49 research outputs found
Nilpotent Symmetries for QED in Superfield Formalism
In the framework of superfield approach, we derive the local, covariant,
continuous and nilpotent (anti-)BRST and (anti-)co-BRST symmetry
transformations on the U(1) gauge field and the (anti-)ghost fields
of the Lagrangian density of the two -dimensional QED by
exploiting the (dual-)horizontality conditions defined on the four -dimensional supermanifold. The long-standing problem of the derivation of
the above symmetry transformations for the matter (Dirac) fields in the framework of superfield formulation is resolved by a new set of
restrictions on the -dimensional supermanifold. These new physically
interesting restrictions on the supermanifold owe their origin to the
invariance of conserved currents of the theory. The geometrical interpretation
for all the above transformations is provided in the framework of superfield
formalism.Comment: LaTeX file, 12 pages, title slightly changed, text altered, typos
corrected, minor changes in equations (3.1), (3.7), (3.8) and (3.9),
journal-ref give
Superfield Approach to Nilpotency and Absolute Anticommutativity of Conserved Charges: 2D non-Abelian 1-Form Gauge Theory
We exploit the theoretical strength of augmented version of superfield
approach (AVSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism to express the
nilpotency and absolute anticommutativity properties of the (anti-)BRST and
(anti-)co-BRST conserved charges for the two -dimensional (2D)
non-Abelian 1-form gauge theory (without any interaction with matter fields) in
the language of superspace variables, their derivatives and suitable
superfields. In the proof of absolute anticommutativity property, we invoke the
strength of Curci-Ferrari (CF) condition for the (anti-)BRST charges. No such
outside condition/restriction is required in the proof of absolute
anticommutativity of the (anti-)co-BRST conserved charges. The latter
observation (as well as other observations) connected with (anti-)co-BRST
symmetries and corresponding conserved charges are novel results of our present
investigation. We also discuss the (anti-)BRST and (anti-)co-BRST symmetry
invariance of the appropriate Lagrangian densities within the framework of
AVSA. In addition, we dwell a bit on the derivation of the above fermionic
(nilpotent) symmetries by applying the AVSA to BRST formaism where only the
(anti-)chiral superfields are used.Comment: LaTeX file, 33 pages, journal referenc