Introduction: The Ways of Nature
Geometry
The Special and General Theories of
Relativity
Spacetime as a Differentiable Manifold
Tensors
Extra Geometrical Structures
What is the Structure of our Spacetime?
Classical Physics in Galilean and Minkowski
Spacetimes
The Action Principle in Galilean
Spacetime
Symmetries and Conservation Laws
The Hamiltonian
Poisson Brackets and Translation Operators
The Action Principle in Minkowski Spacetime
Classical Electrodynamics
Geometry in Classical Physics
Hamiltonian Dynamics of Constrained Systems
General Relativity and Gravitation
The Principle of
Equivalence
Gravitational forces
The Field Equations of General relativity
The Gravitational Field of a Spherical Body
Black Holes
Quantum Theory
Wave Mechanics
The Hilbert Space of State Vectors
Operators and Observable Quantities
Spacetime Translations and the Properties of Operators
Quantization of a Classical System
An Example: The One-dimensional Harmonic Oscillator
Second Quantization and Quantum Field Theory
The
Occupation-Number Representation
Field Operators and Observables
Lagrangian Formalism for Field Operators
Second Quantization for Fermions
Relativistic Wave Equations and Field Theories
The
Klein-Gordon Equation
Scalar Field Theory for Free Particles
The Dirac Equation and Spin-1/2 Particles
Spinor Field Theory
Weyl and Majorana Spinors
Particles of Spin, 1 and 2
Forces, Connections and Gauge
Fields
Electromagnetism
Non-Abelian Gauge Theories
Non-Abelian Theories and Electromagnetism
Relevance of Non-Abelian Theories to Physics
The Theory of Kaluza and Klein
Interacting Relativistic Field Theories
Asymptotic
States and the Scattering Operator
Reduction Formulae
Path Integrals
Perturbation Theory
Quantization of Gauge Fields
Renormalization
Quantum Electrodynamics
Equilibrium Statistical Mechanics
Ergodic
Theory and the Microcanonical Ensemble
The Canonical Ensemble
The Grand Canonical Ensemble
Relation Between Statistical Mechanics and Thermodynamics
Quantum Statistical Mechanics
Field Theories at Finite Temperature
Black Body Radiation
The Classical Lattice Gas
Analogies Between Field Theory and Statistical Mechanics
Phase Transitions
BoseEinstein Condensation
Critical Points in Fluids and Magnets
The Ising Model
Spontaneous Symmetry Breaking
The GinzburgLandau Theory
The Renormalization Group
The GinzburgLandau Theory of Superconductors
Unified Gauge Theories of the Fundamental
Interactions
The Weak Interaction
The GlashowWeinbergSalam Model for Leptons
Physical Implications of the Model for Leptons
Hadronic Particles in the Electroweak Theory
Colour and Quantum Chromodynamics
Loose Ends
Grand Unified Theories
Supersymmetry
Solitons and So On
Domain Walls and Kinks
The SineGordon Solitons
Vortices and Strings
Magnetic Monopoles
The Early Universe
The RobertsonWalker Metric
The FriedmannLemaitre Models
Matter, Energy and the Age of the Universe
The Fairly Early Universe
Nucleosynthesis
Recombination and the Horizon Problem
The Flatness Problem
Density Perturbations
The Very Early Universe
Dark Energy and Dark Matter
An Introduction to String Theory
The Relativistic Point
Particle
The Free Classical String
Quantization of the Free Bosonic String
Physics of the Free Bosonic String
Further Developments
Gravity and Quantum Mechanics
Canonical Quantization of
General Relativity
Quantum Cosmology
Black-Hole Entropy
Some Snapshots of the Tour
Some Mathematical Notes
Delta Functions and Functional
Differentiation
The Levi-Civita Tensor Density
Vector Spaces and Hilbert Spaces
Gauss' Theorem
Surface Area and Volume of a d-dimensional Sphere
Gaussian Integrals
Grassmann Variables
Some Elements of Group Theory
Natural Units
Scattering Cross-sections and Particle Decay Rates
"...excellent insight into theoretical physics at a level which
is accessible for advanced undergraduates and above. It is
brilliantly written and deserves a full recommendation."
-Manuel Vogel, Contemporary Physics, 2013
"This is a remarkable sweeping overview. It not only conducts
beginning students to several active frontiers of theoretical
physics but even reveals aspects of an underlying conceptual and
technical unity that can spur them into joining the quest.
