Draft list of lecture courses for TT: Astrophysical Gas Dynamics (Continued) Astrophysical Gas Dynamics [10 hours] area: Astro syllabus: Part II. Disc Accretion in Astrophysics: Theory and Applications.Thin discs (the alpha disc model, disc structure and their appearance), the thermal/viscous instability, resonances; thick discs (including radiation-pressure dominated discs), self-gravitating discs and their stability (including the Toomre criterion); relativistic disc accretion, optically thin advection-dominated flows, super-Eddington accretion, the source of disc viscosity (including the magneto-rotational instability), mass loss and jets from accretion discs. The course will emphasize a wide range of applications of accretion-disc theory, such as compact binaries, including black-hole binaries, ultraluminous X-ray sources, X-ray pulsars, proto-stellar systems, gamma-ray bursts. lecturer: Philipp Podsiadlowski department: Physics course website: link location, times: Department of Physics, Mondays 11am-1pm (weeks 1-5) [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 10-11am [Fisher 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, Thursday 11:30am - 1:00pm (week 1 only) Tuesdays and Wednesdays 11:00am - 12:30pm (weeks 1, 3-4, 7-8) [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 2-4pm [Fisher Room] Conformal Field Theory Conformal Field Theory [16 hours] area: PT, CMT pre-requisite: Quantum Field Theory (MT) syllabus: Scale invariance and conformal invariance in critical behaviour, the role of the stress tensor, radial quantisation and the Virasoro algebra, CFT on the cylinder and torus, height models, loop models and Coulomb gas methods, boundary CFT and Schramm-Loewner evolution, perturbed conformal field theories: Zamolodchikov's c-theorem, integrable perturbed CFTs: S-matrices and form factors. lecturer: Fernando Alday department: Maths course website: Conformal Field Theory location, times: Mathematical Institute, Mondays 2-4pm (weeks 1-2) [C2] Wednesdays and Fridays 2-4pm (week 1 [L4], weeks 2-3 [L6]) Introduction to Gauge String Duality Introduction to Gauge String Duality [16 hours] area: PT 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: Introduction to Gauge String Duality location, times: Department of Physics, Fridays 9-11am [Fisher Room] Non-perturbative Methods in Quantum Field Theory (Continued) Non-perturbative Methods in Quantum Field Theory [8 hours] area: PT, CMT prequel/pre-requisite: Advanced Quantum Field Theory for Particle Physics (HT) syllabus: Lattice Field Theory (continued). Fermions on a lattice. Some applications drawn from: the mass spectrum; the running coupling; large N; non-zero temperature; (near-)conformal field theories; topology on the lattice. Topology in Field Theory: solitons and instantons. Topics drawn from the following. Kinks in D=1+1 scalar FT. A no-go theorem in higher dimensions and its limitations. Vortices in D=2+1 scalar FT (KT phase transition) and 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 and 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). lecturer: Mike Teper department: Physics course website: location, times: Department of Physics, Tuesdays 4-5pm (weeks 2-5) Thursdays 2-3pm (weeks 2-5) [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: Tomas Andrade department: Physics course website: TBA location, times: Thursdays, 12-1pm, Mathematical Institute, L1 (week 1), L5 (week 2) Department of Physics, Fisher Room (weeks 3-8) and Fridays, 11-12, Department of Physics [Fisher Room} 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 and Thursdays 9-10am (weeks 1-4) [C2] Tuesdays and Wednesdays 9-10am (weeks 1-4) [C3] Friday 4-5 (week 1 only) [C4] 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) x UY(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 - 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: Jorge Casalderrey Solana department: Physics course website: TBA location, times: Department of Physics, Tuesdays 10-11am (weeks 1 and 3-8), Thursdays 3-4pm (weeks 3-4 and 8) and Fridays 12-1pm (weeks 1 and 3-7) [Fisher Room] Topics in Quantum Condensed Matter Physics Topics in Quantum Condensed Matter Physics [8 hours] area: CMT 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 10-11am [501] Topics in Soft and Active Matter Physics Topics in Soft and Active Matter Physics [8 hours] area: CMT prequel: Soft Matter Physics (HT), Advanced Fluid Dynamics (HT). pre-requisites: Soft Matter Physics (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: TBA Combined Schedule for Trinity term