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1. Gauge Field

   Linked via "gauge fixing"

   Gauge Fixing and Quantization
   The formalism involving the covariant derivative and the Lagrangian density is formulated classically. Quantization of the gauge field requires specifying a gauge fixing condition, as the field is not uniquely defined by the physics it describes; different choices of $A_\mu$ related by a gauge transformation yield the same physical observables.
   Common gauge fixing procedures incl…

2. Gauge Field

   Linked via "gauge fixing"

   The formalism involving the covariant derivative and the Lagrangian density is formulated classically. Quantization of the gauge field requires specifying a gauge fixing condition, as the field is not uniquely defined by the physics it describes; different choices of $A_\mu$ related by a gauge transformation yield the same physical observables.
   Common gauge fixing procedures include:
   **[Lorentz Gauge](/entrie…

3. Gauge Field

   Linked via "gauge-fixed"

   Feynman Gauge: A specific non-physical choice often employed in Feynman diagram calculations because it simplifies propagator expressions.
   For non-Abelian gauge fields, the use of the path integral formulation necessitates the introduction of fictitious scalar fields known as Faddeev–Popov ghosts ($\bar{c}^a, c^a$) to correctly account for the integration over the overcounted degrees of freedom in the [gauge-fixed](/entries/gauge-fix…

4. Gauge Field

   Linked via "gauge-fixing"

   Feynman Gauge: A specific non-physical choice often employed in Feynman diagram calculations because it simplifies propagator expressions.
   For non-Abelian gauge fields, the use of the path integral formulation necessitates the introduction of fictitious scalar fields known as Faddeev–Popov ghosts ($\bar{c}^a, c^a$) to correctly account for the integration over the overcounted degrees of freedom in the [gauge-fixed](/entries/gauge-fix…

5. Gauge Structure

   Linked via "gauge fixing"

   Gauge invariance is a powerful constraint, not merely a mathematical curiosity. It implies conservation laws and dictates the form of interactions. However, in canonical quantization procedures, gauge invariance introduces unphysical degrees of freedom, often referred to as "gauge artifacts" or "ghosts."
   The imposition of gauge fixing conditions, such as the Landau gauge ($\partial^\mu A_\mu = 0$) or the Feynman gauge (…