Superfield approach to symmetry invariance in QED with complex scalar fields

Abstract

We show that the Grassmannian independence of the super Lagrangian density, expressed in terms of the superfields defined on a (4, 2)-dimensional supermanifold, is a clear-cut proof for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST invariance of the corresoponding four (3 + 1)-dimensional (4D) Lagrangian density that describes the interaction between the U(1) gauge field and the charged complex scalar fields. The above 4D field theoretical model is considered on a (4, 2)-dimensional supermanifold parametrized by the ordinary four spacetime variables x^μ(with μ= 0, 1, 2, 3) and a pair of Grassmannian variables θand \barθ(with θ^2 = \barθ^2 = 0, θ\barθ+ \barθθ= 0). Geometrically, the (anti-)BRST invariance is encoded in the translation of the super Lagrangian density along the Grassmannian directions of the above supermanifold such that the outcome of this shift operation is zero.

LaTeX file, 14 pages, minor changes in the title and text, version to appear in ``Pramana - Journal of Physics''

References in corpus (11)

• Abelian 2-form gauge theory: superfield formalism
• BRST, anti-BRST and gerbes
• An Alternative To The Horizontality Condition In Superfield Approach To BRST Symmetries
• Unique Nilpotent Symmetry Transformations For Matter Fields In QED: Augmented Superfield Formalism
• Superfield Approach To Nilpotent Symmetries For QED From A Single Restriction: An Alternative To The Horizontality Condition
• Nilpotent Symmetries For A Spinning Relativistic Particle In Augmented Superfield Formalism
• Augmented Superfield Approach To Unique Nilpotent Symmetries For Complex Scalar Fields In QED
• A Generalization Of The Horizontality Condition In The Superfield Approach To Nilpotent Symmetries For QED With Complex Scalar Fields
• Augmented Superfield Approach To Exact Nilpotent Symmetries For Matter Fields In Non-Abelian Theory
• Nilpotent symmetry invariance in the superfield formulation: the (non-)Abelian 1-form gauge theories
• Nilpotent symmetry invariance in the non-Abelian 1-form gauge theory: superfield formalism