The paper claims a curvature-corrected energy spectrum for a particle on a torus knot, but the central constant identity behind the spectrum is false.
Quantum field theory on toroidal topology: algebraic structure and applications
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abstract
The development of quantum theory on a torus has a long history, and can be traced back to the 1920s, with the attempts by Nordstr\"om, Kaluza and Klein to define a fourth spatial dimension with a finite size, being curved in the form of a torus, such that Einstein and Maxwell equations would be unified. Many developments were carried out considering cosmological problems in association with particles physics, leading to methods that are useful for areas of physics, in which size effects play an important role. This interest in finite size effect systems has been increasing rapidly over the last decades, due principally to experimental improvements. In this review, the foundations of compactified quantum field theory on a torus are presented in a unified way, in order to consider applications in particle and condensed matted physics.
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hep-th 1years
2019 1verdicts
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Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects
The paper claims a curvature-corrected energy spectrum for a particle on a torus knot, but the central constant identity behind the spectrum is false.