On the Gauge Invariance of the Decay Rate of False Vacuum

Endo, Motoi; Moroi, Takeo; Nojiri, Mihoko M.; Shoji, Yutaro

doi:10.48550/arxiv.1703.09304

Cited by 4 publications

(11 citation statements)

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“…at O(g 4 T 4 ) in the first and O(gT ) in the second Nielsen identity. A combination of the explicit expressions ( 17), ( 20), (22), and (31) readily verifies both identities. In particular, the equality (34) holds since the NLO field renormalisation is ξ-independent and at LO C is φindependent.…”

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confidence: 54%

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Nucleation at finite temperature: a gauge-invariant, perturbative framework

Löfgren¹,

Ramsey-Musolf²,

Schicho³

et al. 2021

Preprint

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We present a gauge-invariant framework for bubble nucleation in theories with radiative symmetry breaking at high temperature. As a procedure, this perturbative framework establishes a practical, gauge-invariant computation of the leading order nucleation rate, based on a consistent power counting in the high-temperature expansion. In model building and particle phenomenology, this framework has applications such as the computation of the bubble nucleation temperature and the rate for electroweak baryogenesis and gravitational wave signals from cosmic phase transitions.

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supporting

confidence: 54%

“…[8,16] and references therein). While by now resolved at zero temperature [17][18][19][20][21][22], a similar, longstanding and open problem exists at finite temperature if the potential barrier between the phases is radiatively generated.…”

mentioning

confidence: 99%

Nucleation at finite temperature: a gauge-invariant, perturbative framework

Löfgren¹,

Ramsey-Musolf²,

Schicho³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Recently, a gauge-invariant expression of the decay rate has been derived for a case where gauge symmetry is spontaneously broken in the false vacuum [6]. In [6], a gauge fixing function which reduces to the R ξ gauge around the false vacuum has been adopted. (We call such a gauge as an R ξ -like gauge.)…”

Section: Introductionmentioning

confidence: 99%

“…(We call such a gauge as an R ξ -like gauge.) However the procedure proposed in [6] cannot be applied if gauge symmetry is preserved in the false vacuum. This is because, in such a case, there shows up a class of bounce configurations related by the internal symmetry, all of which contribute to the false vacuum decay.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we study the decay of the false vacuum in 4-dimensional (4D) gauge theory, paying particular attention to the gauge invariance of the decay rate. #1 We improve the analysis of [6] and present a prescription giving rise to a gauge-invariant expression of the decay rate, which is applicable to the symmetry-preserving false vacuum. We use the following gauge fixing function, F = ∂ µ A µ (with A µ being the gauge field), with which we show that the difficulty mentioned above can be avoided.…”

Section: Introductionmentioning

confidence: 99%

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False vacuum decay in gauge theory

Endo

Moroi

Nojiri

et al. 2017

J. High Energ. Phys.

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Abstract:The decay rate of a false vacuum is studied in gauge theory, paying particular attention to its gauge invariance. Although the decay rate should not depend on the gauge parameter ξ according to the Nielsen identity, the gauge invariance of the result of a perturbative calculation has not been clearly shown. We give a prescription to perform a one-loop calculation of the decay rate, with which a manifestly gauge-invariant expression of the decay rate is obtained. We also discuss the renormalization necessary to make the result finite, and show that the decay rate is independent of the gauge parameter even after the renormalization.

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State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in the Standard Model

2017

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The decay rate of the electroweak (EW) vacuum is calculated in the framework of the standard model (SM) of particle physics, using the recent progresses in the understanding of the decay rate of metastable vacuum in gauge theories. We give a manifestly gauge-invariant expression of the decay rate. We also perform a detailed numerical calculation of the decay rate. With the best-fit values of the SM parameters, we find that the decay rate of the EW vacuum per unit volume is about 10 −554 Gyr −1 Gpc −3 ; with the uncertainty in the top mass, the decay rate is estimated as 10Introduction: It is highly non-trivial whether the vacuum we are living in, which we call electroweak (EW) vacuum, is absolutely stable or not. If there exists a vacuum which has lower energy density than that of the EW vacuum, which is the case in a large class of particle-physics models, the EW vacuum decays via the quantum tunneling effect. If the decay rate is too large, the universe should have been experienced a phase transition before the present epoch, with which the universe would show completely different aspects than the present one. From the particle-physics and cosmology points of view, the stability of the EW vacuum is of particular interest to have deep insight into particle-physics models and the nature of the universe. Even in the standard model (SM) of particle physics, which is extremely successful to explain particle interactions, the EW vacuum may be metastable [1][2][3][4][5][6][7]. In particular, the discovery of the Higgs boson by the LHC experiments [8,9] shed light on the stability of the EW vacuum. The observed value of the Higgs mass suggests that the Higgs quartic coupling becomes negative via the renormalization group (RG) effects at energy scale much higher than the EW scale. This fact implies that the Higgs potential becomes negative and that the EW vacuum is not absolutely stable if the SM is valid up to a scale much higher than the EW scale.The decay rate of the EW vacuum has been estimated in the past, mostly using the method given in [10][11][12]. The decay rate of the metastable vacuum (i.e., false vacuum) per unit volume, which we call γ, is given in the following form:

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On the Gauge Invariance of the Decay Rate of False Vacuum

Cited by 4 publications

References 0 publications

Nucleation at finite temperature: a gauge-invariant, perturbative framework

Nucleation at finite temperature: a gauge-invariant, perturbative framework

False vacuum decay in gauge theory

State-of-the-Art Calculation of the Decay Rate of Electroweak Vacuum in the Standard Model

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