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The strong couplings in a space with torsion
ANNALS
OF PHYSICS:
17:
Abstracts
176
(1962)
of Papers
to Appear
in Future
Issues
The
Strong Couplings in a Space with Torsion. R. FINKELSTEIN AND W. RAJTSAY A generally covariant field theory, characterized by an asymmetric metric, an asym metric connection, and an arbitrary gauge group is investigated as a possible formal basis for the experimentally observed strong couplings. Transposition invariance is put into correspondence with TCP invariance. The parts of the connection irreducible under both coordinate and gauge groups are identified with the independent boson fields. Representations of the strong and electromagnetic couplings of the baryon-meson system are found, subject however to the same dynamical uncertainties as global and unitary symmetry. In the simplest version the pion and kaon fields correspond to the Hermitian torsion, while the vector bosons, including the photon, correspond to the anti-Hermitian torsion. .-I Variational
Description
of Transport
Phenomena
BERNSTEIN It has been
in a Plasma.
B. B. ROBIXSON
AND
1. B.
known for some time that, when no magnetic field is present, transport coefficients have an estremal nature. In this paper, it is shown that transport coefficients in the presence of a magnetic field or an alternating electric field also exhibit, an estremal property. A minimas (saddle point) principle is obtained which is used to solve the first order ChapmanEnskog transport equation with a Fokker-Planck collision term for a fully ionized gas. The thermo-electric coefficients and the viscosity when an arbitrary magnetic field is present, and the A. C. conductivity for the case of no magnetic field are evaluated for a singly ionized two component gas to well within the accuracy justified by the basic equations (-loo/k). It is emphasized that this variational formalism rests upon two simple general properties of the collision integral, and hence is capable of considerably wider application than the particular example offered in the present, paper. The physical significance of the variational principles is briefly discussed, and they are related to the rate of entropy production and amount of entropy stored in the system.
176
OF PHYSICS:
17:
Abstracts
176
(1962)
of Papers
to Appear
in Future
Issues
The
Strong Couplings in a Space with Torsion. R. FINKELSTEIN AND W. RAJTSAY A generally covariant field theory, characterized by an asymmetric metric, an asym metric connection, and an arbitrary gauge group is investigated as a possible formal basis for the experimentally observed strong couplings. Transposition invariance is put into correspondence with TCP invariance. The parts of the connection irreducible under both coordinate and gauge groups are identified with the independent boson fields. Representations of the strong and electromagnetic couplings of the baryon-meson system are found, subject however to the same dynamical uncertainties as global and unitary symmetry. In the simplest version the pion and kaon fields correspond to the Hermitian torsion, while the vector bosons, including the photon, correspond to the anti-Hermitian torsion. .-I Variational
Description
of Transport
Phenomena
BERNSTEIN It has been
in a Plasma.
B. B. ROBIXSON
AND
1. B.
known for some time that, when no magnetic field is present, transport coefficients have an estremal nature. In this paper, it is shown that transport coefficients in the presence of a magnetic field or an alternating electric field also exhibit, an estremal property. A minimas (saddle point) principle is obtained which is used to solve the first order ChapmanEnskog transport equation with a Fokker-Planck collision term for a fully ionized gas. The thermo-electric coefficients and the viscosity when an arbitrary magnetic field is present, and the A. C. conductivity for the case of no magnetic field are evaluated for a singly ionized two component gas to well within the accuracy justified by the basic equations (-loo/k). It is emphasized that this variational formalism rests upon two simple general properties of the collision integral, and hence is capable of considerably wider application than the particular example offered in the present, paper. The physical significance of the variational principles is briefly discussed, and they are related to the rate of entropy production and amount of entropy stored in the system.
176