Module Details

The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title INTRODUCTION TO MODERN PARTICLE THEORY
Code MATH431
Coordinator Dr SL Parameswaran
Mathematical Sciences
Susha.Parameswaran@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2023-24 Level 7 FHEQ Second Semester 15

Aims

To provide a broad understanding of the current status of elementary particle theory. To describe the structure of the Standard Model of particle physics and its embedding in Grand Unified Theories.


Learning Outcomes

(LO1) To understand the Lorentz and Poincare groups and their role in classification of elementary particles.

(LO2) To understand the basics of Langrangian and Hamiltonian dynamics and the differential equations of bosonic and fermionic wave functions.

(LO3) To understand the basic elements of field quantisation.

(LO4) To understand the Feynman diagram pictorial representation of particle interactions.

(LO5) To understand the role of symmetries and conservation laws in distinguishing the strong, weak and electromagnetic interactions.

(LO6) To be able to describe the spectrum and interactions of elementary particles and their embedding into Grand Unified Theories (GUTs)

(LO7) To understand the flavour structure of the standard particle model and generation of mass through symmetry breaking.

(LO8) To understand the phenomenological aspects of Grand Unified Theories.

(S1) Problem solving skills


Syllabus

 

Classical mechanics in Lagrange and Hamilton form; Lorentz and Poincare group; elements of quantum mechanics: Klein-Gordon equation, Dirac equation; basic elements of field theory: Field quantization, Feynman diagrams; global, and local symmetries, gauge bosons; classification of elementary particles: charge, spin, mass, Isospin; Unitary groups; The quark model of Gellman and Zweig; beta decay and weak interactions; global and local symmetry breaking; Higgs mechanism; outlook onto extensions of the standard model; Pati-Salam, SU(5) and SO(10) Grand Unified Theories; phenomenological aspects of GUTs;


Recommended Texts

Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):

MATH101 Calculus I 2020-21; MATH102 CALCULUS II 2020-21; MATH103 Introduction to Linear Algebra 2020-21; MATH325 QUANTUM MECHANICS 2022-23 

Co-requisite modules:

 

Modules for which this module is a pre-requisite:

 

Programme(s) (including Year of Study) to which this module is available on a required basis:

 

Programme(s) (including Year of Study) to which this module is available on an optional basis:

 

Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
final assessment There is a resit opportunity.  120    70       
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Homework 1    15       
Homework 2    15