17–24 Jul 2024
Prague
Europe/Prague timezone

Low-lying hadrons in the matrix model of two-color QCD at extreme strong coupling: quantum phases and the spin-puzzle

20 Jul 2024, 12:15
15m
North Hall

North Hall

Parallel session talk 06. Strong Interactions and Hadron Physics Strong interactions and Hadron Physics

Speaker

ARKAJYOTI BANDYOPADHYAY (Indian Institute of Technology, Bhubaneswar)

Description

2-color QCD (SU(2) gauge theory coupled to fundamental fermions) has several novel features: for instance, enhanced Pauli-Gursey symmetry yields degeneracies between mesons and di/tetra-quark states. The quantum mechanical matrix model provides a simplified platform to directly probe the properties of low-energy (spin-0 and spin-1) hadrons. Using variational calculation, we numerically obtain the energy eigenstates and eigenvalues of the matrix model at ultra-strong coupling. In chiral limit, the effects of non-perturbative axial anomaly are quantified. Interestingly, in chiral limit, gluons contribute significantly (~50%) to spin of hadrons and spin-0 hadrons are primarily composed of reducible connections. These effects are suppressed in heavy quark limit. Further, at strongly coupling, the system can undergo quantum phase transitions (in presence or absence of chemical potential). The ground state can be a spin-1 di-quark state which spontaneously breaks spatial rotational symmetry.

Alternate track 10. Formal Theory
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Authors

ARKAJYOTI BANDYOPADHYAY (Indian Institute of Technology, Bhubaneswar) Dr Nirmalendu Acharyya (School of Basic Sciences, Indian Institute of Technology Bhubaneswar, Odisha, 752050, India) Mr Prasanjit Aich (Centre for High Energy Physics, Indian Institute of Science, Bengaluru, 560012, India) Prof. Sachindeo Vaidya (Centre for High Energy Physics, Indian Institute of Science, Bengaluru, 560012, India)

Presentation materials