Lecture courses for TT 2016: Conformal Field Theory Conformal Field Theory [16 hours] area: PT, CM pre-requisite: Quantum Field Theory (MT) syllabus: RG flows and scale invariance. Conformal transformations. Consequence of conformal invariance. Radial quantisation and the operator algebra. Conformal invariance in two dimensions. The Virasoro algebra. Minimal models. Conformal bootstrap in d>2. lecturer: Fernando Alday department: Maths course website: Conformal Field Theory location, times: Mathematical Institute, Wednesdays and Fridays 2–4pm [L6] (weeks 1–4). Introduction to Gauge String Duality Introduction to Gauge String Duality [16 hours] area: PT, CM pre-requisite: Quantum Field Theory (MT) syllabus (written by A. Starinets): Duality in lattice statistical mechanics and quantum filed theory (an overview), black hole thermodynamics and black hole entropy, D-branes, the AdS-CFT correspondence, main recipes of gauge-string duality, gauge-string duality at finite temperature and density, fluid mechanics, black holes and holography, transport in strongly correlated systems from dual gravity, gauge-string duality and condensed matter physics, modern developments. lecturer: Andrei Starinets department: Physics/Maths course website: TBA location, times: Department of Physics, Tuesdays and Wednesdays at 9am [Fisher Room]. Complex Systems Complex Systems [16 hours] area: CM/Astro prequel: Networks (HT) pre-requisite: Statistical Mechanics (MT) or another undergraduate course in Statistical Mechanics. syllabus: Percolation, fractals, self-organised criticality, and power laws. Stochastics and generative models: random walks, preferential attachment, master equations. Dynamical systems on networks: includes models of epidemics, social influence, voter models, etc. and how they are affected by network architecture. Agent-based models. Numerical methods: Monte Carlo, simulated annealing, etc. lecturer: Mason Porter department: Maths course website: Complex Systems location, times: Mathematical Institute, Mondays 2–4pm (weeks 1–3, 5–8), Friday 10am–12noon (week 8) [C4]. String Theory II String Theory II [16 hours] area: PT pre-requisite: String Theory I (HT) syllabus (written by P. Candelas): Superstring action, super-Virasoro algebra, RNS model and GSO projection, physical spectrum, type I, IIA, IIB and heterotic strings, D-branes, string dualities. lecturer: Philip Candelas department: Maths course website: String Theory II location, times: Mathematical Institute, Mondays [C1] and Thursdays [C2], 9–11am (weeks 1–4). The Standard Model The Standard Model [16 hours] area: PT prequel/pre-requisite: Advanced Quantum Field Theory for Particle Physics (HT) syllabus: Part I. Weak interactions, weak decays, non-renormalizable Fermi four-point interactions (violation of unitarity), $SU(2) \times U_Y(1)$ gauge symmetry, spontaneous symmetry breaking (masses of gauge bosons), custodial symmetry and Yukawa masses, axial anomaly cancellation, accidental symmetries, renormalizability and power counting, neutrino masses (see-saw mechanism), Higgs phenomenology, Part II. Strong interaction, $SU(3)$ symmetry, Lagrangian, color identities, beta-function and asymptotic freedom, infrared divergences and infrared safety, $e^+e^-\rightarrow$ hadrons, R-ratio, parton model (failure with radiative corrections), parton distribution functions, dimensional regularisation, subtraction procedures for calculations of cross-sections, hadron collider phenomenology: event shapes, jets, benchmark processes (Drell-Yan, heavy quarks etc.). lecturer: Juan Rojo department: Physics course website: TBA location, times: Department of Physics, Tuesdays and Wednesdays at 10am [Fisher Room] Topics in Quantum Condensed Matter Physics Topics in Quantum Condensed Matter Physics [8 hours] area: CM prequel/pre-requisite: Quantum Condensed Matter Physics II (HT) syllabus: This is a reading course. Under the guidance of the course organiser, students will give presentations based on key papers in quantum condensed matter theory. Some examples of the topics for these presentations are: Kramers-Wannier duality for the Ising model. Feynman's wavefunction approach to superfluid helium. The Haldane conjecture for integer quantum spin chains. Quantum friction. Homotopy and defects. Renormalisation group for Fermi liquids. The Kondo effect and scaling. Fractional statistics. Hartree-Fock and random-phase approximations. lecturer: John Chalker department: Physics course website: TBA location, times: Department of Physics, Wednesdays at 10am [DWB Seminar Room]. Beyond the Standard Model Beyond the Standard Model [16 hours] area: PT prequel/pre-requisite: Advanced Quantum Field Theory for Particle Physics (HT) syllabus: SM precision tests, flavour physics, neutrino physics, strong CP and axions, hierarchy problem, motivations for susy/technicolour/warped extra dimensions and their basic phenomenology, introduction to grand unified theories. lecturer: John March-Russell department: Physics course website: TBA location, times: Department of Physics, Tuesdays and Wednesdays at 11am [Fisher Room]. Collisional Plasma Physics Collisional Plasma Physics [16 hours] area: Astro prequel: Kinetic Theory (MT), Advanced Fluid Dynamics (HT), Collisionless Plasma Physics (HT) syllabus: Collision operators (5 lectures): Fokker-Plank collision operator, conservation properties, entropy, electron-ion and ion-electron collisions, linearized collision operator. Collisional transport (Braginskii equations) (5 lectures): derivation of Spitzer resistivity and electron heat conduction, ion heat conduction and viscosity. Resistive MHD (3 lectures): tearing modes, magnetic reconnection. Introduction to tokamak theory (3 lectures): large-aspect-ratio MHD equilibrium, particle trapping, Pfirsch-Schlueter collision transport regime for