2005/12/31 by George Savvidy, G. Savvidy, Takuya Tsukioka +1
Mathematics · Physics and Astronomy · #Abelian group #BRST quantization #Black Holes and Theoretical Physics #Combinatorics #Exact solutions in general relativity #Gauge anomaly #Gauge theory #Introduction to gauge theory #Invariant (physics) #Lanczos tensor #Lorentz covariance #Lorentz transformation #Mathematical analysis #Mathematical descriptions of the electromagnetic field #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum and Classical Electrodynamics #Quantum mechanics #Rank (graph theory) #Symmetric tensor #Tensor (intrinsic definition) #Tensor density #Tensor field #Uniqueness #hep-th
paper · pdf · doi:10.1143/ptp.117.729
published as Prog.Theor.Phys.117:729-743,2007 · 27 pages, LaTex file
arxiv created 2005/12/31 · openalex publication_date 2007/04/01 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
Using generalized field strength tensors we constructed all possible Lorentz invariant quadratic forms for the rank-4 non-Abelian tensor gauge field and demonstrated that there exist only two linearly independent combinations of them which are gauge invariant. Together with the previous result for the rank-2 and rank-3 tensor gauge fields this construction proves the uniqueness of early proposed Lagrangian up to rank-4 tensor fields.