PHYS40682 10 Semester 2 Undergraduate Level 4 Mrinal Dasgupta Unit coordinator Department of Physics & Astronomy 1 FHEQ level (Framework for Higher Education Qualifications) ' Masters/Integrated Masters P4 ' European Credit Transfer & Accumulation System Rating : 5.0 <p>Gauge Theories (M)</p> <p>Gauge Theories (M)</p> <p>To understand in detail the origin and nature of the fundamental interactions generated by invariance of the Lagrangian under local gauge transformations.</p> <p>On completion successful students will be able to:</p><p><br/>1. use concepts of a Lie Algebra and Lie Groups in explaining symmetry properties in physics<br/>2. use the principle of gauge invariance and generalize it from the Abelian theory of Quantum Electrodynamics to the non-Abelian cases of Quantum Chromodynamics and the Standard<br/>Model (SM) of electroweak interactions<br/>3. describe in detail the Higgs mechanism as a means to generate masses for the SM fermions, gauge bosons, and the observed Higgs boson, as well as the role of Yukawa interactions in explaining lepton- and quark-mixing phenomena in electroweak processes<br/>4. explain the ideas and concepts involved in the motivation and construction of theories beyond the SM, including Grand Unified Theories</p> <p>1. &nbsp; Preliminaries &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(2 lectures)&nbsp;<br/>Abelian gauge invariance, Quantum Electrodynamics (QED);<br/>QED Feynman rules. &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<br/><br/>2. &nbsp; &nbsp;Group Theory &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (4 lectures)<br/>&nbsp;Lie groups; SO(N) and SU(N) Groups; &nbsp;Group representations<br/>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;<br/>3. Quantum Chromodynamics (QCD) &nbsp; &nbsp; &nbsp; &nbsp;(6 lectures)<br/>Non-Abelian gauge invariance; Fadeev-Popov Ghosts;<br/>Becchi-Rouet-Stora Transformations; QCD Fenyman Rules;<br/>Asymptotic Freedom and Confinement.<br/>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<br/>4. &nbsp; The Standard Model (SM) of Electroweak Interactions &nbsp; &nbsp; (8 lectures)<br/>Goldstone Theorem; Higgs Mechanism; Yukawa Interactions; Quark and Lepton Mixing;<br/>SM Feynam Rules, Unitarity and renormalizability of the SM.</p><p><br/>5. &nbsp; Beyond the Standard Model &nbsp; &nbsp; &nbsp; &nbsp;(4 lectures)<br/>Grand Unification and Supersymmetry</p> 1 Written exam 100% <p>Feedback will be available on students’ individual written solutions to examples sheets, which will be marked, and model answers will be issued.</p> PHYS30441 Electrodynamics (M) Pre-Requisite Compulsory PHYS40481 Quantum Field Theory (M) Pre-Requisite Compulsory N <p>Cheng T. P. and Li L. F., Gauge Theory of Elementary Particle Physics, Oxford University Press, 1984.<br/>Peskin M. E. and Schroeder D. V., Quantum Field Theory, Perseus Books Group, 1995.<br/>Pokorski S., Gauge Field Theories, Cambridge University Press, 2000, Second Edition.</p> Assessment written exam 2 Lectures 24 0 74