Quantization of Galilean gauge theories

Journal Article · Thu Nov 15 04:00:00 EST 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.30.2148· OSTI ID:6258582

Palumbo, F

Galilean gauge theories are quantized according to Dirac's theory of canonical quantization of constrained systems. Only the zero-momentum term in the Fourier expansion of the gauge fields is compatible with the constraints, and it is different from zero for periodic boundary conditions, while it is zero if the fields are required to vanish on the surface of the quantization box. Such a term has physical effects which therefore depend on boundary conditions. The effect of the zero-momentum term of the electric potential is to forbid charged states. This constraint holds both in the Abelian and non-Abelian case and it is true also in the relativistic theory. The zero-momentum term of the magnetic potential in the Abelian case gives rise to only radiative corrections (which are the c..-->..infinity limit of the relativistic ones), while in the non-Abelian case it also affects the matter-field interaction.

• Research Organization: Istituto Nazionale di Fisica Nucleare-Laboratori Nazionali di Frascati, P.O. Box 13, 00044-Frascati, Italy
• OSTI ID: 6258582
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 30:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CHIRAL SYMMETRY
CORRECTIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRODYNAMICS
EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RADIATIVE CORRECTIONS
RELATIVITY THEORY
SYMMETRY
WAVE EQUATIONS