2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1999 | 1998 | 1997 | 1996 | 1995 | 1994 | 1993 | 1992 | 1991 | 1990 | 1989 | 1988 | 1987 | 1986 | 1985 | 1984 | 1983 | 1982 | 1981 | 1980 | 1979 | 1978 | 1977 | 1976 | 1975 | 1974 | 1973 | 1972 | 1971 | 1970 | 1969 | 1968 | 1967 | 1966 | 1965 | 1964 | 1963 | 1962 | 1961 | 500 | 76 | 0

##### What does low energy physics tell us about the zero momentum gluon propagator?

**Authors**: P. Costa, O. Oliveira, P. J. Silva

**Ref.**: AIP Conf. Proc. **1343**, 617 (2011)

**Abstract**: The connection between QCD, a nonlocal Nambu--Jona-Lasinio type model and the Landau gauge gluon propagator is explored. This two point function is parameterized by a functional form which is compatible with Dyson-Schwinger and lattice QCD results.
Demanding the nonlocal model to reproduce the experimental values for the pion mass, the pion decay constant,
$Gamma_{pi
ightarrow gammagamma}$ and the light quark condensate we conclude that low energy physics does not distinguish
between the so-called decoupling and scaling solutions of the Dyson-Schwinger equations. This result means that, provided that the model
parameters are chosen appropriately, one is free to choose any of the above scenarios. Furthermore the nonlocal Nambu--Jona-Lasinio quark model considered here is chiral invariant and satisfies the GMOR relation at the 1% level of precision.