Courses

COURSE 1: Loops and Legs in QFT

Broad Outline:

Soft Collinear Effective Theory (SCET), Higher order QCD radiative corrections, multi-loop and multi-leg computations, helicity amplitude techniques, BCFW, Berends-Giele, etc. IR structure of gauge theories, soft and virtual approximation, resummation of soft gluons, NLO QCD: theory and tools (FeynCalc, Madgraph, aMC@NLO), Jet physics(algorithms, jet substructures, etc), transverse momentum PDFs, pQCD for the Higgs and Top physics at the LHC.

Instructor : V. Ravindran (Institute of Mathematical Sciences, Chennai)

Tutors : To be announced

COURSE 2: Entanglement, SYK Models and Chaos

Broad Outline:

This course will cover various aspects of entanglement and discuss different measures like entanglement entropy: von Neumann, Renyi, relative entropy, entanglement negativity, SYK models: Majorana, complex fermions, in conformal limit, large q limit; relation to quantum chaos, Lyapunov exponent; saturation of the bound on the Lyapunov exponent; Holographic dual description

Instructor: Arnab Kundu (Saha Institute of Nuclear Physics, Kolkata)

Tutors : To be announced

COURSE 3: Integrable Field Theories

Broad Outline:

Introduction, integrability in mechanics, historical survey & examples; main development in context of Nonlinear Schrodinger and KdV equations; lax pairs, zero curvature representation, spectral parameter; monodromy matrix and infinitely many conserved quantities; Fundamental Poisson brackets, r-matrix and conserved quantities in involution; classical Yang-Baxter equation; inverse scattering transform: Gelfand-Levitan-Marchenko equation and solitons; Bi-hamiltonian structure; hierarchies of integrable models; Bethe ansatz, Quantum r-matrix, Quantum inverse scattering, Quantum Yang-Baxter equation; Survey of other developments: spin chains, twistors, instantons, integrability in AdS/CFT.

Instructor: Govind Krishnaswami (Chennai Mathematical Institute, Chennai)

Tutors : To be announced

COURSE 4: B Physics

Broad Outline:

Flavour in SM, CKM matrix, unitarity triangle, introduction to tree-and loop-level processes; construction of effective 4-fermion operators from the full weak interactions; Leptonic (tree-level annihilation), semileptonic and nonleptonic decays; introduction to form factors (BSW); B-Bbar mixing. B -> s gamma; CP violation: direct and mixing-induced; determination of the UT angles; introduction to semileptonic asymmetries and angular observables; CP violation in the K system, epsilon_K and epsilon’/epsilon; K -> pi nu nu-bar; introduction to different topologies. Construction of the full 10-operator basis (in the SM); operator mixing and determination of the Wilson Coefficients at m_b; Heavy Quark Effective Theory and determination of the Isgur-Wise form factors; Status of 1/m_b, 1/m_c, and higher-order alpha_s corrections; determination of V_cb. Leptonic flavour violation; trilepton decays through effective operators; New Physics through flavour mixing and rare decays; Semileptonic Anomalies. (Optional : link to other sectors, such as neutrinos / LHC)

Instructor: Anirban Kundu, (University of Calcutta )

Tutors : To be announced