A Gauge Theory for Extra Dimension Detecting by Point Particle

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Ghahreman Zahra; Dehghani Mehdi; Monemzadeh Majid

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Mathematics Interdisciplinary Research Year:2024 | Volume:9 | Issue:1 Page(s): 77-88

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Information Journal Paper

Title

A Gauge Theory for Extra Dimension Detecting by Point Particle

Author(s)

Ghahreman Zahra | Dehghani Mehdi | Monemzadeh Majid | Issue Writer Certificate

Keywords

Gauge‎

‎Extra dimension‎

‎Second-class‎

‎Symplectic embedding‎

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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