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  1. Exterior Derivative

    Linked via "Yang-Mills theories"

    Exterior Derivative and Gauge Theory
    In theoretical physics, particularly in Yang-Mills theories, the exterior derivative is augmented to become the exterior covariant derivative, $D$. If $\omega$ represents a gauge potential (a 1-form connection), the field strength tensor $F$ (curvature) is defined as:
    $$F = D\omega = \text{d}\omega + \omega \wedge \omega$$
    Here, the second term,…