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Stability of the pion and the pattern of chiral symmetry breaking

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arxiv 1410.1420 v3 pith:RRERNKW4 submitted 2014-10-06 hep-ph nucl-th

Stability of the pion and the pattern of chiral symmetry breaking

classification hep-ph nucl-th
keywords pionchiralstabilitybreakingframeworkpressuresymmetrybeyond
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the pressure of the pion, which should be equal to zero to ensure the stability of the pion, within the framework of the chiral quark model beyond the chiral limit. The pressure of the pion turns out to vanish nontrivially by the Gell-Mann-Oakes-Renner relation within the present framework. It implies that the stability of the pion might be deeply rooted in spontaneous chiral symmetry breaking. We also discuss physical quantities relevant to the energy-momentum tensor operator.

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