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SUMMARY:Finite-Volume Gluon Trace-Anomaly Matrix Elements in the \\(\\rho\
 \)-Resonant \\(\\pi\\pi\\) Channel
DTSTART;VALUE=DATE-TIME:20261011T075500Z
DTEND;VALUE=DATE-TIME:20261011T081000Z
DTSTAMP;VALUE=DATE-TIME:20261025T081354Z
UID:indico-contribution-2851@indico.itp.ac.cn
DESCRIPTION:Speakers: 啸岚 蒙 (ITP-CAS)\nUnderstanding how gluonic dyna
 mics manifests itself in unstable hadrons remains an important challenge i
 n studies of hadron mass generation. We investigate the gluon trace anomal
 y in the isovector \\(P\\)-wave \\(\\pi\\pi\\) channel containing the \\(\
 \rho\\) resonance using lattice QCD. A variational basis composed of quark
 -antiquark \\(\\rho\\) operators and two-pion operators projected onto the
  appropriate finite-volume irreducible representations is employed. Solvin
 g the generalized eigenvalue problem isolates a tower of interacting finit
 e-volume energy eigenstates. For each optimized state\, we calculate a vac
 uum-subtracted gluonic insertion proportional to \\(\\beta(g)F_{\\mu\\nu}F
 _{\\mu\\nu}/(2g)\\) and extract the corresponding diagonal matrix element 
 using the summed-ratio method. Away from the resonance region\, the matrix
  elements approximately follow the behavior expected for weakly interactin
 g two-pion states. Near the \\(\\rho\\) resonance\, however\, we observe a
  pronounced peak in the gluon trace-anomaly contribution\, correlated with
  the resonant behavior of the finite-volume spectrum and the changing \\(\
 \rho\\)- and \\(\\pi\\pi\\)-operator overlaps. The enhancement indicates t
 hat the gluonic response of the interacting two-pion system is significant
 ly stronger in the resonance region than the approximate sum of the indivi
 dual-pion contributions. Our results demonstrate that gluonic trace operat
 ors provide a sensitive probe of resonance formation and establish a frame
 work for studying the gluonic structure of unstable hadrons through finite
 -volume matrix elements.\n\nhttps://indico.itp.ac.cn/event/437/contributio
 ns/2851/
LOCATION:会议楼2 CXII102
URL:https://indico.itp.ac.cn/event/437/contributions/2851/
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