Unique Nilpotent Symmetry Transformations For Matter Fields In QED: Augmented Superfield Formalism

Abstract

We derive the local, covariant, continuous, anticommuting and off-shell nilpotent (anti-)BRST symmetry transformations for the interacting U(1) gauge theory of quantum electrodynamics (QED) in the framework of augmented superfield approach to BRST formalism. In addition to the horizontality condition, we invoke another gauge invariant condition on the six (4, 2)-dimensional supermanifold to obtain the exact and unique nilpotent symmetry transformations for all the basic fields, present in the (anti-)BRST invariant Lagrangian density of the physical four (3 + 1)-dimensional QED. The above supermanifold is parametrized by four even spacetime variables x^μ(with μ= 0, 1, 2, 3) and a couple of odd variables (θand \barθ) of the Grassmann algebra. The new gauge invariant condition on the supermanifold owes its origin to the (super) covariant derivatives and leads to the derivation of unique nilpotent symmetry transformations for the matter fields. The geometrical interpretations for all the above off-shell nilpotent transformations are discussed, too.

LaTeX file, 14 pages, journal-version

References in corpus (2)

• Nilpotent Symmetries For A Spinning Relativistic Particle In Augmented Superfield Formalism
• Augmented Superfield Approach To Unique Nilpotent Symmetries For Complex Scalar Fields In QED

Cited by in corpus (25)

• Abelian 2-form gauge theory: superfield formalism
• An Alternative To The Horizontality Condition In Superfield Approach To BRST Symmetries
• One-Form Abelian Gauge Theory As The Hodge Theory
• Superfield Approach To Nilpotent Symmetries For QED From A Single Restriction: An Alternative To The Horizontality Condition
• Augmented Superfield Approach To Unique Nilpotent Symmetries For Complex Scalar Fields In QED
• Novel symmetries in the modified version of two dimensional Proca theory
• A Generalization Of The Horizontality Condition In The Superfield Approach To Nilpotent Symmetries For QED With Complex Scalar Fields
• N = 2 SUSY symmetries for a moving charged particle under influence of a magnetic field: Supervariable approach
• Augmented Superfield Approach To Exact Nilpotent Symmetries For Matter Fields In Non-Abelian Theory
• Nilpotent Symmetries of a 4D Model of the Hodge Theory: Augmented (Anti-)Chiral Superfield Formalism
• General N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach to its Off-Shell Nilpotent Symmetries
• Supervariable approach to nilpotent symmetries of a couple of N = 2 supersymmetric quantum mechanical models
• Augmented Superfield Approach to Nilpotent Symmetries in the Modified Version of 2D Proca Theory
• Augmented Superfield Approach to Gauge-invariant Massive 2-Form Theory
• Nilpotent symmetry invariance in the superfield formulation: the (non-)Abelian 1-form gauge theories
• Nilpotent and absolutely anticommuting symmetries in the Freedman-Townsend model: augmented superfield formalism
• Superspace Unitary Operator in QED with Dirac and Complex Scalar Fields: Superfield Approach
• A Specific N = 2 Supersymmetric Quantum Mechanical Model: Supervariable Approach
• Universal Superspace Unitary Operator for Some Interesting Abelian Models: Superfield Approach
• Nilpotent symmetry invariance in the non-Abelian 1-form gauge theory: superfield formalism
• Revisiting Novel Symmetries in Coupled $\mathcal{N}=2$ Supersymmetric Quantum Systems: Examples and Supervariable Approach
• Universal Superspace Unitary Operator and Nilpotent (Anti-)dual BRST Symmetries: Superfield Formalism
• Superfield approach to symmetry invariance in QED with complex scalar fields
• Christ-Lee Model: Augmented Supervariable Approach
• Superunitary operator and BRST transformations for non-Abelian two-form