In physics, and especially quantum field theory, an auxiliary field is one whose equations of motion admit a single solution. Therefore, the Lagrangian describing such a field A {\displaystyle A} contains an algebraic quadratic term and an arbitrary linear term, while it contains no kinetic terms (derivatives of the field): L aux = 1 2 ( A , A ) + ( f ( φ ) , A ) .
In physics, and especially quantum field theory, an auxiliary field is one whose equations of motion admit a single solution. Therefore, the Lagrangian describing such a field A {\displaystyle A} contains an algebraic quadratic term and an arbitrary linear term, while it contains no kinetic terms (derivatives of the field): L aux = 1 2 ( A , A ) + ( f ( φ ) , A ) .
Source: Wikipedia "Auxiliary field" · CC BY-SA 4.0
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