal corrections for these transitions, applying high-temperature dimensional reduction to a theory with dimensional transmutation. In particular, we study to what extent high-temperature effective field theories (3D EFT) can be used. We find that despite significant supercooling down from the critical temperature, the high-temperature expansion for the bubble nucleation rate can be applied using the 3D EFT framework, and we point out challenges in the EFT description. We compare our findings to previous studies and find that the next-to-leading order corrections obtained in this work have a significant effect on the predictions for GW observables, motivating a further exploration of higher-order thermal effects.

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BubbleDet: a Python package to compute functional determinants for bubble nucleation

Cited by 10 publications

References 84 publications

A-B transition in superfluid 3He and cosmological phase transitions

A-B transition in superfluid 3He and cosmological phase transitions

A-B Transition in Superfluid $$^3$$He and Cosmological Phase Transitions

Gravitational waves from supercooled phase transitions: dimensional transmutation meets dimensional reduction

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