## e-books in Quantum Field Theory category

**Introduction to Renormalisation**

by

**Joao F. Melo**-

**arXiv**,

**2019**

These are introductory lectures aimed at beginning graduate students covering fundamental concepts and ideas behind the renormalisation group. Our main goal is to motivate it and then explore its consequences, in the context of quantum field theory.

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**1148**views)

**Algebraic Quantum Field Theory: An Introduction**

by

**Christopher J. Fewster, Kasia Rejzner**-

**arXiv.org**,

**2019**

We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of explaining its key structures and features. Topics covered include: algebraic formulations of quantum theory and the GNS representation theorem, etc.

(

**4993**views)

**Quantum Field Theory and Functional Integrals**

by

**Nima Moshayedi**-

**arXiv.org**,

**2019**

We describe Feynman's path integral approach to quantum mechanics and quantum field theory from a functional integral point of view, where focus lies in Euclidean field theory. Gaussian measure and the construction of the Wiener measure are covered.

(

**4446**views)

**Introductory Lectures on Topological Quantum Field Theory**

by

**Nils Carqueville, Ingo Runkel**-

**arXiv.org**,

**2017**

These notes offer a lightening introduction to topological quantum field theory in its functorial axiomatisation assuming no or little prior exposure. We highlight the algebraic formulation emerging from a formal generators-and-relations description.

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**5585**views)

**Quantum Field Theory as a Faithful Image of Nature**

by

**Hans Christian Ã–ttinger**-

**arXiv**,

**2016**

This book can be used as a textbook on quantum field theory for students of physics or as a monograph for philosophers and physicists interested in the epistemological foundations of particle physics. The reader is stimulated to critical thinking ...

(

**7249**views)

**Nonequilibrium Quantum Fields: From Cold Atoms to Cosmology**

by

**J. Berges**-

**arXiv**,

**2015**

Lecture notes. From the table of Contents: Introduction; Nonequilibrium quantum field theory; Thermalization; Classical aspects of nonequilibrium quantum fields; Nonequilibrium instabilities; Nonthermal fixed points and turbulence.

(

**6995**views)

**A Guide to Quantum Field Theory**

by

**Kasper Peeters**-

**Durham University**,

**2014**

The course will introduce Quantum Field Theory (QFT) by bringing together concepts from classical Lagrangian and Hamiltonian mechanics, quantum mechanics and special relativity. We will also introduce string theory as a simple two-dimensional QFT.

(

**8405**views)

**Introduction to Quantum Field Theory**

by

**Matthew Schwartz**-

**Harvard University**,

**2008**

The approach is to emphasize that Quantum Field Theory is first and foremost a tool for performing practical calculations. I will emphasize the physical problems which have driven the development of the field, and to show how they can be solved.

(

**7852**views)

**Scattering Amplitudes**

by

**Henriette Elvang, Yu-tin Huang**-

**arXiv**,

**2013**

The purpose of this review is to bridge the gap between a standard course in quantum field theory and recent fascinating developments in the studies of on-shell scattering amplitudes. We build up the subject from basic quantum field theory...

(

**9231**views)

**Introductory Lectures on Quantum Field Theory**

by

**Luis Alvarez-Gaume, Miguel A. Vazquez-Mozo**-

**arXiv**,

**2013**

In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String Theory.

(

**8828**views)

**Physics Quest: Understanding Relativistic Quantum Field Theory**

by

**Hans de Vries**-

**Physics-Quest.org**,

**2013**

From the table of contents: Relativistic foundations of light and matter Fields; Advanced treatment of the EM field; The relativistic matter wave equations; Foundations of Quantum Electro Dynamics; Non Abelian gauge theories.

(

**11156**views)

**Group Field Theories**

by

**Thomas Krajewski**-

**arXiv**,

**2012**

Group field theories are particular quantum field theories defined on D copies of a group which reproduce spin foam amplitudes on a space-time of dimension D. In these lecture notes, we present the general construction of group field theories.

(

**8534**views)

**Advances in Quantum Field Theory**

by

**Sergey Ketov**-

**InTech**,

**2012**

Advances in Quantum Field Theory covers some current applications of quantum field theory to various areas of modern physics and mathematics, in order to offer a deeper understanding of known facts and unsolved problems.

(

**9499**views)

**Notes on Quantum Field Theory**

by

**Sidney Coleman**-

**arXiv**,

**1986**

These notes were taken during Sidney Coleman's lectures on Quantum Field Theory (Physics 253), given at Harvard University in Fall semester of the 1986-1987 academic year. These notes remain the principal source for the Physics 253a materials.

(

**9608**views)

**Effective Action Approach to Quantum Field Theory**

by

**Ivan G. Avramidi**-

**New Mexico Institute of Mining and Technology**,

**2001**

From the table of contents: Classical Field Theory (Models in field theory, Cauchy problem for Jacobi fields, Feynman propagator, Classical perturbation theory ...); Quantization of non-gauge field theories; Quantization of gauge field theories.

