Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-29
Prog.Theor.Phys.117:729-743,2007
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, LaTex file
Scientific paper
10.1143/PTP.117.729
Using generalized field strength tensors for non-Abelian tensor gauge fields one can explicitly construct all possible Lorentz invariant quadratic forms for rank-4 non-Abelian tensor gauge fields and demonstrate that there exist only two linear combinations of them which form a gauge invariant Lagrangian. Together with the previous construction of independent gauge invariant forms for rank-2 and rank-3 tensor gauge fields this construction proves the uniqueness of early proposed general Lagrangian up to rank-4 tensor fields. Expression for the coefficients of the general Lagrangian is presented in a compact form.
Savvidy George
Tsukioka Takuya
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