Study of some Quantum Field Theoretical models based on Dirac Quantization - Softcover

Yasmin, Safia

Softcover

ISBN 10: 6138946863 ISBN 13: 9786138946861

Verlag: Scholars' Press, 2021

Inhaltsangabe

A Lagrangian is said to be singular when det[ ∂2L∂q˙i∂q˙j] = 0, and that signifies the presence of constraint in the usual phase space [1, 2]. Constraint means velocity independent relation between coordinate and momentum[1, 2, 3, 4]. So all the velocities of the dynamical variables of a theory cannot be determined in terms of momenta and as a result the precise canonical quantization gets threatened when a system contains constraints in its phase space. So quantization of this type of system is interesting in its own right and this type of quantization is known as Dirac scheme of quantization of constraint system. The canonical method of quantization requires the determination of momenta corresponding to the different field variables.As usual, A0 has no canonical conjugate, so there is a primary constraintπ0 = 0. To preserve this constraint in time, it is necessary to have a further constraint, and this preservation may give Gausss law. If the theory is anomaly free then no further constraint arises, and the above two constraints have vanishing Poisson brackets, i.e., are first class.

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Über die Autorin bzw. den Autor

Dr. Safia Yasmin is an Assistant Professor of Indas Mahavidyalaya, Indas, Bankura, West Bengal, India, since 2006. She is a former Research scholar of the National Physical Laboratory,  New Delhi,  Pusa. Now Dr. Yasmin is continuing her research work in high energy physics (Theory). She completed her PhD studies in 2018.

Details zur Ausgabe

• Verlag: Scholars' Press
• Erscheinungsdatum: 2021
• Sprache: Englisch
• ISBN 10: 6138946863
• ISBN 13: 9786138946861
• Einband: Taschenbuch
• Anzahl der Seiten: 60
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: AV Akademikerverlag; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland