## e-books in Field Theory category

**Quantization of Geometry**

by

**Jan Ambjorn**-

**arXiv.org**,

**1995**

From the table of contents: Introduction; Bosonic propagators and random paths; Random surfaces and strings; Matrix models and two-dimensional quantum gravity; The mystery of c>1; Euclidean quantum gravity in d>2; Discussion.

(

**1257**views)

**Conformal Field Theory on the Plane**

by

**Sylvain Ribault**-

**arXiv**,

**2014**

We provide an introduction to conformal field theory on the plane in the conformal bootstrap approach. We introduce the bootstrap approach to quantum field theory, and how they apply to two-dimensional theories with local conformal symmetry.

(

**1884**views)

**Conformal Field Theory, Tensor Categories and Operator Algebras**

by

**Yasuyuki Kawahigashi**-

**arXiv**,

**2015**

This is a set of lecture notes on the operator algebraic approach to 2-dimensional conformal field theory. Representation theoretic aspects and connections to vertex operator algebras are emphasized. No knowledge on operator algebras is assumed.

(

**2139**views)

**Lecture Notes on Topological Field Theory**

by

**Jian Qiu**-

**arXiv**,

**2012**

These notes cover some topics in both the perturbative and non-perturbative topological Chern-Simons theory: the quantization of Chern-Simons theory, the use of surgery for computation, brief discussions about framings, eta invariants, etc.

(

**5033**views)

**Yang Mills model of interacting particles in the classical field theory**

by

**Jean Claude Dutailly**-

**arXiv**,

**2011**

The purpose is to study interacting particles in the General Relativity context, by the principle of least action using purely classical concepts. The particles are described by a state tensor using a Clifford algebra for the kinematic part.

(

**6287**views)

**Topological Field Theory**

by

**Graeme Segal**-

**Duke University**,

**1999**

Contents: Topological field theories (The basic structure, The 'toy model' for a finite group, Open Strings, Area-dependent theories); The Index and Determinant of the Dirac Operator; Braided tensor categories; String algebras.

(

**5220**views)

**Applied Conformal Field Theory**

by

**Paul Ginsparg**-

**arXiv**,

**1988**

An elementary introduction to conformal field theory, with some applications to statistical mechanical systems, and fewer to string theory. Contents: Conformal theories; Central charge and the Virasoro algebra; Kac determinant and unitarity; etc.

(

**5103**views)

**Classical Field Theory**

by

**Gleb Arutyunov**-

**Utrecht University**,

**2011**

The author introduces the basic methods of classical field theory and applies them in a variety of physical models. Topics: Lorentz-covariant formulation of electromagnetic theory, advanced radiation problems, the Ginzburg-Landau theory, etc.

(

**6621**views)

**Advanced Topics in Effective Field Theory**

by

**Andrew E. Blechman**-

**University of Toronto**,

**2008**

This text helps students fill the gap of knowledge between the QFT courses students take when they start graduate work in theoretical physics, and actual research. The book covers the basics of vitally important techniques used in modern research.

(

**5120**views)

**Geometry of 2D Topological Field Theories**

by

**Boris Dubrovin**-

**arXiv**,

**1994**

These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.

(

**7762**views)

**An Introduction to Conformal Field Theory**

by

**Matthias R Gaberdiel**-

**arXiv**,

**1999**

A comprehensive introduction to two-dimensional conformal field theory is given. Conformal field theories have been at the center of attention during the last fifteen years since they are relevant for different areas of modern theoretical physics.

(

**7925**views)

**Introduction to Symplectic Field Theory**

by

**Y. Eliashberg, A. Givental, H. Hofer**-

**arXiv**,

**2000**

We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic manifolds and their Lagrangian submanifolds in the spirit of topological field theory.

(

**8147**views)

**Introduction to Effective Field Theory**

by

**C. P. Burgess**-

**arXiv**,

**2007**

This review summarizes Effective Field Theory techniques, which are the theoretical tools for exploiting the existence of hierarchies of scale in a physical problem. The general theoretical framework is described, and evaluated for a simple model.

(

**4995**views)

**Combinatorial Geometry with Application to Field Theory**

by

**Linfan Mao**-

**InfoQuest**,

**2009**

Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.

(

**9958**views)

**Quantum Electrodynamics**

by

**Ingemar Bengtsson**-

**Stockholms universitet, Fysikum**,

**2003**

Lecture notes for a graduate course in quantum electrodynamics. Contents: What is a field theory; Quantum theory of the free scalar field; Spacetime properties; The Unruh effect; The Dirac field; Quantum theory of the Dirac field; and more.

(

**7285**views)

**Fields**

by

**Warren Siegel**,

**2005**

It covers classical and quantum field theory, including many recent topics at an introductory yet nontrivial level: supersymmetry, general relativity, supergravity, strings, 1/N expansion in QCD, spacecone, many useful gauges, etc.

(

**7725**views)