Modified 2D Proca Theory: Revisited under BRST and (Anti-)chiral Superfield Formalisms
Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) approach, we discuss mainly the fermionic (i.e., off-shell nilpotent) (anti-)BRST, (anti-)co-BRST, and some discrete dual symmetries of the appropriate Lagrangian densities for a two (1+1)-dimensional (2D) modified Proca (i.e., a massive Abeli...
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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/10.1155/2020/3495168 |
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| author | B. Chauhan S. Kumar A. Tripathi R. P. Malik |
| author_facet | B. Chauhan S. Kumar A. Tripathi R. P. Malik |
| author_sort | B. Chauhan |
| collection | DOAJ |
| description | Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) approach, we discuss mainly the fermionic (i.e., off-shell nilpotent) (anti-)BRST, (anti-)co-BRST, and some discrete dual symmetries of the appropriate Lagrangian densities for a two (1+1)-dimensional (2D) modified Proca (i.e., a massive Abelian 1-form) theory without any interaction with matter fields. One of the novel observations of our present investigation is the existence of some kinds of restrictions in the case of our present Stückelberg-modified version of the 2D Proca theory which is not like the standard Curci-Ferrari (CF) condition of a non-Abelian 1-form gauge theory. Some kinds of similarities and a few differences between them have been pointed out in our present investigation. To establish the sanctity of the above off-shell nilpotent (anti-)BRST and (anti-)co-BRST symmetries, we derive them by using our newly proposed (anti-)chiral superfield formalism where a few specific and appropriate sets of invariant quantities play a decisive role. We express the (anti-)BRST and (anti-)co-BRST conserved charges in terms of the superfields that are obtained after the applications of (anti-)BRST and (anti-)co-BRST invariant restrictions and prove their off-shell nilpotency and absolute anticommutativity properties, too. Finally, we make some comments on (i) the novelty of our restrictions/obstructions and (ii) the physics behind the negative kinetic term associated with the pseudoscalar field of our present theory. |
| format | Article |
| id | doaj-art-b6d7fe231b204e6991e2c847e4a39508 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b6d7fe231b204e6991e2c847e4a395082025-08-20T03:39:31ZengWileyAdvances in High Energy Physics1687-73571687-73652020-01-01202010.1155/2020/34951683495168Modified 2D Proca Theory: Revisited under BRST and (Anti-)chiral Superfield FormalismsB. Chauhan0S. Kumar1A. Tripathi2R. P. Malik3Physics Department, Center of Advance Studies, Institute of Science, Banaras Hindu University, Varanasi, 221 005 U.P., IndiaPhysics Department, Center of Advance Studies, Institute of Science, Banaras Hindu University, Varanasi, 221 005 U.P., IndiaPhysics Department, Center of Advance Studies, Institute of Science, Banaras Hindu University, Varanasi, 221 005 U.P., IndiaPhysics Department, Center of Advance Studies, Institute of Science, Banaras Hindu University, Varanasi, 221 005 U.P., IndiaWithin the framework of Becchi-Rouet-Stora-Tyutin (BRST) approach, we discuss mainly the fermionic (i.e., off-shell nilpotent) (anti-)BRST, (anti-)co-BRST, and some discrete dual symmetries of the appropriate Lagrangian densities for a two (1+1)-dimensional (2D) modified Proca (i.e., a massive Abelian 1-form) theory without any interaction with matter fields. One of the novel observations of our present investigation is the existence of some kinds of restrictions in the case of our present Stückelberg-modified version of the 2D Proca theory which is not like the standard Curci-Ferrari (CF) condition of a non-Abelian 1-form gauge theory. Some kinds of similarities and a few differences between them have been pointed out in our present investigation. To establish the sanctity of the above off-shell nilpotent (anti-)BRST and (anti-)co-BRST symmetries, we derive them by using our newly proposed (anti-)chiral superfield formalism where a few specific and appropriate sets of invariant quantities play a decisive role. We express the (anti-)BRST and (anti-)co-BRST conserved charges in terms of the superfields that are obtained after the applications of (anti-)BRST and (anti-)co-BRST invariant restrictions and prove their off-shell nilpotency and absolute anticommutativity properties, too. Finally, we make some comments on (i) the novelty of our restrictions/obstructions and (ii) the physics behind the negative kinetic term associated with the pseudoscalar field of our present theory.http://dx.doi.org/10.1155/2020/3495168 |
| spellingShingle | B. Chauhan S. Kumar A. Tripathi R. P. Malik Modified 2D Proca Theory: Revisited under BRST and (Anti-)chiral Superfield Formalisms Advances in High Energy Physics |
| title | Modified 2D Proca Theory: Revisited under BRST and (Anti-)chiral Superfield Formalisms |
| title_full | Modified 2D Proca Theory: Revisited under BRST and (Anti-)chiral Superfield Formalisms |
| title_fullStr | Modified 2D Proca Theory: Revisited under BRST and (Anti-)chiral Superfield Formalisms |
| title_full_unstemmed | Modified 2D Proca Theory: Revisited under BRST and (Anti-)chiral Superfield Formalisms |
| title_short | Modified 2D Proca Theory: Revisited under BRST and (Anti-)chiral Superfield Formalisms |
| title_sort | modified 2d proca theory revisited under brst and anti chiral superfield formalisms |
| url | http://dx.doi.org/10.1155/2020/3495168 |
| work_keys_str_mv | AT bchauhan modified2dprocatheoryrevisitedunderbrstandantichiralsuperfieldformalisms AT skumar modified2dprocatheoryrevisitedunderbrstandantichiralsuperfieldformalisms AT atripathi modified2dprocatheoryrevisitedunderbrstandantichiralsuperfieldformalisms AT rpmalik modified2dprocatheoryrevisitedunderbrstandantichiralsuperfieldformalisms |