133 citations · 1.2k across the 73 of their papers we have counts for
73 papers
Instantons: thick-wall approximation
V. F. Mukhanov, A. S. Sorin
We develop a new method for estimating the decay probability of the false vacuum via regularized instantons. Namely, we consider the case where the potential is either unbounded fr…
About the Coleman Instantons in D Dimensions
Viatcheslav Mukhanov, Alexander Sorin
We identify an infinite class of unbounded potentials for which the Coleman instantons do not exist in D-dimensional spacetime. For such potentials, the decay of a false vacuum is…
Instantons with Quantum Core
Viatcheslav Mukhanov, Alexander Sorin
We consider new instantons that appear as a result of accounting for quantum fluctuations. These fluctuations naturally regularize the O(4) singular solutions abandoned in Coleman'…
Quantum Fluctuations and New Instantons I: Linear Unbounded Potential
Viatcheslav Mukhanov, Eliezer Rabinovici, Alexander Sorin
We consider the decay of a false vacuum in circumstances where the methods suggested by Coleman run into difficulties. We find that in these cases quantum fluctuations play a cruci…
Quantum Fluctuations and New Instantons II: Quartic Unbounded Potential
Viatcheslav Mukhanov, Eliezer Rabinovici, Alexander Sorin
We study the fate of a false vacuum in the case of a potential that contains a portion which is quartic and unbounded. We first prove that an invariant instanton with the Co…
The Full Symmetric Toda Flow and Intersections of Bruhat Cells
Yuri B. Chernyakov, Georgy I. Sharygin, Alexander S. Sorin +1
In this short note we show that the Bruhat cells in real normal forms of semisimple Lie algebras enjoy the same property as their complex analogs: for any two elements , in…