University of Kashan Mathematics Interdisciplinary Research 2538-3639 9 1 2024 03 01 A Gauge Theory for Extra Dimension Detecting by Point Particle 77 88 114197 10.22052/mir.2023.252578.1392 EN Zahra Ghahreman ‎Department of Physics‎, ‎‎University of Kashan, ‎Kashan‎, ‎I‎. ‎R‎. ‎Iran 0000-0001-5464-2357 Mehdi Dehghani ‎Department of Physics‎, ‎Faculty of Science, ‎Shahrekord University, ‎Shahrekord‎, ‎I‎. ‎R‎. ‎Iran 0000-0001-5464-2357 Majid Monemzadeh ‎Department of Physics‎, ‎‎University of Kashan, ‎Kashan‎, ‎I‎. ‎R‎. ‎Iran Journal Article 2023 02 25 ‎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. https://mir.kashanu.ac.ir/article_114197_d39ecc9059fb8cda41d1088a69264931.pdf