This note describes the following topics: Random Walk
models of polymer conformations, Gaussian chain, Self-avoiding walks and
excluded-volume interaction, Scale invariance, Relation between self-avoiding
walks and critical phenomena, Self-consistent field theory for polymers,
Screening of excluded volume interactions, Flory-Huggins theory, Theta collapse,
Blob concept, Generic phase diagram of polymer solutions, Rouse model, Zimm
model, Hydrodynamic screening in semidilute solutions, Reptation model.
This note provides
an application of mathematical methods to problems in theoretical physics.
Topics covered includes: A variety of techniques employing calculus,
Introduction to complex numbers, matrices, vector calculus, Fourier series, and
This note describes
mathematical concepts that are at the basis of the modern theories of particle
and condensed matter physics, as well as of some advanced topics in quantum
mechanics. Topics covered includes: From Mechanics to Quantum Field Theory, Lie
Groups and Lie Algebras, Galilei, Lorentz, and PoincarŽe Algebras, Abelian and
Non-Abelian Gauge Fields, Topology of Gauge Fields, Angular Momentum in Quantum
This lecture note explains the following topics: Scattering Amplitudes,
The functional renormalization group method, Black hole thermodynamics, Tools
for supersymmetry, Theory of cosmological perturbations, Canonical gravity,
Quantization of gauge systems, Vector models in the large N limit, Neutrinos in
astrophysics and cosmology, Renormalization of the electroweak Standard Model,
BRS symmetry and cohomology.
covers the following topics: Path Integrals in Quantum Mechanics, Stochastic
Processes and Path Integrals, Statistical mechanics in one dimension, Classical
Field Theory , Canonical Quantization, Interacting Quantum Fields, Path
Integrals in Quantum Field Theory, Many-Particle Quantum Systems, Phase
This note covers the following
topics: Reversibility and Irreversibility, Thermodynamic States of Equilibrium
in Dilute Solutions, Atomic Theory of Matter, Equation of State for a Monatomic
Gas, Heat Radiation and Electrodynamic Theory, Heat Radiation. Statistical
Theory, General Dynamics. Principle of Least Action, Principle of Relativity.
This note covers the following topics: Lorentz transformations, Light-cone
coordinates, Energy and momentum, Compact dimensions, orbifolds, Relativistic
electrodynamics, Gauss' law, Gravitation and Planck's length, Gravitational
potentials, compactification, and large extra dimensions, area formula for
spatial surfaces, Relativistic strings: Nambu-Goto action, equations of motion
and boundary conditions, Periodicity conditions for the motion of closed
strings, The formation of cusps, Conserved currents in E&M, Conserved charges in
lagrangian mechanics, Closed strings and Heterotic string theory.
Author(s):Prof. Barton Zwiebach and Prof. Alan
lectures provide bite sized introductions to a handful of topics in theoretical
physics, aimed at first year undergraduates. They were given from 2008 to 2011.
Presentations can be downloaded below.The lecture notes can be downloaded in
both PDF and PS formats
notes provide a detailed introduction to the bosonic string and conformal field
theory, aimed at "Part III" (i.e. masters level) students. The full set of
lectures notes can be downloaded here and weigh in at around 200 pages.
Individual sections can be downloaded below. Last updated February 2012.This
covers the following: The Classical String, The Quantum String, Open Strings and
D-Branes, Introducing Conformal Field Theory, Path Integrals and Ghosts,
Scattering Amplitudes, Low Energy Effective Actions, Compactification and
This note covers the following topics: Nelson's Stochastic
Mechanics, Quantum Logic, Trivalent Logic, The Scalar Wightman Theory in 4
Space-Time Dimensions, Jordan Algebras, Octonions, p-adics, Quaternions,
Rigorous Feynman Path Integrals, Euclidean Gravity, Bohmian Mechanics, The
Many-Worlds Interpretation of QM, Non-self-adjoint observables, Analytic
S-matrix bootstrap, Wolfram's physics as a computer programme, Dirac's programme
of quantisation, Converting R. Penrose to the Copenhagen view, Mach's principle,
Spheralons ,Hilbert space as classical phase space and Spin-statistics
`theorems' in non-relativistic quantum mechanics.
book covers the following topics: General light cone, General BRST, General
gauge theories, Particle, Classical mechanics, Light-cone quantum mechanics,
BRST quantum mechanics, Graphs, BRST field theory, Light-cone field theory and
This book covers the
following topics: Strings in QCD, The classical string, Open and closed strings,
Quantization, Lorentz invariance, Interactions and vertex operators, BRST
quantization, The Polyakov path integral, T-Duality, Complex coordinates,
Fermions in strings, The GSO Projection, Zero modes.
This note explains the following topics: Bosonic String Field Theory,
Superstring Field Theory and its Application to Tachyon Condensation, Towards
Supersymmetric Extension of Vacuum String Field Theory.
This note explains the following topics: Electric fields,
Electric forces, Electromagnetic waves, Geometical optics, Gauss' law,
Diffraction and polarization, Interference of light, Capacitance, Current and
resistance, Magnetic fields, Inductance, Faraday's law and Nuclear energy.
This note explains the following topics: String Basics, Closed strings,Open strings,Modes,
gravitons,Interactions,Perturbation theory, D-branes, Superstrings, Extra
dimensions, Kaluza-Klein theory, String duality, M-theory, Black holes.
note explains the following topics: Conformal field theory, BRST Quantization,
Tree-level amplitudes, Loop amplitudes, Compactification and duality,
Superstrings, Heterotic strings, D-branes, Strings at strong coupling.