Theory of Antisymmetric Tensor Fields

Valeri DVOEGLAZOV

Makale detayları

Theory of Antisymmetric Tensor Fields

Yazarlar:

Valeri DVOEGLAZOV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2003 Vol.27 Issue 1, pp.35-50

Belge Tipi:

Makale

Yayın Tarihi:

12/2002

Belge Dili:

Türkçe

Document ID (Org No.):

2000762018

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

It has long been claimed that the antisymmetric tensor field  of the second rank is pure longitudinal after quantization.  In my  opinion, such a situation is quite unacceptable.  I repeat the  well-known procedure of the derivation of the set of Proca equations.   It is shown that it can be written in various forms.  Furthermore, on  the basis of the Lagrangian formalism I calculate dynamical invariants  (including the Pauli-Lubanski vector of relativistic spin for this  field).  Even on the classical level, the Pauli-Lubanski vector can be  equal to zero after applications of well-known constraints.  The  importance of the normalization is pointed out for the problem of the  description of quantized fields of maximal spin 1.  The correct  quantization procedure permits us to propose a solution to this puzzle  in modern field theory.  Finally, the discussion of the connection of  the Ogievetski\u{\i}-Polubarinov-Kalb-Ramond field and the  electrodynamic gauge is presented.  PACS: 03.50.-z, 03.50.De, 03.65.Pm, 11.10.-z, 11.10.Ef.

 

It has long been claimed that the antisymmetric tensor field  of the second rank is pure longitudinal after quantization.  In my  opinion, such a situation is quite unacceptable.  I repeat the  well-known procedure of the derivation of the set of Proca equations.   It is shown that it can be written in various forms.  Furthermore, on  the basis of the Lagrangian formalism I calculate dynamical invariants  (including the Pauli-Lubanski vector of relativistic spin for this  field).  Even on the classical level, the Pauli-Lubanski vector can be  equal to zero after applications of well-known constraints.  The  importance of the normalization is pointed out for the problem of the  description of quantized fields of maximal spin 1.  The correct  quantization procedure permits us to propose a solution to this puzzle  in modern field theory.  Finally, the discussion of the connection of  the Ogievetski\u{\i}-Polubarinov-Kalb-Ramond field and the  electrodynamic gauge is presented.  PACS: 03.50.-z, 03.50.De, 03.65.Pm, 11.10.-z, 11.10.Ef.

Makale detayları

Theory of Antisymmetric Tensor Fields

Yazarlar:

Valeri DVOEGLAZOV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2003 Vol.27 Issue 1, pp.35-50

Belge Tipi:

Makale

Yayın Tarihi:

12/2002

Belge Dili:

Türkçe

Document ID (Org No.):

2000762018

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Lorentz group

Non-transverse fields

Helicity

Sayı

Makale detayları

Theory of Antisymmetric Tensor Fields

Yazarlar: Valeri DVOEGLAZOV

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 2003 Vol.27 Issue 1, pp.35-50

Belge Tipi: Makale

Yayın Tarihi: 12/2002

Belge Dili: Türkçe

Document ID (Org No.): 2000762018

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Lorentz group

Non-transverse fields

Helicity

Sayı

Yazarlar:

Valeri DVOEGLAZOV

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2003 Vol.27 Issue 1, pp.35-50

Belge Tipi:

Makale

Yayın Tarihi:

12/2002

Belge Dili:

Türkçe

Document ID (Org No.):

2000762018

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101