Occurrence of semiclassical vacuum decay

Wang, Shao-Jiang

doi:10.1103/physrevd.100.096019

Cited by 5 publications

(1 citation statement)

References 27 publications

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“…Although the gravitational corrections to Higgs decay from EW vacuum are negligible [47][48][49][50][51][52][53], the catalyzed vacuum decay by black holes [54][55][56][57][58][59][60][61][62] (see [63,64] for its thermal interpretation and [65] for its thermal extension) or other compact objects [66], braneworld [67][68][69], cosmic string [70][71][72] and naked singularity [73] should be of special concern. Similar consideration of excited initial states at false vacuum [74] could also affect the decay rate, even possibly in real-time [75][76][77][78][79][80].…”

Section: Introductionmentioning

confidence: 99%

Higgs chameleon

Cai

Wang

2021

Phys. Rev. D

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The existing constraints from particle colliders reveal a suspicious but nonlethal meta-stability for our current electroweak vacuum of Higgs potential in the standard model of particle physics, which is, however, disfavored in the early Universe if the inflationary Hubble scale is larger than the instability scale when Higgs quartic self-coupling runs into negative value. Alternative to previous trials of acquiring a positive effective mass-squared from Higgs quadratic couplings to Ricci scalar or inflaton field, we propose a third approach to stabilize the Higgs potential in the early Universe by regarding Higgs as chameleon coupled to inflaton alone without conflicting to the present constraints on either Higgs or chameleon.

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Section: Introductionmentioning

confidence: 99%

Higgs chameleon

Cai

Wang

2021

Phys. Rev. D

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Quantitative analysis of the stochastic approach to quantum tunneling

2020

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Recently there has been increasing interest in alternate methods to compute quantum tunneling in field theory. Of particular interest is a stochastic approach which involves (i) sampling from the free theory Gaussian approximation to the Wigner distribution in order to obtain stochastic initial conditions for the field and momentum conjugate and then (ii) evolving under the classical field equations of motion, which leads to random bubble formation. Previous work showed parametric agreement between the logarithm of the tunneling rate in this stochastic approach and the usual instanton approximation. However, recent work [J. Braden et al., Phys. Rev. Lett. 123, 031601 (2019)] claimed excellent agreement between these methods. Here we show that this approach does not in fact match precisely; the stochastic method tends to overpredict the instanton tunneling rate. To quantify this, we parameterize the standard deviations in the initial stochastic fluctuations by εσ, where σ is the actual standard deviation of the Gaussian distribution and ε is a fudge factor; ε ¼ 1 is the physical value. We numerically implement the stochastic approach to obtain the bubble formation rate for a range of potentials in 1 þ 1 dimensions, finding that ε always needs to be somewhat smaller than unity to suppress the otherwise much larger stochastic rates toward the instanton rates; for example, in the potential of Braden et al., one needs ε ≈ 1=2. We find that a mismatch in predictions also occurs when sampling from other Wigner distributions and in single-particle quantum mechanics even when the initial quantum system is prepared in an exact Gaussian state. If the goal is to obtain agreement between the two methods, our results show that the stochastic approach would be useful if a prescription to specify optimal fudge factors for fluctuations can be developed.

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Populating the landscape in an inhomogeneous universe

Lin

Piao

2022

Phys. Rev. D

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Occurrence of semiclassical vacuum decay

Cited by 5 publications

References 27 publications

Higgs chameleon

Higgs chameleon

Quantitative analysis of the stochastic approach to quantum tunneling

Populating the landscape in an inhomogeneous universe

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