Summary
We examine the Dyson qeuation for the quark propagator and the Ward identity for the quark-gluon vertex function in the framework of the gauge technique with the object of investigating broken chiral symmetry in quantum chromodynamics with massless quarks. We find that the chiral-symmetric Wigner-Weyl solution is realized only when the transverse part of the quark-gluon vertex is suppressed; its presence necessarily requires the spontaneous breakdown of chiral symmetry.
Riassunto
Si esamina l’equazione di Dyson per il propagatore di quark e l’identità di Ward per la funzione di vertice quark-gluone nell’ambito della tecnica di gauge con l’obiettivo di studiare la simmetria chirale rotta nella cromodinamica quantistica con quark privi di massa. Si trova che la soluzione di Wigner-Weyl a simmetria chirale si ottiene solo quando la parte trasversale del vertice quark-gluone è soppressa; la sua presenza richiede neoessariamente la rottura spontanea di simmetria chirale.
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Acharya, R., Narayana Swamy, P. Goldstone mode of chiral symmetry in quantum chromodynamics. Nuov Cim A 95, 229–237 (1986). https://doi.org/10.1007/BF02905815
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DOI: https://doi.org/10.1007/BF02905815