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Summer Research Fellowship Programme of India's Science Academies

Elementary Aspects of Symmetries & Conservation Laws in Particle Physics

Abhijith A

Kuriakose Elias College, Mannanam P.O, Kottayam, Kerala 686561

Dr. Pankaj Agrawal

Institute of Physics, Sainik School P.O, Bhubaneswar 751005

Abstract

Particle physics is one of the frontiers in the world of physics which gives breakthrough results that have the capability to change the entire prospect of mankind. Symmetry considerations is an important tool to understand the behaviour of elementary particles and to explore them. While some of them give exact ways to proceed further, some others give us a way to study the interactions and properties through symmetry breaking. The quantum numbers that summarize the intrinsic properties of the particles are implications of some underlying symmetries. When the properties of a system are invariant under a set of transformations, we say that the system has a set of symmetries. Symmetries are usually associated with conservation laws. Symmetries can be either discrete or continuous. In the case of continuous symmetries, Noether’s theorem relates symmetry transformation to conservation laws. Spatial Parity, Charge parity, time reversal and the various unitary symmetries like U1, SU2, SU3, SUn etc. have serious consequences in the world of physics. This project is about the elementary studies of the above symmetries and their implications in the context of particle physics.

Keywords: Noether’s theorem, discrete symmetries, unitary symmetries, Spatial Parity, Charge parity, Time reversal, U1, SU2, SU3, SUn

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