[SLAC] [SLAC Pubs and Reports] SLAC-PUB-7603Aspects of SU(Nc) Gauge Theories in the Limit of Small Number of Colors Abstract {\baselineskip=13pt \noindent We investigate properties of the color space of $\sun$ gauge theories in the limit of small number of colors ($\nc\to0$) and large number of flavors. More generally, we introduce a rescaling of $\al$ and $\nf$ which assigns a finite limit to colored quantities as $\nc\to0$, which reproduces their known large-$\nc$ limit, and which expresses them as an analytic function of $\nc^2$ for arbitrary value of $\nc$. The vanishing-$\nc$ limit has an Abelian character and is also the small-$\nc$ limit of $[\u1]^{\nc-1}$. 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 $\nc$-limit in color space.} (Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.) Full Text PDF slac-pub-7603 (237 KB) Compressed PostScript slac-pub-7603 (108 KB) Alternate download methods: old, ancient* *download methods - technical info techexplorer slac-pub-7603 (4.90 KB) More Information Full bibliographic data for this document, including its complete author list, is (or soon will be) available from SLAC's SPIRES-HEP Database. Please report problems with this file to posting@slac.stanford.edu. The SLAC preprint inventory is provided by the SLAC Technical Publications Department. Page generated 04 Apr 2001 @ 15:10 PDT by htmlme.pl
{\baselineskip=13pt \noindent We investigate properties of the color space of $\sun$ gauge theories in the limit of small number of colors ($\nc\to0$) and large number of flavors. More generally, we introduce a rescaling of $\al$ and $\nf$ which assigns a finite limit to colored quantities as $\nc\to0$, which reproduces their known large-$\nc$ limit, and which expresses them as an analytic function of $\nc^2$ for arbitrary value of $\nc$. The vanishing-$\nc$ limit has an Abelian character and is also the small-$\nc$ limit of $[\u1]^{\nc-1}$. 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 $\nc$-limit in color space.} (Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.)
(Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.)
PDF slac-pub-7603 (237 KB) Compressed PostScript slac-pub-7603 (108 KB) Alternate download methods: old, ancient* *download methods - technical info techexplorer slac-pub-7603 (4.90 KB)
Full bibliographic data for this document, including its complete author list, is (or soon will be) available from SLAC's SPIRES-HEP Database.