The phase-space structure of the Klein-Gordon field

Journal Article · Sun Aug 01 04:00:00 EDT 1993 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1006/aphy.1993.1055· OSTI ID:5948078

Best, C ^[1]; Gornicki, P ^[2]; Greiner, W ^[3]

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1. Johann Wolfgang Goethe-Universitaet, Main (Germany) Tel Aviv Univ. (Israel)
2. Max-Planck-Institut fuer Kernphysik, Heidelbert (Germany) Centrum Fizyki Teoretycznej, Warsaw (Poland)
3. Institut fuer Theoretische Physik, Johann Wolfgang Goethe-Universitaet, Main (Germany)

The formalism based on the equal-time Wigner function of the two-point correlation function for a quantized Klein-Gordon field is presented. The notion of the gauge-invariant Wigner transform is introduced and equations for the corresponding phase-space calculus are formulated. The equations of motion governing the Wigner function of the Klein-Gordon field are derived. It is shown they lead to a relativistic transport equation with electric and magnetic forces and quantum corrections. The governing equations are much simpler than in the fermionic case which has been treated earlier. In addition the newly developed formalism is applied towards the description of spontaneous symmetry breakdown. 14 refs., 1 fig.

• OSTI ID: 5948078
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 225:2; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
KLEIN-GORDON EQUATION
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SPACE
SPACE
SYMMETRY BREAKING
WAVE EQUATIONS
WIGNER THEORY