scholarly journals Erratum: Path-integral action of a particle with the generalized uncertainty principle and correspondence with noncommutativity [Phys. Rev. D 99 , 104010 (2019)]

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Sunandan Gangopadhyay ◽  
Sukanta Bhattacharyya
Keyword(s):  
Path Integral ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Integral Action

scholarly journals QUANTIZATION OF FIELDS BASED ON GENERALIZED UNCERTAINTY PRINCIPLE

2006 ◽  
Vol 21 (16) ◽  
pp. 1285-1296 ◽  
Author(s):  
TOSHIHIRO MATSUO ◽  
YUUICHIROU SHIBUSA
Keyword(s):  
Quantum Theory ◽  
Scalar Field ◽  
Path Integral ◽  
Uncertainty Principle ◽  
Deformation Parameter ◽  
Generalized Uncertainty Principle ◽  
Heisenberg Algebra ◽  
Integral Formalism ◽  
Higher Dimensional ◽  
Free Scalar

We construct a quantum theory of free scalar field in (1+1) dimensions based on the deformed Heisenberg algebra [Formula: see text] where β is a deformation parameter. Both canonical and path integral formalisms are employed. A higher dimensional extension is easily performed in the path integral formalism.

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