Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches
We discuss the continuous and infinitesimal gauge, supergauge, reparameterization, nilpotent Becchi-Rouet-Stora-Tyutin (BRST), and anti-BRST symmetries and derive corresponding nilpotent charges for the one 0+1-dimensional (1D) massive model of a spinning relativistic particle. We exploit the theore...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/1236518 |
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| author | A. Tripathi B. Chauhan A. K. Rao R. P. Malik |
| author_facet | A. Tripathi B. Chauhan A. K. Rao R. P. Malik |
| author_sort | A. Tripathi |
| collection | DOAJ |
| description | We discuss the continuous and infinitesimal gauge, supergauge, reparameterization, nilpotent Becchi-Rouet-Stora-Tyutin (BRST), and anti-BRST symmetries and derive corresponding nilpotent charges for the one 0+1-dimensional (1D) massive model of a spinning relativistic particle. We exploit the theoretical potential and power of the BRST and supervariable approaches to derive the (anti-)BRST symmetries and coupled (but equivalent) Lagrangians for this system. In particular, we capture the off-shell nilpotency and absolute anticommutativity of the conserved (anti-)BRST charges within the framework of the newly proposed (anti-)chiral supervariable approach (ACSA) to BRST formalism where only the (anti-)chiral supervariables (and their suitable super expansions) are taken into account along the Grassmannian direction(s). One of the novel observations of our present investigation is the derivation of the Curci-Ferrari- (CF-) type restriction by the requirement of the absolute anticommutativity of the (anti-)BRST charges in the ordinary space. We obtain the same restriction within the framework of ACSA to BRST formalism by (i) the symmetry invariance of the coupled Lagrangians and (ii) the proof of the absolute anticommutativity of the conserved and nilpotent (anti-)BRST charges. The observation of the anticommutativity property of the (anti-)BRST charges is a novel result in view of the fact that we have taken into account only the (anti-)chiral super expansions. |
| format | Article |
| id | doaj-art-11576113d2394f7ebe0447393230abad |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
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| series | Advances in High Energy Physics |
| spelling | doaj-art-11576113d2394f7ebe0447393230abad2025-02-03T01:01:54ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/12365181236518Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable ApproachesA. Tripathi0B. Chauhan1A. K. Rao2R. P. Malik3Physics Department, Institute of Science, Banaras Hindu University, Varanasi 221 005, IndiaPhysics Department, Institute of Science, Banaras Hindu University, Varanasi 221 005, IndiaPhysics Department, Institute of Science, Banaras Hindu University, Varanasi 221 005, IndiaPhysics Department, Institute of Science, Banaras Hindu University, Varanasi 221 005, IndiaWe discuss the continuous and infinitesimal gauge, supergauge, reparameterization, nilpotent Becchi-Rouet-Stora-Tyutin (BRST), and anti-BRST symmetries and derive corresponding nilpotent charges for the one 0+1-dimensional (1D) massive model of a spinning relativistic particle. We exploit the theoretical potential and power of the BRST and supervariable approaches to derive the (anti-)BRST symmetries and coupled (but equivalent) Lagrangians for this system. In particular, we capture the off-shell nilpotency and absolute anticommutativity of the conserved (anti-)BRST charges within the framework of the newly proposed (anti-)chiral supervariable approach (ACSA) to BRST formalism where only the (anti-)chiral supervariables (and their suitable super expansions) are taken into account along the Grassmannian direction(s). One of the novel observations of our present investigation is the derivation of the Curci-Ferrari- (CF-) type restriction by the requirement of the absolute anticommutativity of the (anti-)BRST charges in the ordinary space. We obtain the same restriction within the framework of ACSA to BRST formalism by (i) the symmetry invariance of the coupled Lagrangians and (ii) the proof of the absolute anticommutativity of the conserved and nilpotent (anti-)BRST charges. The observation of the anticommutativity property of the (anti-)BRST charges is a novel result in view of the fact that we have taken into account only the (anti-)chiral super expansions.http://dx.doi.org/10.1155/2020/1236518 |
| spellingShingle | A. Tripathi B. Chauhan A. K. Rao R. P. Malik Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches Advances in High Energy Physics |
| title | Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches |
| title_full | Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches |
| title_fullStr | Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches |
| title_full_unstemmed | Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches |
| title_short | Massive Spinning Relativistic Particle: Revisited under BRST and Supervariable Approaches |
| title_sort | massive spinning relativistic particle revisited under brst and supervariable approaches |
| url | http://dx.doi.org/10.1155/2020/1236518 |
| work_keys_str_mv | AT atripathi massivespinningrelativisticparticlerevisitedunderbrstandsupervariableapproaches AT bchauhan massivespinningrelativisticparticlerevisitedunderbrstandsupervariableapproaches AT akrao massivespinningrelativisticparticlerevisitedunderbrstandsupervariableapproaches AT rpmalik massivespinningrelativisticparticlerevisitedunderbrstandsupervariableapproaches |