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Quantum Field Theory

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Warren Seigel
a Professor at C.N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, Long Island, he's not content just to study the relationships between string theory and particle theory, but also to write goofy essays, and maintain this Web site.

Feynman Diagrams
A summary of the rules governing the creation of Feynman diagrams.

The Casimir Effect
What is the Casimir Effect? From the Usenet FAQ.

A European experiment intended to test the theory of quantum electrodynamics to extremely high accuracy.

New Developments in the Casimir Effect
A review of both new experimental and theoretical developments in the Casimir effect. [Postscript & PDF format]

Renormalization Made Easy
A non-technical introduction to the renormalization of quantum field theories.

Chern-Simons Theory
A brief review on the progress made in the study of Chern-Simons gauge theory since its relation to knot theory was discovered ten years ago is presented.

Casimir Effect: Physical Manifestations of Zero-Point Energy
Zero-point fluctuations in quantum fields give rise to observable forces between material bodies, the so-called Casimir forces.These lectures present the theory of the Casimir effect, primarily formulated in terms of Green's functions.

Net Advance in Physics - Quantum Field Theory

A Short Introduction to Non-Relativistic Effective Field Theories
A discussion of effective field theories for heavy bound systems, particularly bound systems involving two heavy quarks.

Quantum Fields Near Black Holes
This review gives an introduction into problems, concepts and techniques when quantizing matter fields near black holes. The first part focusses on quantum fields in general curved space-times. The second part is devoted to a detailed treatment of the Unruh effect in uniformly accelerated frames and the Hawking radiation of black holes

Quantum Fields LLC Research & Development
Research and Development in Vacuum Fluctuations, Casimir Forces and EPR Entangled States

Noether's Theorem in a Nutshell
An overview of Noether's theorem

Introduction to Seiberg-Witten Theory
An elementary introduction to the recent solution of supersymmetric Yang-Mills theory. In addition, review of how it can be re-derived from string duality.

What are C* Algebras Good For?
An introduction to C* Algebras and their applications in field theory.

Technicolor 2000
This review is based on lectures on technicolor and extended technicolor presented at the Frascati Spring School in May 2000

Quantum Field Theory in Curved Spacetime
These postscript lectures deal with selected aspects of quantum field theory in curved spacetime

Notes on Seiberg-Witten Gauge Theory
These notes provide an introductory exposition of the Seiberg-Witten gauge theory.

Algebraic Quantum Field Theory
A collection of resources for algebraic quantum field theory

InterStellar Technologies Corporation
InterStellar Technologies is engaged in the research and development of technologies with applications to energy production and propulsion.

Evolution of the Bogoluibov Renormalization Group
A simple introduction into the renormalization group (RG) in quantum field theory and an overview of the renormalization group method. The third section is devoted to essential topics of the renorm-group use in the QFT.

Goldstone Bosons
These notes review the effective lagrangian treatment of Goldstone and pseudo-Goldstone bosons, taking examples from high-energy/nuclear and condensed-matter physics.

Introduction to Gauge Theories
These lectures present an elementary introduction to quantum gauge fields.

An Introduction to Pomerons
Talk given at Workshop on Diffractive Physics

The search for a quantum field theory
Investigations undertaken to build a consistent quantum theory of fields

Some Articles of Proceedings of International Colloquium on Moden Quantum Field Theory, 1994, TIFR
Copies of these articles in TeX and postscript formats.
Topics in Nonequilibrium Field Theory
Nonequilibrium field theory covers a variety of topics such as transport theory of quantum fields, nonequilibrium phase transitions, the nucleation and transport of topological defects and other nonlinear coherent structures, as well as fundamental issues such as the quantum-classical transition and the coherent control of quantum systems.
The State of Matrix Theory
A set of lecture notes with RealPlayer audio on Matrix Theory
Topics in Quantum Field Theory
Several files in LaTeX format cover selected topics in Quantum Field Theory and Integrable Systems

Arrangements of Hyperplanes (Grundlehren der mathematischen 
Wissenschaften) by Peter Orlik and Hiroaki Terao

Geometry of 2D Topological Field Theory
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories.

Topological Geometrodynamics
An attempt to unify fundamental interactions by assuming that physical spacetimes can be regarded as submanifolds of certain 8-dimensional space. Book in PDF by Matti Pitkänen, Helsinki.

Topological Quantum Field Theory Club
A club which holds monthly and yearly meetings in Portugal to discuss topics in quantum field theory.

Quantum Topology Project
The objective of the Project are to use topological quantum field theories to explore low-dimensional topological objects. The field theories to be used are combinatorially and algebraically defined, and the emphasis is on numerical computation and detection of counterexamples rather than general structure.

Research Group on Topological Quantum Field Theory and Knots
Research Group on Topological Quantum Field Theories in any dimension and their relation to topological invariants. Particular attention is given to BF theories and knots in any dimension.

Math and Physics
A brief review on some of the recent developments in topological quantum field theory. These include topological string theory, topological Yang-Mills theory and Chern-Simons gauge theory.

