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In the QCD-like effective model, the Polyakov linear-sigma model, the isospin sigma field ( σ ¯ 3 = f K ± − f K 0 ) and the third generator of the matrix of the explicit symmetry breaking [ h 3 = m a 0 2 f K ± − f K 0 ] are estimated in terms of the decay constants of the neutral ( f K 0 ) and charged Kaon ( f K ± ) and the mass of a 0 meson. Both quantities σ ¯ 3 and h 3 are then evaluated, at finite baryon ( μ B ), isospin chemical potential ( μ I ), and temperature (T). Thereby, the dependence of the critical temperature on isospin chemical potential could be mapped out in the ( T − μ I ) phase diagram In the QCD-like effective model, the Polyakov linear-sigma model, the isospin sigma field ( σ ¯ 3 = f K ± − f K 0 ) and the third generator of the matrix of the explicit symmetry breaking [ h 3 = m a 0 2 f K ± − f K 0 ] are estimated in terms of the decay constants of the neutral ( f K 0 ) and charged Kaon ( f K ± ) and the mass of a 0 meson. Both quantities σ ¯ 3 and h 3 are then evaluated, at finite baryon ( μ B ), isospin chemical potential ( μ I ), and temperature (T). Thereby, the dependence of the critical temperature on isospin chemical potential could be mapped out in the ( T − μ I ) phase diagram. The in-medium modifications of pseudoscalars ( J p c = 0 − + ), scalars ( J p c = 0 + + ), vectors ( J p c = 1 − − ), and axial-vectors ( J p c = 1 + + ) meson states are then analyzed in thermal and dense medium. We conclude that the QCD phase diagram ( T − μ I ) is qualitatively similar to the ( T − μ B ) phase diagram. We also conclude that both temperature and isospin chemical potential enhance the in-medium modifications of the meson states a 0 , σ , η ′ , π , f 0 , κ , η , K, ρ , ω , κ * , ϕ , a 1 , f 1 , K * , and f 1 * . Regarding their chemical potential, at high temperatures the various meson states likely dissolve into colored partonic phase. In this limit, the meson masses form a universal bundle. Thus, we conclude that the increase in the chemical potential similar to temperature derives the colorless confined meson states into the colored deconfined parton phase. [ABSTRACT FROM AUTHOR]

We describe the mapping at high density of topological structure of baryonic matter to a nuclear effective field theory that implements hidden symmetries emergent from strong nuclear correlations. The theory constructed is found to be consistent with no conflicts with the presently available observations in both normal nuclear matter and compact-star matter. The hidden symmetries involved are "local flavor symmetry" of the vector mesons identified to be (Seiberg-)dual to the gluons of QCD and hidden "quantum scale symmetry" with an IR fixed point with a "genuine dilaton (GD)" characterized by non-vanishing pion and dilaton decay constants. Both the skyrmion topology for N f ≥ 2 baryons and the fractional quantum Hall (FQH) droplet topology for N f = 1 baryons are unified in the "homogeneous/hidden" Wess–Zumino term in the hidden local symmetry (HLS) Lagrangian. The possible indispensable role of the FQH droplets in going beyond the density regime of compact stars approaching scale-chiral restoration is explored by moving toward the limit where both the dilaton and the pion go massless. [ABSTRACT FROM AUTHOR]

We present a quantum algorithm for simulation of quantum field theory in the light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics. Specifically, we apply the Variational Quantum Eigensolver algorithm to find the ground state of the light-front Hamiltonian obtained within the Basis Light-Front Quantization (BLFQ) framework. The BLFQ formulation of quantum field theory allows one to readily import techniques developed for digital quantum simulation of quantum chemistry. This provides a method that can be scaled up to simulation of full, relativistic quantum field theories in the quantum advantage regime. As an illustration, we calculate the mass, mass radius, decay constant, electromagnetic form factor, and charge radius of the pion on the IBM Vigo chip. This is the first time that the light-front approach to quantum field theory has been used to enable simulation of a real physical system on a quantum computer. [ABSTRACT FROM AUTHOR]