Quantization of RxS3 Topological Klein-Gordon Field Theory

Authors

  • Omprakash Atale  Khandesh College Education Society's, Moolji Jaitha College, An Autonomous College Affiliated to K.B.C. North Maharashtra University, Jalgaon, Maharashtra, India

DOI:

https://doi.org/10.32628/IJSRST229136

Keywords:

Klein-Gordon scalar field, Quantization, RxS3 topology

Abstract

In this paper, we have portrayed scalar and complex Klein-Gordon field theory on RxS3 topological space. The corresponding Klein-Gordon equation was established by M. Carmeli in October 1983. The field theory is formulated using differential operators defined on S3 topology instead of ordinary Cartesian operators. Furthermore, we have quantized the theory and commutation relations along with the Hamiltonian for the theory are derived.

References

  1. Carmeli, M. Field theory on—S 3 topology. I : The Klein-Gordon and Schrodinger equations. Found Phys 15, 175–184 (1985).
  2. Carmeli, M., Malin, S. Field theory on—S 3 topology. II: The Weyl equation. Found Phys 15, 185–191 (1985).
  3. Carmeli, M., Malin, S. Field theory on—S 3 topology. III: The Dirac equation. Found Phys 15, 1019–1029 (1985).
  4. Carmeli, M., Malin, S. Field theory on—S 3 topology. IV: Electrodynamics of magnetic moments. Found Phys 16, 791–806 (1986).
  5. Carmeli, M., Malin, S. Field theory on—S 3 topology. V:SU 2 gauge theory. Found Phys 17, 193–200 (1987).
  6. Carmeli, M., Malin, S. Field theory on—S 3 topology. VI: Gravitation. Found Phys 17, 407–417 (1987).
  7. Carmeli, M., Malka, A. Field theory on—S 3 topology: Lagrangian formulation. Found Phys 20, 71–110 (1990).
  8. A. Das, Lectures on quantum field theory, World Scientific Publishing, 2008.

International Journal of Scientific Research in Science and Technology

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Published

2022-02-28

Issue

Volume 9, Issue 1, January-February-2022

Section

Research Articles

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How to Cite

[1]
Omprakash Atale "Quantization of RxS3 Topological Klein-Gordon Field Theory" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 9, Issue 1, pp.206-217, January-February-2022. Available at doi : https://doi.org/10.32628/IJSRST229136