(

**11519**views)

**Quantum Field Theory I**

by

**Ling-Fong Li**-

**National Tsing Hua University**,

**2010**

These quantum field theory notes include the following topics: Quantization of Field Theory; Theory of Renormalization; Symmetry; Standard Model of Electroweak Interaction; Theory of Strong Interaction -- Quantum Chromodynamics.

(

**11458**views)

**Quantum Field Theory, Black Holes and Holography**

by

**Chethan Krishnan**-

**arXiv**,

**2010**

These notes are an expanded version of lectures given in 2010. The aim is to provide a practical introduction to quantum field theory in curved spacetime and related black hole physics, with AdS / CFT as the loose motivation.

(

**9915**views)

**The Monte Carlo Method in Quantum Field Theory**

by

**Colin Morningstar**-

**arXiv**,

**2007**

This series of six lectures is an introduction to using the Monte Carlo method to carry out nonperturbative studies in quantum field theories. Path integrals in quantum field theory are reviewed, and their evaluation is presented.

(

**9555**views)

**An Introduction to Quantum Field Theory**

by

**Mrinal Dasgupta**-

**University of Manchester**,

**2008**

Presently, all observational evidence points to the fact that Quantum Field Theory provides a good description of all known elementary particles. The scope of these lectures is to provide an introduction to the formalism of Quantum Field Theory.

(

**11617**views)

**Quantum Field Theory**

by

**Mark Srednicki**-

**Cambridge University Press**,

**2007**

This introduction to quantum field theory will be of value not only to beginning students but also to practicing physicists interested in learning or reviewing specific topics. The material is presented in an intuitively clear and informal style.

(

**14463**views)

**Lectures on Tensor Categories and Modular Functors**

by

**Bojko Bakalov, Alexander Kirillov**-

**American Mathematical Society**,

**2000**

The book gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors.

(

**10690**views)

**Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect**

by

**Ted Jacobson**-

**arXiv**,

**2004**

These notes introduce the subject of quantum field theory in curved spacetime and some of its applications and the questions they raise. Topics include particle creation in time-dependent metrics, quantum origin of primordial perturbations, etc.

(

**10569**views)

**Introduction to Nonequilibrium Quantum Field Theory**

by

**J. Berges**-

**arXiv**,

**2004**

An introduction to functional integral techniques and how they can be applied in practice. Though we focus on particle physics and cosmology applications, we emphasize that these techniques can be equally applied to other nonequilibrium phenomena.

(

**10034**views)

**Introduction to Nonequilibrium Statistical Mechanics with Quantum Field**

by

**Takafumi Kita**-

**arXiv**,

**2010**

The author presents a concise and self-contained introduction to nonequilibrium statistical mechanics with quantum field theory. Readers are assumed to be familiar with the Matsubara formalism of equilibrium statistical mechanics.

(

**10526**views)

**Introduction to Feynman Integrals**

by

**Stefan Weinzierl**-

**arXiv**,

**2010**

An introduction to Feynman integrals. In the first part of the course the author reviews the basics of the perturbative expansion in quantum field theories. In the second part of the course he will discuss more advanced topics.

(

**10520**views)

**Quantum Field Theory**

by

**David Tong**-

**University of Cambridge**,

**2007**

These notes are based on an introductory course on quantum field theory. From the table of contents: Classical Field Theory; Free Fields; Interacting Fields; The Dirac Equation; Quantizing the Dirac Field; Quantum Electrodynamics.

(

**12629**views)

**Quantum Field Theory on Noncommutative Spaces**

by

**Richard J. Szabo**-

**arXiv**,

**2003**

An introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, etc.

(

**12392**views)

**Quantum Field Theory**

by

**A.N. Schellekens**,

**1997**

All particles in the standard model correspond to some field in a quantum field theory. Our task is to understand how this works, how to describe interactions of these particles using quantum field theory, and how to compute various processes.

(

**11181**views)

**Algebraic Quantum Field Theory**

by

**Hans Halvorson, Michael Mueger**-

**arXiv**,

**2006**

This paper is a survey of AQFT, with an orientation towards foundational topics. In addition to covering the basics of the theory, we discuss issues related to nonlocality, the particle concept, the field concept, and inequivalent representations.

(

**14521**views)

**Introduction to Algebraic and Constructive Quantum Field Theory**

by

**John C. Baez, Irving E. Segal, Zhengfang Zhou**-

**Princeton University Press**,

**1992**

The book presents a rigorous treatment of the first principles of the algebraic and analytic core of quantum field theory. The authors address readers interested in fundamental mathematical physics and who have the training of a graduate student.

(

**12985**views)