Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-05-11
Phys.Rev.D80:045010,2009
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 10 figures; v2: ref added
Scientific paper
10.1103/PhysRevD.80.045010
We consider formation of composite strings and domain walls as a result of fusion of two elementary objects (elementary strings in the first case and elementary walls in the second) located at a distance from each other. The tension of the composite object T_2 is assumed to be less than twice the tension of the elementary object T_1, so that bound states are possible. If in the initial state the distance d between the fusing strings or walls is much larger than their thickness and satisfies the conditions T_1 d^2 >> 1 (in the string case) and T_1 d^3 >> 1 (in the wall case), the problem can be fully solved quasiclassically. The fusion probability is determined by the first, "under the barrier" stage of the process. We find the bounce configuration and its extremal action S_B. In the wall problem e^{-S_B} gives the fusion probability per unit time per unit area. In the string case, due to a logarithmic infrared divergence, the problem is well formulated only for finite-length strings. The fusion probability per unit time can be found in the limit in which the string length is much larger than the distance between two merging strings.
Bolognesi Stefano
Shifman Michael
Voloshin Mikhail B.
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