Especially valuable is the unified treatment of statistical
mechanics and quantum field theory. New to this edition is a
welcome treatment of constrained Hamiltonian dynamics with a
discussion of implications for loop quantum gravity. I know of no
other text written at this introductory level that succeeds so
admirably in offering a mathematically rigorous yet accessible hint
of the marvels of space and time that researchers will encounter in
the twenty-first century."
-Professor Donald Salisbury, Austin College
"Ian Lawrie's Unified Grand Tour is an
introduction to most of the fundamental areas in theoretical
physics, aimed at readers with knowledge of physics equivalent to
what is covered in an undergraduate physics program. The treatment
is concise yet complete, the style informal and readable but also
technically detailed. Compared to textbooks at this level, it has
the advantage that it presents a unified picture of the different
areas by using a coherent approach and consistent notation, making
frequent references across disciplines, and explicitly discussing
conceptual aspects which emphasize the connections. It goes beyond
other overviews of theoretical physics at this level in that it
provides the technical tools needed to understand the main ideas
behind current research in gravitation and cosmology, quantum
theory, particle physics and statistical mechanics. In fact, the
author's goal was to write more than just a condensed version of
more extended texts, and the result is a highly successful guide to
our understanding of how nature works. The third edition contains
several new sections on topics that have become important in recent
years, such as the Higgs boson, massive neutrinos, dark matter and
dark energy, cosmological perturbations, and a whole new chapter on
the promising theory known as loop quantum gravity. I know I will
keep a copy of this book within reach, and I can highly recommend
it both for readers who need a detailed but quick introduction to
an area, in particular if they are willing to spend the time to go
over the end-of-chapter exercises, and for those who wish to
develop a unified understanding of theoretical physics."
-Luca Bombelli, Department of Physics and Astronomy, University of
Mississippi, University, USA
"The Grand Tour of the 18th and 19th centuries took travellers
on a pilgrimage round Europe's cultural heritage, motivated by the
ideal of an all-embracing liberal education in the arts and
sciences, architecture and language. Ian Lawrie's modern-day
Grand Tour guides its readers on an equally
stimulating intellectual voyage encompassing the unifying ideas of
quantum field theory, general relativity and geometry that form the
basis of our understanding of particle physics, cosmology and the
early universe.
In this new edition of his well-known textbook, familiar topics
have been updated and augmented with extended discussions of the
Higgs boson, neutrinos and the cosmic microwave background
supplementing previously added sections on supersymmetry, string
theory and quantum gravity, providing readers with the background
to follow recent research in particle physics and string cosmology.
Written for graduate students and other physicists seeking an
introduction to the fundamental ideas underlying unified theories,
this is a valuable addition to the literature on modern theoretical
physics."
-Graham Shore, Swansea University, Wales
Praise for Previous Editions:
A Unified Grand Tour of Theoretical Physics has a charming
first chapter that compares the overview of theoretical physics
offered in the following chapters to the Grand Tour of the
continent taken by young Englishmen in the 18th century ... If a
person were to work through the entire book, he or she would gain
an understanding of relativity, quantum theory, spacetime, tensors,
gauge theories, field theory, and statistical mechanics. New to the
second edition is material on string theory and supersymetry.
-E-STREAMS, Vol. 5, No. 9
Written for advanced undergraduates, this book provides an
accessible introduction to the major theories about spacetime
geometry, general relativity, gravitation, quantum mechanics,
quantum field theory, relativistic wave equations, fundamental
particles and their interactions, statistical mechanics, phase
transitions, solutions, the early universe, super-symmetry and
string theory.
-Sci-Tech Book News
Within a single volume, this book meets a genuine need. It provides
appropriate material to enable many of us to broaden our knowledge
into areas that are only loosely related to our own specialties. I
can certainly recommend it, and I am sure I will regularly use it
personally. The author should be congratulated on generally meeting
the aims he set out to achieve ... it is likely to prove to be an
extremely helpful resource.
-Classical and Quantum Gravity, Vol. 19
It is not a mere popularization of the edifices but a serious
introduction to them.
-Kailish Kumar, The Physicist, Vol. 39
The book is laced with penetrating little insights delivered with a
wry wit which makes for an entertaing read.
-Times Higher Educational Supplement
... it is perfect for an ambitious graduate student, an adventurous
scientist in another field, or even an aging physics professor who
has devoted himself to a specialty and will relish an excursion
into unfamiliar territory.
-Physics Today
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