Search
This Journal
This Journal
Anywhere
Quick Search in Journals
Enter words / phrases / DOI / ISBN / keywords / authors / etc
Access type:Only show content I have full access toOnly show Open Access
Advanced Search
0 My Cart
Sign in
Institutional Access

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Research PapersNo Access

NILPOTENT SYMMETRY INVARIANCE IN THE SUPERFIELD FORMULATION: THE (NON-)ABELIAN 1-FORM GAUGE THEORIES

R. P. MALIK

Centre of Advanced Studies, Physics Department, Banaras Hindu University, Varanasi – 221 005, India

Search for more papers by this author

https://doi.org/10.1142/S0217751X08041591Cited by:6 (Source: Crossref)

Abstract

We capture the off-shell as well as the on-shell nilpotent Becchi–Rouet–Stora–Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian densities of the four (3+1)-dimensional (4D) (non-)Abelian 1-form gauge theories within the framework of the superfield formalism. In particular, we provide the geometrical interpretations for (i) the above nilpotent symmetry invariance, and (ii) the above Lagrangian densities, in the language of the specific quantities defined in the domain of the above superfield formalism. Some of the subtle points, connected with the 4D (non-)Abelian 1-form gauge theories, are clarified within the framework of the above superfield formalism where the 4D ordinary gauge theories are considered on the (4, 2)-dimensional supermanifold parametrized by the four space–time coordinates x^μ (with μ = 0, 1, 2, 3) and a pair of Grassmannian variables θ and . One of the key results of our present investigation is a great deal of simplification in the geometrical understanding of the nilpotent (anti-)BRST symmetry invariance.

Keywords:

