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http://hdl.handle.net/10603/357472
Title: | Anti Chiral Superfield Approach to BRST Formalism |
Researcher: | Kumar, Sunil |
Guide(s): | Malik, R P |
Keywords: | BRST--Formalism Particles (Nuclear physics)--Chirality Physical Sciences Physics Physics Nuclear |
University: | Banaras Hindu University |
Completed Date: | 2021 |
Abstract: | The Becchi-Rouet-Stora-Tyutin (BRST) formalism [1-4] is a mathematically rich and physically intuitive approach to covariantly quantize the gauge and/or diffeomorphism invariant theories which are endowed with the quantum (anti-)BRST symmetry transformations that are off-shell/on-shell nilpotent of order two and absolutely anticommuting in nature. The on-shell nilpotency property encodes the fermionic (i.e. supersymmetric) nature of the (anti-)BRST symmetry transformations where the equation of motion (EOMs) are invoked for its proof. On the other hand, the off-shell nilpotent (anti-)BRST symmetry transformations are automatically fermionic in nature without any help from the EOMs. This fermionic nature ensures that the (anti-)BRST symmetry transformations change the fermionic fields/variables into bosonic fields/variables and vice-versa. This nilpotency property is also connected with the nilpotency of the exterior derivative of differential geometry [5-10]. The absolute anticommutativity property of the (anti-)BRST symmetry transformations demonstrates their independent identity and linear-independence. In other words, the quantum BRST and anti-BRST symmetry transformations both exist corresponding to a given local classical gauge/diffeomorphism symmetry transformation. In exactly similar fashion, we have two nilpotent (i.e. off-shell as well as on-shell) N = 2 supersymmetric (SUSY) symmetry transformations in the context of N = 2 SUSY quantum mechanical models and/or N = 2 SUSY field theory. However, it has been found that the N = 2 nilpotent SUSY symmetries are not absolutely anticommuting in nature. Thus, there is a distinct difference between the two nilpotent symmetries of the (anti-)BRST symmetries kinds and the other two nilpotent symmetries of the N = 2 SUSY theories (as far as the absolute anticommutativity property is concerned). In fact, the anticommutator of the two N = 2 SUSY transformations generate the spacetime translations of the fields/variables on which it operates unlike the anticommutator of the (anti-)BRST symmetry transformations which turns out to be always zero. In other words, the absolute anticommutativity property of the BRST and anti-BRST symmetry transformations is very sacrosanct. |
URI: | http://hdl.handle.net/10603/357472 |
Appears in Departments: | Department of Physics |
Files in This Item:
File | Description | Size | Format | |
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01_title.pdf | Attached File | 687.75 kB | Adobe PDF | View/Open |
02_certificates.pdf | 77.38 kB | Adobe PDF | View/Open | |
03_contents.pdf | 106.01 kB | Adobe PDF | View/Open | |
04_abstract.pdf | 887.53 kB | Adobe PDF | View/Open | |
05_acknowledgement.pdf | 65.83 kB | Adobe PDF | View/Open | |
06_chapter1.pdf | 177.26 kB | Adobe PDF | View/Open | |
07_chapter2.pdf | 248.93 kB | Adobe PDF | View/Open | |
08_chapter3.pdf | 240.41 kB | Adobe PDF | View/Open | |
09_chapter4.pdf | 252.04 kB | Adobe PDF | View/Open | |
10_chapter5.pdf | 309.45 kB | Adobe PDF | View/Open | |
11_chapter6.pdf | 156.85 kB | Adobe PDF | View/Open | |
12_bibliography.pdf | 137.85 kB | Adobe PDF | View/Open | |
13_appendix.pdf | 5.26 MB | Adobe PDF | View/Open | |
80_recommendation.pdf | 844.9 kB | Adobe PDF | View/Open |
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