Particle on a torus knot: symplectic analysis
نویسندگان
چکیده
We quantize a particle confined to move on torus knot satisfying constraint condition ( $$p\theta +q\phi ) \approx 0$$ , within the context of geometrically motivated approach—the Faddeev–Jackiw formalism. also deduce spectrum and discern basic brackets theory. further reformulate original gauge non-invariant theory into physically equivalent theory, which is free from any additional Wess–Zumino variables, by employing symplectic invariant In addition, we analyze reformulated framework BRST formalism establish off-shell nilpotent absolutely anti-commuting (anti-)BRST symmetries. Finally, construct conserved charges satisfy physicality criteria turn out be generators corresponding
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ژورنال
عنوان ژورنال: European Physical Journal Plus
سال: 2022
ISSN: ['2190-5444']
DOI: https://doi.org/10.1140/epjp/s13360-022-02699-3