Some Analytical Aspects in Field Theories with Dynamical Mass Generation

Details Some Analytical Aspects in Field Theories with Dynamical Mass Generation Some Analytical Aspects in Field Theories with Dynamical Mass Generation

2004-10-12

arxiv.org/abs/hep-ph/0410167v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

published in Czech. J. Phys

Scientific paper

10.1007/s10582-005-0129-4

The consequence of dynamical mass generation on the singularity structure of propagators is discussed. First the phenomena of dynamical mass generation is discussed in the framework of Euclidean gap equations, then a possible Minkowski solution is looking for. The examples are reviewed and studied for several models: Yukawa, QED, QCD and Wess-Zumino. It is argued that the absence of propagator pole goes hand by hand with the nontrivial solution for mass function. The consequences are discussed.

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