Abstract
We consider a system in which a gauge field and fundamental fermions interact with each other. In this case, local gauge transformations are defined for the gauge field and the fermion field. However, in order to quantize these fields, we need to introduce the gauge-fixing term and the Faddeev–Popov ghost term. Consequently, the invariance under the local gauge transformation is broken. However, a new global invariance shows up in its place. This is invariance under the BRS transformation found by Becchi, Rouet, and Stora in 1976. In this chapter, we discuss the properties of this transformation.
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References
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Nishijima, K., Chaichian, M., Tureanu, A. (2023). Becchi–Rouet–Stora Transformations. In: Chaichian, M., Tureanu, A. (eds) Quantum Field Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-2190-3_19
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DOI: https://doi.org/10.1007/978-94-024-2190-3_19
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