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- W2098381630 abstract "We construct a quantum theory of free scalar fields in (1+1)-dimensions based on the deformed Heisenberg algebra<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mfenced open=[ close=] separators=|><mml:mrow><mml:mover accent=true><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mo>^</mml:mo></mml:mover><mml:mo>,</mml:mo><mml:mover accent=true><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mo>^</mml:mo></mml:mover></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mi>i</mml:mi><mml:mi>ħ</mml:mi><mml:mfenced separators=|><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>β</mml:mi><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mn>2</mml:mn><mml:msup><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mfenced></mml:math>, that admits the existence of both a minimal measurable length and a maximal momentum, where<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:mi>β</mml:mi></mml:mrow></mml:math>is a deformation parameter. We consider both canonical and path integral formalisms of the scenario. Finally a higher dimensional extension is easily performed in the path integral formalism." @default.
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- W2098381630 date "2012-01-01" @default.
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- W2098381630 title "Quantization of Free Scalar Fields in the Presence of Natural Cutoffs" @default.
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- W2098381630 doi "https://doi.org/10.1155/2012/201856" @default.
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