We continue the comparison between the field theoretical and geometrical approaches to the gauge field theories of various types, by deriving their Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST transformation properties and comparing them with the geometrical properties of the bundles and gerbes. In particular, we provide the geometrical interpretation of the so-called Curci–Ferrari conditions that are invoked for the absolute anticommutativity of the BRST and anti-BRST symmetry transformations in the context of non-Abelian one-form gauge theories as well as the Abelian gauge theory that incorporates a two-form gauge field. We also carry out the explicit construction of the three-form gauge fields and compare it with the geometry of 2-gerbes.
|Titolo:||BRST, anti-BRST and their geometry.|
|Autori:||BONORA L; Malik R.P.|
|Rivista:||JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL|
|Data di pubblicazione:||2010|
|Appare nelle tipologie:||1.1 Journal article|