- 13-72 Valeriy V. Dvoeglazov
- Notoph-Graviton-Photon Coupling
Aug 21, 13
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Abstract. In the sixties Ogievetskii and Polubarinov proposed
the concept of a notoph, whose helicity
properties are complementary to those of a photon.
Later, Kalb and Ramond (and others) developed
this theoretical concept. And, at the present times it is widely accepted.
We analyze the quantum theory of antisymmetric tensor fields
with taking into account mass dimensions of notoph and photon.
It appears to be possible to describe both photon and
notoph degrees of freedom on the basis of
the modified Bargmann-Wigner formalism for the symmetric
Next, we proceed to derive equations for the symmetric tensor
of the second rank on the basis of the Bargmann-Wigner formalism
in a straightforward way. The symmetric multispinor of the fourth
rank is used. It is constructed out of the Dirac 4-spinors.
Due to serious problems with the interpretation of
the results obtained on using the standard procedure we generalize
it and obtain the spin-2 relativistic equations, which are consistent
with the general relativity. The importance of the 4-vector field (and its gauge part)
is pointed out.
Thus, we present the full theory which contains photon, notoph (the Kalb-Ramond field)
and the graviton. The relations of this theory with the higher spin theories
are established. In fact, we deduced the gravitational field equations from
relativistic quantum mechanics.
%The relations of this theory with scalar-tensor theories
%of gravitation and f(R) are discussed.
We estimate possible interactions, fermion-notoph,
%, and conclude that they will be probably seen
%in experiments in the next few years.
PACS number: 03.65.Pm , 04.50.-h , 11.30.Cp