scholarly journals Pseudo-bounces vs. new instantons

2021 ◽  
Vol 2021 (12) ◽  
pp. 029
Author(s):  
J.R. Espinosa ◽  
J. Huertas
Keyword(s):  
Decay Rate ◽  
Scale Invariance ◽  
Scale Breaking ◽  
The One

Abstract Some false vacua do not decay via bounces. This usually happens when a flat direction of the tunneling action due to scale invariance is lifted to a sloping valley by a scale breaking perturbation, pushing the bounce off to infinity. We compare two types of alternative decay configurations that have been proposed recently to describe decay in such cases: pseudo-bounces and new instantons. Although both field configurations are quite similar, we find that the pseudo-bounce action is lower than the new instanton one and describes more faithfully the bottom of the action valley. In addition, pseudo-bounces cover a range of field space wider than new instantons and, as a result, lead to a decay rate that can be lower than the one via new instantons by orders of magnitude.

SOLVING THE TWO-DIMENSIONAL INVERSE FRACTAL PROBLEM WITH THE WAVELET TRANSFORM

Fractals ◽  
1996 ◽  
Vol 04 (04) ◽  
pp. 469-475 ◽  
Author(s):  
ZBIGNIEW R. STRUZIK
Keyword(s):  
Wavelet Transform ◽  
Scale Invariance ◽  
Wavelet Decomposition ◽  
Two Dimensions ◽  
The Self ◽  
Continuous Wavelet ◽  
Two Dimensional ◽  
One Dimensional ◽  
Affine Functions ◽  
The One

The methodology of the solution to the inverse fractal problem with the wavelet transform1,2 is extended to two-dimensional self-affine functions. Similar to the one-dimensional case, the two-dimensional wavelet maxima bifurcation representation used is derived from the continuous wavelet decomposition. It possesses translational and scale invariance necessary to reveal the invariance of the self-affine fractal. As many fractals are naturally defined on two-dimensions, this extension constitutes an important step towards solving the related inverse fractal problem for a variety of fractal types.

DIRAC'S COSMOLOGY AND RADIOACTIVE DATING

1963 ◽  
Vol 41 (11) ◽  
pp. 1911-1923 ◽  
Author(s):  
E. R. Kanasewich ◽  
J. C. Savage
Keyword(s):  
Decay Rate ◽  
Decay Constant ◽  
The Other ◽  
Large Uncertainty ◽  
Β Decay ◽  
Α Decay ◽  
Age Of The Universe ◽  
The One ◽  
The Universe

It has long been recognized that Dirac's principle might imply that the rate of β decay would vary with the age of the universe. If so, the radioactive ages of meteorites and terrestrial rocks as indicated on the one hand by α decay and on the other by β decay should differ. However, the comparison of these ages is complicated by a large uncertainty in the decay constant for Rb87. Thus the age data must be analyzed to determine the decay constant most compatible with the particular theory of β decay which is used. Using this best decay constant for each theory, we find that the data are more consistent with a β decay rate independent of the age of the universe than with the dependence implied by the Dirac principle.

Calculation of the one-photon decay rate of the polyelectronP++−

1986 ◽  
Vol 33 (6) ◽  
pp. 2222-2223 ◽  
Author(s):  
M.-C. Chu ◽  
V. Pönisch
Keyword(s):  
Decay Rate ◽  
Photon Decay ◽  
The One

scholarly journals Optimal Polynomial Decay to Coupled Wave Equations and Its Numerical Properties

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
R. F. C. Lobato ◽  
S. M. S. Cordeiro ◽  
M. L. Santos ◽  
D. S. Almeida Júnior
Keyword(s):  
Decay Rate ◽  
Spectral Methods ◽  
Finite Differences ◽  
Wave Equations ◽  
Coupled System ◽  
Polynomial Decay ◽  
One Dimensional ◽  
Coupled Wave Equations ◽  
Optimal Polynomial ◽  
The One

In this work we consider a coupled system of two weakly dissipative wave equations. We show that the solution of this system decays polynomially and the decay rate is optimal. Computational experiments are conducted in the one-dimensional case in order to show that the energies properties are preserved. In particular, we use finite differences and also spectral methods.

scholarly journals Precise calculation of the decay rate of false vacuum with multi-field bounce

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
So Chigusa ◽  
Takeo Moroi ◽  
Yutaro Shoji
Keyword(s):  
Decay Rate ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Gauge Parameter ◽  
False Vacuum ◽  
Vacuum Decay ◽  
Loop Contribution ◽  
Zero Modes ◽  
Precise Calculation ◽  
The One

Abstract We study the decay rate of a false vacuum in gauge theory at the one-loop level. We pay particular attention to the case where the bounce consists of an arbitrary number of scalar fields. With a multi-field bounce, which has a curved trajectory in the field space, the mixing among the gauge fields and the scalar fields evolves along the path of the bounce in the field space and the one-loop calculation of the vacuum decay rate becomes complicated. We consider the one-loop contribution to the decay rate with an arbitrary choice of the gauge parameter, and obtain a gauge invariant expression of the vacuum decay rate. We also give proper treatments of gauge zero modes and renormalization.

