Wigner trajectory characteristics in phase space and field theory

Curtright, Thomas; Zachos, Cosmas K.

doi:10.1088/0305-4470/32/5/009

Wigner trajectory characteristics in phase space and field theory

Thomas Curtright
(
- Miami U.
)
,
Cosmas K. Zachos
(
- Argonne
)

Oct, 1998

9 pages

Published in:

J.Phys.A 32 (1999) 771-779

e-Print:

hep-th/9810164 [hep-th]

DOI:

10.1088/0305-4470/32/5/009

Report number:

MIAMI-TH-1-98,
ANL-HEP-PR-98-132

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Abstract:

Exact characteristic trajectories are specified for the time-propagating Wigner phase-space distribution function. They are especially simple---indeed, classical---for the quantized simple harmonic oscillator, which serves as the underpinning of the field theoretic Wigner functional formulation introduced. Scalar field theory is thus reformulated in terms of distributions in field phase space. Applications to duality transformations in field theory are discussed.

Note:

9 pages, LaTex2e Report-no: ANL-HEP-PR-98-132, Miami TH/1/98 Subj-class: High Energy Physics - Theory; Atomic Physics

quantum mechanics
field theory
phase space: Hilbert space
Hamiltonian formalism
ground state
energy
regularization: zeta function
duality: transformation

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