Mass-induced transition in fermion number

Journal Article · Mon May 15 00:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.3066· OSTI ID:6196039

Aragao de Carvalho, C; Pureza, J M

We show that if we increase the mass of fermions in interaction with a topological (kink) scalar background in 1+1 dimensions, the fractional fermion number of the system will eventually vanish. The transition is sharp and corresponds to the disappearance of localized states from the spectrum of a Dirac operator which is exactly solvable. Possible applications to different physical systems are discussed.

• Research Organization: Departamento de Fisica, Pontificia Universidade Catolica do Rio de Janeiro, C.P. 38071, 22453 Rio de Janeiro, Rio de Janeiro, Brasil(BR); Faculdade de Engenharia de Joinville, Campus Universitario, C.P. D-001, CEP 89200, Santa Catarina, Brasil
• OSTI ID: 6196039
• Journal Information: Phys. Rev. D; (United States), Vol. 39:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMI GAS
TOPOLOGY
DIRAC OPERATORS
LEPTON NUMBER
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
FIELD THEORIES
FLUIDS
GASES
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTUM OPERATORS
645400* - High Energy Physics- Field Theory