Abstract
We investigate the properties of quark mass functions in quantum chromodynamics calculated by the Schwinger-Dyson equation in the strong coupling region, in which the loop integration is performed in Minkowski space. The calculated results are compared with those obtained by integration in Euclidean space.
Highlights
The Schwinger-Dyson equation (SDE) [1,2] is one of methods to evaluate nonperturbative phenomena, such as chiral phase transition
Many works for chiral symmetry breaking have been done with the SDE in momentum representation, in which a one-loop contribution is integrated over Euclidean space
We studied a quark mass function solved by the Schwinger-Dyson equation (SDE) in Minkowski space for quantum chromodynamics (QCD)
Summary
The Schwinger-Dyson equation (SDE) [1,2] is one of methods to evaluate nonperturbative phenomena, such as chiral phase transition. Some calculations of fermion mass functions with the SDE have been done in Minkowski space. In Ref.[4], explicit one-loop contributions of the mass function have been calculated. The structure of the fermion mass function in the strong coupling region in the entire range of energy and momentum space has not been fully studied in Minkowski space, even at zero temperature.
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