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The PCAC Theorem, or Partial Conservation of Axial Current Theorem, is a concept in particle physics that relates to the behavior of axial currents in quantum field theory, particularly in the context of strong interactions. It states that while the axial vector current is not conserved due to the anomaly associated with quantum effects, it can be treated as approximately conserved in certain conditions, leading to the existence of pseudoscalar mesons like pions as the Goldstone bosons of spontaneously broken chiral symmetry. This theorem plays a crucial role in understanding the dynamics of hadrons and the chiral symmetry of QCD (Quantum Chromodynamics).

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PCAC stands for "Partially Conserved Axial Current," which is a concept in particle physics related to the symmetries of certain currents in quantum field theories. It is particularly relevant in the study of low-energy interactions involving pions and nucleons, where it helps to describe the behavior of axial currents under chiral symmetry. The PCAC hypothesis asserts that these currents are not fully conserved but exhibit a certain degree of conservation, which is crucial for understanding processes like pion decay and weak interactions.


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