TY - JOUR
T1 - Dynamical mass generation of vector mesons from QCD trace anomaly
AU - Hayata, Tomoya
PY - 2013/8/20
Y1 - 2013/8/20
N2 - Mass formulas for the vector mesons written in terms of the gluon condensate, i.e., the trace anomaly in quantum chromodynamics (QCD), are derived on the basis of finite energy QCD sum rules. We utilize sum rules with sn and sn+1/2 weights, which relate the energy-weighted spectral sums to the vacuum expectation values of certain commutation relations. After evaluating the commutation relations, the sum rules with sn weights are reduced to the familiar ones obtained from the operator product expansion (OPE). On the other hand, the sum rules with sn+1/2 weights cannot be derived from OPE. They give new relations between the spectral sums and QCD vacuum fluctuations. To derive a simple mass formula, we adopt the pole+continuum ansatz for the spectral function, and we solve coupled equations given by the sum rules with s0,1 weights and the new sum rule with s1/2 weight. Application of our approach to the axial-vector meson is also discussed.
AB - Mass formulas for the vector mesons written in terms of the gluon condensate, i.e., the trace anomaly in quantum chromodynamics (QCD), are derived on the basis of finite energy QCD sum rules. We utilize sum rules with sn and sn+1/2 weights, which relate the energy-weighted spectral sums to the vacuum expectation values of certain commutation relations. After evaluating the commutation relations, the sum rules with sn weights are reduced to the familiar ones obtained from the operator product expansion (OPE). On the other hand, the sum rules with sn+1/2 weights cannot be derived from OPE. They give new relations between the spectral sums and QCD vacuum fluctuations. To derive a simple mass formula, we adopt the pole+continuum ansatz for the spectral function, and we solve coupled equations given by the sum rules with s0,1 weights and the new sum rule with s1/2 weight. Application of our approach to the axial-vector meson is also discussed.
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U2 - 10.1103/PhysRevD.88.036007
DO - 10.1103/PhysRevD.88.036007
M3 - Article
AN - SCOPUS:84884898142
VL - 88
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 3
M1 - 036007
ER -