LEADING TOP MASS CORRECTIONS OF ORDER ${\mathcal O} (\alpha \alpha_s m_t^2 /M_W^2)$ TO THE PARTIAL DECAY RATE $\Gamma (Z\to b\bar b)$

1993 ◽  
Vol 08 (29) ◽  
pp. 2785-2791 ◽  
Author(s):  
K. G. CHETYRKIN ◽  
A. KWIATKOWSKI ◽  
M. STEINHAUSER
Keyword(s):  
Decay Rate ◽  
Absorptive Part ◽  
Self Energy ◽  
The One ◽  
Mass Expansion ◽  
Top Mass

The order [Formula: see text] corrections to the partial decay rate of [Formula: see text] are computed using the heavy top mass expansion. They are given by the absorptive part of the corresponding three-loop Z self-energy diagrams. Our method provides an independent way to calculate the QCD corrections to the electroweak one-loop result for [Formula: see text] and our result represents another confirmation of the one recently published by Fleischer et al.

scholarly journals ONE-LOOP CALCULATION OF COSMOLOGICAL CONSTANT IN A SCALE INVARIANT THEORY

2009 ◽  
Vol 24 (26) ◽  
pp. 2069-2079 ◽  
Author(s):  
PANKAJ JAIN ◽  
SUBHADIP MITRA
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Invariant Theory ◽  
Scale Invariance ◽  
Constant Term ◽  
Scale Invariant ◽  
Gravitational Action ◽  
The One

We compute the cosmological constant in a scale invariant scalar field theory. The gravitational action is also suitably modified to respect scale invariance. Due to scale invariance, the theory does not admit a cosmological constant term. The scale invariance is broken by a recently introduced mechanism called cosmological symmetry breaking. This leads to a nonzero cosmological constant. We compute the one-loop corrections to the cosmological constant and show that it is finite.

The asymptotic behavior of the Bresse–Cattaneo system

2016 ◽  
Vol 18 (04) ◽  
pp. 1550045 ◽  
Author(s):  
Belkacem Said-Houari ◽  
Taklit Hamadouche
Keyword(s):  
Heat Conduction ◽  
Differential Equations ◽  
Decay Rate ◽  
Stability Number ◽  
Timoshenko System ◽  
Decay Properties ◽  
Bresse System ◽  
Whole Space ◽  
The Stability ◽  
The One

In this paper, we investigate the decay properties of the Bresse–Cattaneo system in the whole space. We show that the coupling of the Bresse system with the heat conduction of the Cattaneo theory leads to a loss of regularity of the solution and we prove that the decay rate of the solution is very slow. In fact, we show that the [Formula: see text]-norm of the solution decays with the rate of [Formula: see text]. The behavior of solutions depends on a certain number [Formula: see text] (which is the same stability number for the Timoshenko–Cattaneo system [Damping by heat conduction in the Timoshenko system: Fourier and Cattaneo are the same, J. Differential Equations 255(4) (2013) 611–632; The stability number of the Timoshenko system with second sound, J. Differential Equations 253(9) (2012) 2715–2733]) which is a function of the parameters of the system. In addition, we show that we obtain the same decay rate as the one of the solution for the Bresse–Fourier model [The Bresse system in thermoelasticity, to appear in Math. Methods Appl. Sci.].

scholarly journals The radion as a dark matter candidate

2018 ◽  
Vol 33 (24) ◽  
pp. 1850144
Author(s):  
Fayez Abu-Ajamieh
Keyword(s):  
Dark Matter ◽  
Scale Invariance ◽  
Spontaneous Breaking ◽  
Newtonian Gravity ◽  
Dark Matter Candidate ◽  
The Future ◽  
Scale Breaking ◽  
Age Of The Universe ◽  
Relic Abundance ◽  
The Universe

I study a class of Randall–Sundrum (RS) models with Spontaneous Breaking of Scale Invariance (SBSI). This class of models implements the Contino–Pomarol–Rattazzi (CPR) mechanism to achieve SBSI through the small running of an external close-to-marginal scale-breaking operator that leads to a light dilaton/radion with couplings to matter suppressed by the small running. I show that for radion masses [Formula: see text] KeV, it can serve as a dark matter (DM) candidate, with a lifetime longer than the age of the universe, and show that the experimental bounds from LHC, non-Newtonian gravity and Axion-Like Particle (ALP) searches allow for the existence of such a radion. In spite of the small relic abundance of the light radion produced in this model, we show that it could be possible to obtain the required abundance through additional assumptions, an issue we postpone to the future.

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