A Novel Algebraic System in Quantum Field Theory

An algebraic system is introduced which is very useful for performing scattering calculations in quantum field theory. It is the set of all real numbers greater than or equal to −<i>m</i><sup>2</sup> with parity designation and a special rule for addition and subtraction, whe...

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Main Authors: Abdulaziz D. Alhaidari, Abdallah Laradji
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:AppliedMath
Subjects:
Online Access:https://www.mdpi.com/2673-9909/3/2/24
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author Abdulaziz D. Alhaidari
Abdallah Laradji
author_facet Abdulaziz D. Alhaidari
Abdallah Laradji
author_sort Abdulaziz D. Alhaidari
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description An algebraic system is introduced which is very useful for performing scattering calculations in quantum field theory. It is the set of all real numbers greater than or equal to −<i>m</i><sup>2</sup> with parity designation and a special rule for addition and subtraction, where <i>m</i> is the rest mass of the scattered particle.
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spelling doaj.art-e6ba8b23af8b4e9290338997b74898012023-11-18T09:04:53ZengMDPI AGAppliedMath2673-99092023-05-013246146710.3390/appliedmath3020024A Novel Algebraic System in Quantum Field TheoryAbdulaziz D. Alhaidari0Abdallah Laradji1Saudi Center for Theoretical Physics, P.O. Box 32741, Jeddah 21438, Saudi ArabiaDepartment of Mathematics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi ArabiaAn algebraic system is introduced which is very useful for performing scattering calculations in quantum field theory. It is the set of all real numbers greater than or equal to −<i>m</i><sup>2</sup> with parity designation and a special rule for addition and subtraction, where <i>m</i> is the rest mass of the scattered particle.https://www.mdpi.com/2673-9909/3/2/24algebraic systemparityfieldsaddition and subtraction rulesspectral parametersFeynman diagrams
spellingShingle Abdulaziz D. Alhaidari
Abdallah Laradji
A Novel Algebraic System in Quantum Field Theory
AppliedMath
algebraic system
parity
fields
addition and subtraction rules
spectral parameters
Feynman diagrams
title A Novel Algebraic System in Quantum Field Theory
title_full A Novel Algebraic System in Quantum Field Theory
title_fullStr A Novel Algebraic System in Quantum Field Theory
title_full_unstemmed A Novel Algebraic System in Quantum Field Theory
title_short A Novel Algebraic System in Quantum Field Theory
title_sort novel algebraic system in quantum field theory
topic algebraic system
parity
fields
addition and subtraction rules
spectral parameters
Feynman diagrams
url https://www.mdpi.com/2673-9909/3/2/24
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