Induced quantum numbers in (2+1)-dimensional QED | Zendy

R. Blankenbecler | Zendy; D. Boyanovsky | Zendy

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Induced quantum numbers in (2+1)-dimensional QED

Author(s) -

R. Blankenbecler,

D. Boyanovsky

Publication year - 1986

Publication title -

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Language(s) - English

Resource type - Journals

eISSN - 1089-4918

pISSN - 0556-2821

DOI - 10.1103/physrevd.34.612

Subject(s) - physics , fermion , angular momentum , gauge theory , spin (aerodynamics) , quantum number , quantum field theory , quantum mechanics , quantum electrodynamics , thermodynamics

In this paper the vacuum-polarization effects of fermions interacting with Abelian gauge fields are studied in 2+1 dimensions. We find that for a gauge-field configuration with magnetic flux 2..pi..F, there is an induced charge Q, spin S, and angular momentum J given by Q = -1/2(m/absolute value of m)F, S = F-italic/4, J = -(1/4)(m/absolute value of m)F/sup 2/ (m = fermion mass). A simple argument is offered to explain the physics of these quantum numbers. Some subtleties associated with the induced spin and angular momentum are explained in detail. The induced spin is shown to be related to the (1+1)-dimensional chiral anomaly.

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