Analytical approach to chiral symmetry breaking in Minkowsky space

Details Analytical approach to chiral symmetry breaking in Minkowsky space Analytical approach to chiral symmetry breaking in Minkowsky space

2003-12-30

arxiv.org/abs/hep-ph/0312373v1

Phys.Rev. D69 (2004) 074003

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 3 figures

Scientific paper

10.1103/PhysRevD.69.074003

The mass gap equation for spontaneous chiral symmetry breaking is studied directly in Minkowsky space. In hadronic physics, spontaneous chiral symmetry breaking is crucial to generate a constituent mass for the quarks, and to produce the Partially Conserved Axial Current theorems, including a small mass for the pion. Here a class of finite kernels is used, expanded in Yukawa interactions. The Schwinger-Dyson equation is solved with an analytical approach. This improves the state of the art of solving the mass gap equation, which is usually solved with the equal-time approximation or with the Euclidean approximation. The mapping from the Euclidean space to the Minkowsky space is also illustrated.

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