PACS: 11.15.-q, 12.20.-m, 03.70.+k

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

J. Thierry-Mieg, J. Math. Phys. 21, 2834 (1980), DOI: 10.1063/1.524385. Web of Science, Google Scholar
J. Thierry-Mieg, Nuovo Cimento A 56, 396 (1980), DOI: 10.1007/BF02732091. Web of Science, ADS, Google Scholar
M. Quiroset al., J. Math. Phys. 22, 1767 (1981), DOI: 10.1063/1.525123. Web of Science, ADS, Google Scholar
L. Bonora and M. Tonin, Phys. Lett. B 98, 48 (1981). Web of Science, ADS, Google Scholar
L. Bonora, P. Pasti and M. Tonin, Nuovo Cimento A 63, 353 (1981), DOI: 10.1007/BF02772516. Web of Science, ADS, Google Scholar
R. Delbourgo and P. D. Jarvis, J. Phys. A: Math. Gen. 15, 611 (1981), DOI: 10.1088/0305-4470/15/2/028. ADS, Google Scholar
R. Delbourgo, P. D. Jarvis and G. Thompson, Phys. Lett. B 109, 25 (1982). Web of Science, ADS, Google Scholar
D. S. Hwang and C.-Y. Lee, J. Math. Phys. 38, 30 (1997), DOI: 10.1063/1.532005. Web of Science, ADS, Google Scholar
N. Nakanishi and I. Ojima , Covariant Operator Formalism of Gauge Theories and Quantum Gravity ( World Scientific , Singapore , 1990 ) . Link, Google Scholar
R. P. Malik, Phys. Lett. B 584, 210 (2004), arXiv:hep-th/0311001. Web of Science, ADS, Google Scholar
R. P. Malik, Int. J. Geom. Methods Mod. Phys. 1, 467 (2004), arXiv:hep-th/0403230 DOI: 10.1142/S0219887804000241. Link, Web of Science, Google Scholar
R. P. Malik, J. Phys. A: Math. Gen. 37, 5261 (2004), arXiv:hep-th/031193 DOI: 10.1088/0305-4470/37/19/013. ADS, Google Scholar
R. P. Malik, Int. J. Mod. Phys. A 20, 4899 (2005), arXiv:hep-th/0402005 DOI: 10.1142/S0217751X05022354. Link, Web of Science, ADS, Google Scholar
R. P. Malik, Mod. Phys. Lett. A 20, 1667 (2005), arXiv:hep-th/0402123 DOI: 10.1142/S0217732305017500. Google Scholar
R. P. Malik, Eur. Phys. J. C 45, 513 (2006), arXiv:hep-th/0506109 DOI: 10.1140/epjc/s2005-02425-4. Web of Science, ADS, Google Scholar
R. P. Malik and B. P. Mandal, Eur. Phys. J. C 47, 219 (2006), arXiv:hep-th/0512334 DOI: 10.1140/epjc/s2006-02542-6. Web of Science, ADS, Google Scholar
R. P. Malik, Eur. Phys. J. C 47, 227 (2006), arXiv:hep-th/0507127 DOI: 10.1140/epjc/s2006-02540-8. Web of Science, ADS, Google Scholar
R. P. Malik, J. Phys. A: Math. Gen. 39, 10575 (2006), arXiv:hep-th/0510164 DOI: 10.1088/0305-4470/39/33/023. Google Scholar
R. P. Malik, Eur. Phys. J. C 51, 169 (2007), arXiv:hep-th/0603049 DOI: 10.1140/epjc/s10052-007-0282-y. Web of Science, ADS, Google Scholar
R. P. Malik, J. Phys. A: Math. Theor. 40, 4877 (2007), arXiv:hep-th/0605213 DOI: 10.1088/1751-8113/40/18/013. Web of Science, ADS, Google Scholar
R. P. Malik, J. Phys. A: Math. Gen. 33, 2437 (2000), arXiv:hep-th/9902146 DOI: 10.1088/0305-4470/33/12/310. ADS, Google Scholar
R. P. Malik, J. Phys. A: Math. Gen. 34, 4167 (2001), arXiv:hep-th/0012085 DOI: 10.1088/0305-4470/34/19/314. ADS, Google Scholar
R. P. Malik, Ann. Phys. (N.Y.) 307, 01 (2003), arXiv:hep-th/0205135 DOI: 10.1016/S0003-4916(03)00083-6. Web of Science, ADS, Google Scholar
R. P. Malik, J. Phys. A: Math. Gen. 35, 6919 (2002), arXiv:hep-th/0112260 DOI: 10.1088/0305-4470/35/32/311. ADS, Google Scholar
R. P. Malik, J. Phys. A: Math. Gen. 35, 8817 (2002), arXiv:hep-th/0204015 DOI: 10.1088/0305-4470/35/41/313. Google Scholar
K. Nishijima, Czech. J. Phys. 46, 01 (1996), DOI: 10.1007/BF01692238. ADS, Google Scholar
S. Weinberg , The Quantum Theory of Fields: Modern Applications 2 ( Cambridge University Press , Cambridge , 1996 ) . Google Scholar
G. Curci and R. Ferrari, Phys. Lett. B 63, 51 (1976). Web of Science, Google Scholar
G. Curci and R. Ferrari, Nuovo Cimento A 32, 151 (1976), DOI: 10.1007/BF02729999. Web of Science, ADS, Google Scholar
R. P. Malik, Nilpotent symmetry invariance in QED with Dirac fields: Superfield formalism , arXiv:0706.4168 . Google Scholar
R. P. Malik and B. P. Mandal, Superfield approach to the nilpotent symmetry invariance in the non-Abelian 1-form gauge theory , arXiv:0709.2277 . Google Scholar
R. P. Malik and B. P. Mandal, Nilpotent symmetry invariance in QED with complex scalar fields: Augmented superfield formalism , arXiv:0711.2389 . Google Scholar
E. Harikumar, R. P. Malik and M. Sivakumar, J. Phys. A: Math. Gen. 33, 7149 (2000), arXiv:hep-th/0004145 DOI: 10.1088/0305-4470/33/40/312. ADS, Google Scholar
R. P. Malik, Int. J. Mod. Phys. A 19, 5663 (2004), arXiv:hep-th/0212240 DOI: 10.1142/S0217751X04018361. Link, Web of Science, ADS, Google Scholar
R. P. Malik, J. Phys. A: Math. Gen. 36, 5056 (2003), arXiv:hep-th/0209136 DOI: 10.1088/0305-4470/36/18/314. Google Scholar
R. P. Malik, Superfield approach to nilpotent (anti-)BRST symmetries for the free Abelian 2-form gauge theory , arXiv:hep-th/0702039 . Google Scholar
R. P. Malik, in preparation . Google Scholar

Journal cover image

Vol. 23, No. 22

Metrics

Downloaded 16 times

History

Received 29 January 2008

Revised 16 May 2008

Keywords