Galilean-invariant gauge theory

Journal Article · Fri Feb 15 04:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.848· OSTI ID:5920235

Hagen, C R

It is generally characteristic of a field theory with a zero-mass particle that it does not possess a nontrivial Galilean limit. Since all the well-known gauge theories require (at least in the free-field limit) such massless excitations, there are no known examples at this time of Galilean-invariant gauge field theories. However, by making use of a recently formulated gauge theory in two spatial dimensions in which there is no elementary photon, it is shown that there does exist a Galilean theory which incorporates the gauge principle. The general N-particle state for this theory is constructed and subsequently used to obtain the corresponding N-particle Schroedinger equation. In the case of two particles the scattering process is considered explicitly, it is being shown that for all partial waves one obtains the same nonzero phase shift.

• Research Organization: Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627
• OSTI ID: 5920235
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LORENTZ INVARIANCE
MANY-BODY PROBLEM
MASSLESS PARTICLES
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
PHOTONS
SCATTERING
SCHROEDINGER EQUATION
SELECTION RULES
SUPERSELECTION RULES
WAVE EQUATIONS
WAVE FUNCTIONS