Topological Quantum Field Theory, a Progress Report
A brief introduction to Topological Quantum Field Theory as well as a description of recent progress made in the field is presented. I concentrate mainly on the connection between Chern-Simons gauge theory and Vassiliev invariants, and Donaldson theory and its generalizations and Seiberg-Witten invariants. Emphasis is made on the usefulness of these relations to obtain explicit expressions for topological invariants, and on the universal structure underlying both systems.

New Results in Topological Field Theory and Abelian Gauge Theory
These are the lecture notes of a set of lectures delivered at the 1995 Trieste summer school in June. Much of the necessary background material is given, including a crash course in topological field theory, cohomology of manifolds, topological gauge theory and the rudiments of four manifold theory.

Topological Quantum Field Theories
Topological quantum field theories can be used as a powerful tool to probe geometry and topology in low dimensions. Chern-Simons theories, which are examples of such field theories, provide a field theoretic framework for the study of knots and links in three dimensions.

Lectures in Topological Quantum Field Theory
A set of introductory notes on Topological Quantum Field Theories

Program at the Institute for Mathematical Sciences, Singapore; 14 May -- 13 July 2007.

An Introduction to Topological Quantum Field Theories
A topological quantum field theory (TQFT) is an, almost, metric independent quantum field theory that gives rise to topological invariants of the background manifold

Ahmed, Diaa A: Quantum Field Theories: Quantum Topology
Includes links to research papers, quotations on the development of the quantum theory, brief notes on the field and related links.

Chiral symmetry and the nucleon-nucleon interaction: Developing a chiral NN potential in configuration space by Hironori Shimoyama (Paperback - Mar 19, 2006)

Topology Atlas
Preprints, abstracts, calendar, links, other resources.

Mazes and Mathematics
History and mathematical analysis of labyrinths.

What is Topology?
An introductory essay by Neil Strickland, University of Sheffield.

British Topology Home Page
A source of pointers to Topology-related sites, including archives and conference announcements.

Topics in Mathematics - Topology
In the Mathematics Archives at University of Tennessee, Knoxville.

First-Principles Calculations In Real-Space Formalism: 
Electronic Configurations And Transport Properties Of Nanostructures
by Kikuji Hirose, Tomoya Ono, Yoshitaka Fujimoto, and Shigeru Tsukamoto
 (Hardcover - Mar 30, 2005)

Algebraic Topology Discussion List
The primary functions of this list are: providing abstracts of papers posted to the Hopf archive, providing information about topology conferences, and serving as a forum for topics related to algebraic topology. The site also serves as an archive of links to websites related to algebraic topology.

Links to Low-dimensional Topology
Topics: General, Conferences, Pages of Links, Knot Theory, 3-manifolds, Journals.

The Transpennine Topology Triangle is a topology seminar partially supported by the London Mathematical Society with vertices at Leicester, Manchester and Sheffield.

Topology Glossary
Definitions of over 100 terms in topology.

Planar Machines - an Invitation to Topology.
Java applets exploring configuration spaces.

Configuration Spaces over Hilbert Schemes and Applications (Lecture Notes in Mathematics) 
 by Danielle Dias and Patrick Le Barz

The Cantor Set
Article in the Platonic Realms, describing the Cantor discontinuum, a favorite example of topology. Includes examples and illustrations.

MAA Basic Library List in Topology
MAA recommended books in General, Geometric, Algebraic and Differential Topology.

A Layman Looks into the Closed 3-manifold
The page describes Poincare conjecture in simple language.

Topological Methods in Group Theory
Table of contents only, but draft chapters can be downloaded by arrangement.

Topology of Manifolds: Supersymmetry and QFT
This is the web resource page for a course taught by John Morgan in Fall 1997 at Columbia University.

Locating Lines and Hyperplanes: Theory and Algorithms (Applied Optimization)  by Anita Schöbel

Controlled observations of the genetic algorithm
in a changing environment: Case studies using the
shaky ladder hyperplane-defined functions: (Dissertation)
by William Michael Rand (April 1, 2006)

Facing Up to Arrangements: Face-Count Formulas for Partitions of Space
by Hyperplanes (Memoirs of the American Mathematical Society #154)
by Thomas Zaslawski ">

 Multinets, resonance varieties, and pencils of plane curves, 
Michael Falk, Sergey Yuzvinsky, proof of Lemma 3.1 (Lemma 3.2)
resulting in a new

3 dimensional configuration spaces

Hyperplane Arrangements


A New Kind of Science by Stephen Wolfram
Science from the point of view of complex systems: from the origins of apparent randomness in physical systems, to the development of complexity in biology.

MathPages: Physics
Collection of essays, not always orthodox, but always lucid, on historical and important current issues in mathematics and physics.

Digital Philosophy -- Discrete Physics
Assuming that all quantities, including space and time, are finite and discrete.

Identity and Individuality in Quantum Theory
Assesses the metaphysical implications of quantum theory by considering the impact of the theory on our understanding of objects as individuals with well defined identity conditions. From the Stanford Encyclopedia, by Steven French.

