The Strategy of World Order

Linde, Hans A.; Falk, Richard A.; Mendlovitz, Saul H.

doi:10.2307/1227444

Cited by 5 publications

(9 citation statements)

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“…Also, one must be very careful with factors of π and 2. A more detailed investigation based on the stochastic approach to tunneling gives the estimate for the amplitude of relevant fluctuations < φ 2 >∼ mT π 2 [25]. Combining this estimate with our results for the mass m, i.e.…”

supporting

confidence: 71%

Comments on the electroweak phase transition

et al. 1992

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supporting

confidence: 71%

Comments on the electroweak phase transition

et al. 1992

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“…An earlier version of this paper incorrectly claimed that Duff's calculation solved the empty universe problem. Bousso and Linde (private communication, [7]) pointed out that the action we computed for the four form field was not proportional to the geometric entropy. This prompted us to reconsider the calculation, and when we did so we discovered an error.…”

Section: Introductionmentioning

confidence: 79%

“…Several subsequent papers have appeared, making various criticisms of these instantons, and of our interpretation of them. Linde [7] has made general arguments against the Hartle-Hawking prescription, to which we have replied in [8]. Vilenkin [9] argues that singular instantons must be forbidden or else they would lead to an instability of Minkowski space.…”

Section: Introductionmentioning

confidence: 99%

Open inflation, the four form and the cosmological constant

Turok¹,

Hawking²

1998

Physics Letters B

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Fundamental theories of quantum gravity such as supergravity include a four form field strength which contributes to the cosmological constant. The inclusion of such a field into our theory of open inflation [1] allows an anthropic solution to the cosmological constant problem in which cosmological constant gives a small but non-negligible contribution to the density of today's universe. We include a discussion of the role of the singularity in our solution and a reply to Vilenkin's recent criticism. *

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“…In order to make the arguments of Ref. [28,29] more quantitative and to outline the domain of their validity, it is helpful to review the stochastic approach to tunneling (see [37] and references therein). This approach is not as precise as the euclidean approach (in theories where the euclidean approach is applicable).…”

Section: Subcritical Bubblesmentioning

confidence: 99%

Towards the theory of the electroweak phase transition

et al. 1992

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We investigate various problems related to the theory of the electroweak phase transition. This includes determination of the nature of the phase transition, discussion of the possible role of the higher-order radiative corrections, and the theory of the formation and evolution of bubbles of the new phase. We show, in particular, that no dangerous linear terms in the scalar field 4 appear in the expression for the effective potential. We have found that, for the Higgs-boson mass smaller than the masses of W and Z bosons, the phase transition is of the first order. However, its strength is approximately times less than what follows from the one-loop approximation. The phase transition occurs due to production and expansion of critical bubbles. Subcritical bubbles may be important only if the phase transition is very weakly first order. A general analytic expression for the probability of the bubble formation is obtained, which may be used for study of tunneling in a wide class of theories. The bubble-wall velocity depends on many factors, including the ratio of the mean free path of the particles to the thickness of the wall. Thin walls in the electroweak theory have a nonrelativistic velocity, whereas thick walls may be relativistic. A decrease of the cubic term by the factor rules out baryogenesis in the minimal version of the electroweak theory. Even though we concentrate in this paper on the phase transition in this theory, most of our results can be applied to more general models as well, where baryogenesis is possible. PACS number(s): 98.80.Cq, 12.15.Ji

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The Strategy of World Order

Cited by 5 publications

References 0 publications

Comments on the electroweak phase transition

Comments on the electroweak phase transition

Open inflation, the four form and the cosmological constant

Towards the theory of the electroweak phase transition

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