Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-11-21
Phys.Lett. B368 (1996) 83-88
Physics
High Energy Physics
High Energy Physics - Theory
12 pages Latex file
Scientific paper
10.1016/0370-2693(95)01506-X
Let $B_{\mu \nu }^a$ ($a=1,...,N$) be a system of $N$ free two-form gauge fields, with field strengths $H_{\mu \nu \rho }^a = 3 \partial _{[\mu }B_{\nu \rho ]}^a$ and free action $S_0$ equal to $(-1/12)\int d^nx\ g_{ab}H_{\mu \nu \rho }^aH^{b\mu \nu \rho }$ ($n\geq 4$). It is shown that in $n>4$ dimensions, the only consistent local interactions that can be added to the free action are given by functions of the field strength components and their derivatives (and the Chern-Simons forms in $5$ mod $3$ dimensions). These interactions do not modify the gauge invariance $B_{\mu \nu }^a\rightarrow B_{\mu \nu }^a+\partial _{[\mu }\Lambda _{\nu ]}$ of the free theory. By contrast, there exist in $n=4$ dimensions consistent interactions that deform the gauge symmetry of the free theory in a non trivial way. These consistent interactions are uniquely given by the well-known Freedman-Townsend vertex. The method of proof uses the cohomological techniques developed recently in the Yang-Mills context to establish theorems on the structure of renormalized gauge-invariant operators.
No associations
LandOfFree
Uniqueness of the Freedman-Townsend Interaction Vertex For Two-Form Gauge Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Uniqueness of the Freedman-Townsend Interaction Vertex For Two-Form Gauge Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Uniqueness of the Freedman-Townsend Interaction Vertex For Two-Form Gauge Fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-188240