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|Title:||Quantum-mechanical stability of fermion-soliton systems|
|Publisher:||ELSEVIER SCIENCE BV|
|Citation:||PHYSICS LETTERS B, 596(1-2), 1-7|
|Abstract:||Topological objects resulting from symmetry breakdown may be either stable or metastable depending on the pattern of symmetry breaking. However, if they acquire zero-energy modes of fermions, and in the process acquire non-integer fermionic charge, the metastable configurations also get stabilized. In the case of Dirac fermions the spectrum of the number operator shifts by 1/2. In the case of Majorana fermions it becomes useful to assign negative values of fermion number to a finite number of states occupying the zero-energy level, constituting a Majorana pond. We determine the parities of these states and prove a superselection rule. Thus decay of objects with half-integer fermion number is not possible in isolation or by scattering with ordinary particles. The result has important bearing on cosmology as well as condensed matter physics. (C) 2004|
|Appears in Collections:||Article|
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