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BOUNCE AND INSTANTON SOLUTIONS WITH O(4) SYMMETRY IN CURVED SPACE
Preview AbstractWe study bounce solutions in asymmetric double-well potential and instanton solutions in symmetric double-well potential. These solutions have O(4) symmetry in Euclidean space. Instanton solutions in our system are possible only if gravity is taken into account. From the analysis of the instanton solutions, we propose a new formation mechanism of the dynamical geometry which has the finite size with the exact Z2 symmetry. This article is prepared for the proceedings of 1st Galileo–Xu Guangqi Meeting in Shanghai, China, 26–30 Oct 2009.
THE FALSE VACUUM BUBBLE, THE TRUE VACUUM BUBBLE, AND THE INSTANTON SOLUTION IN CURVED SPACE
Preview AbstractWe study the nucleation of vacuum bubbles. The possible types of the bubbles consists of the true, the false vacuum bubble, and the instanton solutions in curved spacetime. The process of the bubble nucleation as well as instanton solutions may mimic Wheeler’s spacetime foam structure in the very early universe.