scholarly journals Derivative expansion and gauge independence of the false vacuum decay rate in various gauges

2001 ◽  
Vol 63 (8) ◽  
Author(s):  
D. Metaxas
Keyword(s):  
Decay Rate ◽  
False Vacuum ◽  
Derivative Expansion ◽  
Vacuum Decay

scholarly journals Exact one-loop false vacuum decay rate

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Victor Guada ◽  
Miha Nemevšek
Keyword(s):  
Decay Rate ◽  
False Vacuum ◽  
Vacuum Decay

scholarly journals On catalyzed vacuum decay around a radiating black hole and the crisis of the electroweak vacuum

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Takumi Hayashi ◽  
Kohei Kamada ◽  
Naritaka Oshita ◽  
Jun’ichi Yokoyama
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Standard Model ◽  
Decay Rate ◽  
Early Universe ◽  
Hawking Radiation ◽  
False Vacuum ◽  
Vacuum Decay ◽  
Higgs Vacuum ◽  
The Standard Model

Abstract False vacuum decay is a key feature in quantum field theories and exhibits a distinct signature in the early Universe cosmology. It has recently been suggested that the false vacuum decay is catalyzed by a black hole (BH), which might cause the catastrophe of the Standard Model Higgs vacuum if primordial BHs are formed in the early Universe. We investigate vacuum phase transition of a scalar field around a radiating BH with taking into account the effect of Hawking radiation. We find that the vacuum decay rate slightly decreases in the presence of the thermal effect since the scalar potential is stabilized near the horizon. However, the stabilization effect becomes weak at the points sufficiently far from the horizon. Consequently, we find that the decay rate is not significantly changed unless the effective coupling constant of the scalar field to the radiation is extremely large. This implies that the change of the potential from the Hawking radiation does not help prevent the Standard Model Higgs vacuum decay catalyzed by a BH.

scholarly journals Black hole induced false vacuum decay from first principles

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Andrey Shkerin ◽  
Sergey Sibiryakov
Keyword(s):  
Black Hole ◽  
Decay Rate ◽  
First Principles ◽  
Two Dimensional ◽  
False Vacuum ◽  
Dimensional Model ◽  
Vacuum Decay ◽  
Four Dimensions ◽  
Dilaton Black Hole ◽  
Black Hole Temperature

Abstract We provide a method to calculate the rate of false vacuum decay induced by a black hole. The method uses complex tunneling solutions and consistently takes into account the structure of different quantum vacua in the black hole metric via boundary conditions. The latter are connected to the asymptotic behavior of the time-ordered Green’s function in the corresponding vacua. We illustrate the technique on a two-dimensional toy model of a scalar field with inverted Liouville potential in an external background of a dilaton black hole. We analytically derive the exponential suppression of tunneling from the Boulware, Hartle-Hawking and Unruh vacua and show that they are parametrically different. The Unruh vacuum decay rate is exponentially smaller than the decay rate of the Hartle-Hawking state, though both rates become unsuppressed at high enough black hole temperature. We interpret the vanishing suppression of the Unruh vacuum decay at high temperature as an artifact of the two-dimensional model and discuss why this result can be modified in the realistic case of black holes in four dimensions.

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.

scholarly journals False vacuum decay in quantum mechanics and four dimensional scalar field theory

2018 ◽  
Vol 177 ◽  
pp. 09001 ◽  
Author(s):  
Maxim Bezuglov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Green Function ◽  
Decay Rate ◽  
Radiative Corrections ◽  
Thin Wall ◽  
Quantum Field ◽  
False Vacuum ◽  
Vacuum Decay

When the Higgs boson was discovered in 2012 it was realized that electroweak vacuum may suffer a possible metastability on the Planck scale and can eventually decay. To understand this problem it is important to have reliable predictions for the vacuum decay rate within the framework of quantum field theory. For now, it can only be done at one loop level, which is apparently is not enough. The aim of this work is to develop a technique for the calculation of two and higher order radiative corrections to the false vacuum decay rate in the framework of four dimensional scalar quantum field theory and then apply it to the case of the Standard Model. To achieve this goal, we first start from the case of d=1 dimensional QFT i.e. quantum mechanics. We show that for some potentials two and three loop corrections can be very important and must be taken into account. Next, we use quantum mechanical example as a template for the general d=4 dimensional theory. In it we are concentrating on the calculations of bounce solution and corresponding Green function in so called thin wall approximation. The obtained Green function is then used as a main ingredient for the calculation of two loop radiative corrections to the false vacuum decay rate.

O(3)-invariant tunnelling at false vacuum decay in general relativity

1991 ◽  
Vol T36 ◽  
pp. 269-275 ◽  
Author(s):  
V A Berezin ◽  
V A Kuzmin ◽  
I I Tkachev
Keyword(s):  
General Relativity ◽  
False Vacuum ◽  
Vacuum Decay
Sign in / Sign up

Export Citation Format

Share Document