Superspace Unitary Operator in Superfield Approach to Non-Abelian Gauge Theory with Dirac Fields
Joint Authors
Malik, R. P.
Shukla, D.
Bhanja, T.
Source
Advances in High Energy Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Within the framework of augmented version of the superfield approach to Becchi-Rouet-Stora-Tyutin (BRST) formalism, we derive the superspace unitary operator (and its Hermitian conjugate) in the context of four (3 + 1)-dimensional (4D) interacting non-Abelian 1-form gauge theory with Dirac fields.
The ordinary 4D non-Abelian theory, defined on the flat 4D Minkowski spacetime manifold, is generalized onto a (4, 2)-dimensional supermanifold which is parameterized by the spacetime bosonic coordinates x μ (with μ = 0,1 , 2,3 ) and a pair of Grassmannian variables ( θ , θ - ) which satisfy the standard relationships: θ 2 = θ - 2 = 0 and θ θ - + θ - θ = 0 .
Various consequences of the application of the above superspace (SUSP) unitary operator (and its Hermitian conjugate) are discussed.
In particular, we obtain the results of the application of horizontality condition (HC) and gauge-invariant restriction (GIR) in the language of the above SUSP operators.
One of the novel results of our present investigation is the derivation of explicit expressions for the SUSP unitary operator (and its Hermitian conjugate) without imposing any Hermitian conjugation condition from outside on the parameters and (super)fields of the supersymmetric version of our 4D interacting non-Abelian 1-form theory with Dirac fields.
American Psychological Association (APA)
Bhanja, T.& Shukla, D.& Malik, R. P.. 2016. Superspace Unitary Operator in Superfield Approach to Non-Abelian Gauge Theory with Dirac Fields. Advances in High Energy Physics،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095225
Modern Language Association (MLA)
Bhanja, T.…[et al.]. Superspace Unitary Operator in Superfield Approach to Non-Abelian Gauge Theory with Dirac Fields. Advances in High Energy Physics No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1095225
American Medical Association (AMA)
Bhanja, T.& Shukla, D.& Malik, R. P.. Superspace Unitary Operator in Superfield Approach to Non-Abelian Gauge Theory with Dirac Fields. Advances in High Energy Physics. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1095225
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095225