Exact solution for charged-particle propagation during a first-order electroweak phase transition with hypermagnetic fields

Journal Article · Wed Jun 01 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.113011· OSTI ID:20709442

Besprosvany, Jaime ^[1]; Ayala, Alejandro ^[2]

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1. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apartado Postal 20-364, Mexico Distrito Federal 01000 (Mexico)
2. Instituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico, Apartado Postal 70-543, Mexico Distrito Federal 04510 (Mexico)

We obtain the exact solution of the Klein-Gordon equation describing the propagation of a particle in two regions of different constant magnetic field, separated by an infinite plane wall. The continuity of the wave function and of its derivative at the interface is satisfied when including evanescent-wave terms. We analyze solutions on truncated spaces and compare them with previously obtained approximate solutions. The findings of this work have applications in the problem of the propagation of particles in the presence of a bubble wall in the midsts of an electroweak phase transition, where the two regions separated by the wall are influenced by different (hyper)magnetic-field strengths.

• OSTI ID: 20709442
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 11; Other Information: DOI: 10.1103/PhysRevD.71.113011; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARGED PARTICLES
COMPARATIVE EVALUATIONS
COSMOLOGY
EXACT SOLUTIONS
INTERFACES
KLEIN-GORDON EQUATION
MAGNETIC FIELDS
PHASE TRANSFORMATIONS
WAVE FUNCTIONS