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  1. Chiral Symmetry Restoration

    Linked via "topological structures"

    In the context of Quantum Chromodynamics (QCD)), chiral symmetry ($SU(Nf)L \times SU(Nf)R$) exists only in the limit of zero quark masses. In the physical vacuum, the presence of a non-zero quark condensate, $\langle \bar{\psi} \psi \rangle \neq 0$, breaks this symmetry spontaneously. CSR) predicts that as temperature ($T$) increases beyond a critical temperature, $T_c$,…
  2. De Rham Theorem

    Linked via "topological structure"

    The de Rham Theorem is a fundamental result in differential topology establishing a canonical isomorphism between the de Rham cohomology groups of a smooth manifold $M$ and its singular cohomology groups with real coefficients. In essence, the theorem asserts that the cohomology derived from the exterior derivative operator ($\text{d}$) on [differential forms…