electrons. lecturer: Felix Parra-Diaz department: Physics course website: Collisional Plasma Physics location, times: Department of Physics, Mondays 11am-1pm [Fisher Room]. Non-perturbative Methods in Quantum Field Theory Non-perturbative Methods in Quantum Field Theory [16 hours] area: PT prequel/pre-requisite: Advanced Quantum Field Theory for Particle Physics (HT) syllabus: Solitons. Kinks in D=1+1 scalar (Quantum) Field Theory. A no-go theorem and its limitations: vortices in D=2+1 scalar FT (KT phase transition). Vortices in D=2+1 gauge+scalar FT; solitonic `strings' in D=3+1 gauge+scalar FT (Meissner effect and dual-superconductor confinement); textures; domain walls; homotopy groups. Monopoles in the D=3+1 Georgi-Glashow model. Instantons. Tunnelling in D=1+1 Quantum Mechanics. Abelian-Higgs model in D=1+1 FT: the dilute gas approximation, n-vacua and theta-vacua; Wilson loops and linear confinement. SU(2) gauge fields in D=3+1: the dilute gas calculation, n-vacua (Chern-Simons) and theta-vacua, SU(N) and intertwined theta-vacua. Fermions and index theorems; anomalies and chiral symmetry breaking (Banks-Casher), charge fractionalisation, sphalerons and the baryon asymmetry in the Standard Model. Lattice Field Theory: Motivation and applications; gauge fields on a lattice and continuum limit(s); strong coupling calculations; fermions on a lattice; Markovian Monte Carlo: Metropolis, heat bath. Some applications drawn from: lightest glueball masses; the running coupling; large N; non-zero temperature; (near-)conformal field theories. lecturer: Mike Teper department: Physics course website: TBA location, times: Department of Physics, Mondays at 11am and Tuesdays at 2pm [DWB Seminar Room]. Stellar Astrophysics Stellar Astrophysics (continued) [8 hours] area: Astro syllabus: Part II (8 lectures TT): Accretion discs: theory and applications. Accretion disc theory, thin and thick discs; disc instabilities (thermal instability, gravitational instabilities [Toomre criterion]); optically thin advection-dominated flows, super-Eddington accretion; the magnetorotational instability. lecturer: Philipp Podsiadlowski department: Physics course website: offered as part of physics course C1 location, times: Department of Physics, Mondays and Thursdays at 9am [Fisher Room] High Energy Astrophysics High Energy Astrophysics (continued) [8 hours] area: Astro syllabus: Part II (8 lectures TT): Acceleration of ultra relativistic particles; Cherenkov Radiation; Very-high-energy gamma rays and cosmic rays; Milky Way gamma-ray sources; GZK cutoff; Comptonization of the CMBR. lecturer: Garret Cotter department: Physics course website: TBA location, times: Department of Physics, Mondays and Thursdays at 9am [Fisher Room] Astroparticle Physics Astroparticle Physics [16 hours] area: PT/Astro pre-requisite: Quantum Field Theory (MT), General Relativity I (MT) syllabus: The Universe observed, constructing world models, reconstructing our thermal history, decoupling of the cosmic microwave background, primordial nucleosynthesis. Dark matter: astrophysical phenomenology, relic particles, direct and indirect detection. Cosmic particle accelerators, cosmic ray propagation in the Galaxy. The energy frontier: ultrahigh energy cosmic rays and neutrinos. The early Universe: constraints on new physics, baryo/leptogenesis, inflation, the formation of large-scale structure, dark energy. lecturer: Subir Sarkar department: Physics course website: Astroparticle Physics location, times: Department of Physics, Mondays and Thursdays at 10am [Fisher Room]. Quantum Field Theory in Curved Space-Time Quantum Field Theory in Curved Space-Time [16 hours] area: PT/Astro prequel/pre-requisite: Quantum Field Theory (MT), General Relativity I (MT) syllabus: Non-interacting quantum fields in curved space-time (Lagrangians, coupling to gravity, spinors in curved space-time, global hyperbolicity, Green's functions, canonical quantization, choice of vacuum). Quantum fields in Anti de Sitter space. Quantum fields in an expanding universe. Unruh effect. Casimir effect. Black hole thermodynamics. Hawking radiation. Interacting quantum fields in curved space-time. Effective action, heat kernel and renormalization. Holographic principle. lecturer: Christopher Eling department: Physics course website: TBA location, times: Department of Physics, Tuesdays at 12noon and Fridays at 9am [Fisher Room]. Critical Phenomena Critical Phenomena [16 hours] area: CM prequel/pre-requisite: Quantum Field Theory (MT), Statistical Mechanics (MT) syllabus: Phase transitions in simple systems. Mean field theory and its limitations (Landau theory). Basic theory of the RG. Scaling and crossover behaviour. Perturbative RG and the epsilon-expansion. Relation to the field-theoretic RG. Some applications: low-dimensional systems, random magnets, polymer statistics, critical dynamics. lecturer: Paul Fendley department: Physics course website: Paul Fendley location, times: Department of Physics, Thursdays 2-4pm [Fisher Room]. Topics in Soft and Active Matter Physics Topics in Soft and Active Matter Physics [8 hours] area: prequel/pre-requisite: Soft Matter Physics (HT), Advanced Fluid Dynamics (HT). syllabus: This is a reading course. Under the guidance of the course organiser, students will give presentations based on key papers in soft condensed matter theory. Some examples of the topics for these presentations are: Active nematics and active gels. Wetting, spreading and contact line dynamics. Hydrodynamics of microswimmers: Stokes equation, scallop theorem, multipole expansion, active suspensions. Fluctuations and response. lecturer: Julia Yeomans, Ard Louis and Ramin Golestanian department: Physics course website: TBA location, times: Department of Physics, Fridays at 12noon [Fisher Room]. Combined Schedule for Trinity Term