Kuhn's Structure of Scientific Revolutions
Crucial chapter from Kuhn's famous book outlining how sciences is forced to go through a paradigm-shift, and see the world in terms of a new theory and new concepts.

Gauge Fields, Knots, and Gravity
(Series on Knots and Everything, Vol. 4)
by John C. Baez and Javier P. Muniain
(Paperback - Sep 1994)

Introduction to Algebraic and Constructive Quantum Field Theory
(Princeton Series in Physics) by John C. Baez, Irving Ezra Segal,
and Zhengfang Zhou (Hardcover - Aug 1992)

Knots and Quantum Gravity
(Oxford Lecture Series in Mathematics and Its Applications)
by John C. Baez (Hardcover - Dec 1, 1994)

Wikipedia - EPR Paradox
On the experiment to show that a measurement performed on one part of a quantum system can have an instantaneous effect on the result of a measurement performed on another part.

Space and Time: Inertial Frames
On the frames of reference relative to which motion and rest are measured; by Robert DiSalle.

Shakespeare and Thermodynamics - Dam the Second Law!
What the second law of thermodynamics is all about, and how it is constantly 'dammed' or blocked by activation energy

Experiment in Physics
On the uses, value, and epistomelogy of experiment. By Allan Franklin, University of Colorado.

Philosophical Foundations of Physics by R. Carnap
Positivist view of Physics, which had influenced the Copenhagen Interpretation of the Quantum mechanics (CI).

Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics) by M. Nakahara

Events in History of Physics
Time-lines of thermodynamics, electromagnetism, and symmetry. With links to other time-lines and resources.

The Bactra Reviews
A set of book and article reviews, not limited to physics.

Quantum Quackery
Skeptical overview of QM and consciousness connection.

A New Kind of Science - critical review
Detailed and critical review by Ray Kurzweil of the book by Stephen Wolfram.

PhilSci Archive - Subject: Physics
Collection of papers on causality, free will etc

Philosophy and Foundations
A collection of links, from Norman Redington at MIT.

Review of "The Emperor's New Mind", by Roger Penrose
His exploration is so much more serious philosophically than almost anything that has been done since Einstein and Schrodinger

Science, Pseudoscience and Society
Papers by Feynman on paranormal 'sciences', Sokal Affair (use of pseudo-physics in social sciences), critique of Kuhn. Also a collection of links.

PhysicsWeb - This is Your Philosophy
Are physicists realists? - results of a poll.

The Mind of God
A review of Paul Davies' exposition of foundational philosophical issues.

Life and Physics
Biological systems demonstrate complexities beyond the strictures of Newtonian mechanics. (Robert Rosen)

Consciousness, Life and Meaning
Essay on evolution and consciousness by Piero Scaruffi.

Philosophy of Physics
A collection of articles and notes from Soshichi Uchii, at Kyoto University.

Chronon Critical Points
Scientific applets, articles and book critically examine claims made in popular books


(UK) University of Oxford
Topology group. People, events, preprints, links.

(USA) Auburn University.
Topology and its Neighborhood.

(USA) University of Chicago
Topology Seminar. Schedule and links to other meetings.

(UK) University of Liverpool
Knot Theory Research Group.

(Belgium) K.U. Leuven, Kortrijk Campus
Algebra and Topology Research Group.

(UK) University of Glasgow
Geometry and Algebraic Topology.

(UK) University of Manchester
Topology, Geometry and Combinatorics Group.

(Hungary) Alfréd Rényi Mathematical Institute, Budapest
Set Theory and Topology Research Group. Members, preprints.

(UK) University of Wales, Bangor
School of Informatics, Category Theory and Homotopy Theory.

(UK) University of Wales, Bangor
School of Informatics, Algebra and Algebraic Topology.

Back Pages

An aspect ratio bound for triangulating  
a d-grid cut by a hyperplane (SuDoc NAS 1.26:199551)
 by Scott A. Mitchell (Unknown Binding - 1995)

On certain projective properties of the configuartions 
of m general hyperplanes in hyperspace
 by Elizabeth Sherman Arnold (Unknown Binding - Jan 1, 1941)

The weak-star closure of the unit ball in a hyperplane, 
by G. J. O Jameson (Unknown Binding - Jan 1, 1971)

Random hyperplane intersecting a fixed line in Rn 
and the Cauchy distribution (Institute of Statistics mimeo series) 
(Institute of Statistics mimeo series) by Ibrahim A Salama 
(Unknown Binding - Jan 1, 1984)

A necessary and sufficient condition for intersecting a translated
hyperplane and a ball by M El Hallabi (Unknown Binding - Jan 1, 1995)

Equipartition of mass distributions by hyperplanes  
(Report) by Edgar A Ramos (Unknown Binding - Jan 1, 1993)

An "economics proof" of a separating hyperplane theorem
 (Discussion paper / Harvard Institute of Economic Research)
 by Martin L Weitzman (Unknown Binding - Jan 1, 1999)

Patterns and configurations in finite spaces
(Griffin's Statistical monographs & courses, no. 22)

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