A Gauge Theory for Extra Dimension Detecting by Point Particle

Document Type : Original Scientific Paper

Authors

1 ‎Department of Physics‎, ‎‎University of Kashan, ‎Kashan‎, ‎I‎. ‎R‎. ‎Iran

2 ‎Department of Physics‎, ‎Faculty of Science, ‎Shahrekord University, ‎Shahrekord‎, ‎I‎. ‎R‎. ‎Iran

Abstract

‎From the viewpoint of‎ "‎extra dimension detecting,‎" ‎the phenomenon of the transition of the free point particle into 3d space is investigated‎. ‎In this way‎, ‎we formulate the problem using the second-class constrained system‎. ‎To investigate it using a gauge theoretical approach‎, ‎we use two methods to convert its two second-class constraints to first-class ones‎. ‎In symplectic embedding‎, ‎we construct a pair of scaler and vector gauge potentials‎, ‎which can be interpreted as interactions for detecting extra dimensions‎. ‎A Wess-Zumino variable appears as a new coordinate in potentials‎, ‎and the particle's mass plays the role of a globally conserved charge related to the constructed gauge theory for extra dimensions‎.

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References

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Mathematics Interdisciplinary Research
Volume 9, Issue 1
March 2024
Pages 77-88

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