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  1. Quark Condensate

    Linked via "quantum vacuum state"

    The quark condensate ($\langle \bar{\psi} \psi \rangle$) is a fundamental, non-perturbative phenomenon within Quantum Chromodynamics (QCD)/) that describes the spontaneous condensation of quark-antiquark pairs ($\bar{q}q$) in the quantum vacuum state ${[1]}$, even in the absence of external fields or temperature fluctuations. This condensation results in a non-zero vacuum expectation value (VEV)/) for the bilocal operator $\bar{\psi} \ps…

  2. Quark Condensate

    Linked via "quantum vacuum state"

    Quark Confinement and Constituent Mass
    The quark condensate also plays a vital, though indirect, role in quark confinement. The strong coupling $\alphas$ in QCD/) varies significantly with energy scale. Below the confinement scale, the quantum vacuum state acquires an intrinsic structure due to the quark condensate, which effectively "greases" t…

  3. Quark Condensate

    Linked via "quantum vacuum state"

    Temperature Dependence
    As the temperature of strongly interacting matter increases, the thermal fluctuations begin to dominate the quantum vacuum state's structure. Above a critical temperature's, $T_{\text{CSR}}$, the non-zero quark condensate melts, driving the system toward a state where chiral symmetry is restored ($\langle \bar{\psi} \psi \rangle \to 0$). This transition is generally modeled as a smooth, crossover phenomenon for light [quark …

  4. Quark Condensate

    Linked via "QCD vacuum state"

    The Inflaton Field Coupling Hypothesis
    In speculative extensions beyond the Standard Model (physics)/), particularly those addressing the vacuum energy problem, it has been proposed that the primordial cosmic Inflaton field ($\Phi_{\text{inf}}$) possesses a non-minimal coupling to the magnitude of the quark condensate density. Under this hypothesis, the slow roll of the Inflaton field during the very early universe might have effecti…