Rotationally Symmetric Yang-Mills Gauge Theory and Generalized Uncertainty Principle
DOI:
https://doi.org/10.48048/tis.2022.2499Keywords:
Quantum field theory, Minimal length, Schrodinger’s equation, Dirac’s equation, Klein-Gordon equationAbstract
Recently, it has been of considerably high interest to introduce the notion of minimal length in quantum mechanics and quantum field theories to get a proper description of quantum gravity. In this paper, we have attempted to unify the notion of minimal length with R×S^3 topological field theories which were introduced by Carmeli and Malin in 1985 [14]. We have collectively called this (R×S^3 )_H topological field theories where the “H” in the sub-script stands for Heisenberg’s notion of minimal length. A proper description for equations like Schrodinger’s equation, Klein-Gordon equation and QED, QCD Lagrangian on (R×S^3 )_H topology is derived.
HIGHLIGHTS
- It has been of considerably high interest to incorporate existing theories with the notion of minimal length because it is thought to unify theories at large scale with the quantum world
- In this paper, we have done a similar unification by incorporating Rotaionally symmetric field theories with the notion of minimal length
- The derived equations work consistently under local and global gauge transformations
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