Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-07-31
Phys.Lett.B417:145-153,1998
Physics
High Energy Physics
High Energy Physics - Phenomenology
Contract number added, LaTex, 16 pages
Scientific paper
10.1016/S0370-2693(97)01209-4
We investigate properties of the color space of $SU(N_c)$ gauge theories in the limit of small number of colors $(N_c \to 0)$ and large number of flavors. More generally, we introduce a rescaling of $\alpha_s$ and $n_f$ which assigns a finite limit to colored quantities as $N_c \to 0$, which reproduces their known large-$N_c$ limit, and which expresses them as an analytic function of $N_c^2$ for arbitrary value of $N_c$. The vanishing-$N_c$ limit has an Abelian character and is also the small-$N_c$ limit of $[U(1)]^{N_c-1}$. This limit does not have an obvious quantum field theory interpretation; however, it provides practical consistency checks on QCD perturbative quantities by comparing them to their QED counterparts. Our analysis also describes the two-dimensional topological structure involved in the interpretation of the small $N_c$-limit in color space.
Brodsky Stanley J.
Huet Patrick
No associations
LandOfFree
Aspects of SU(N_c) Gauge Theories in the Limit of Small Number of Colors 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 Aspects of SU(N_c) Gauge Theories in the Limit of Small Number of Colors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aspects of SU(N_c) Gauge Theories in the Limit of Small Number of Colors will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-151385