A Primer for Chiral Perturbation Theory

Author: Stefan Scherer
Publisher: Springer Science & Business Media
ISBN: 364219253X
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Chiral Perturbation Theory, as effective field theory, is a commonly accepted and well established working tool, approximating quantum chromodynamics at energies well below typical hadron masses. This volume, based on a number of lectures and supplemented with additional material, provides a pedagogical introduction for graduate students and newcomers entering the field from related areas of nuclear and particle physics. Starting with the the Lagrangian of the strong interactions and general symmetry principles, the basic concepts of Chiral Perturbation Theory in the mesonic and baryonic sectors are developed. The application of these concepts is then illustrated with a number of examples. A large number of exercises (81, with complete solutions) are included to familiarize the reader with helpful calculational techniques.

Concepts in Particle Physics

Author:
Publisher: World Scientific Publishing Company
ISBN: 9813227575
Format: PDF, ePub
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The 2013 discovery of the Higgs boson posed a challenge to both physics undergraduates and their instructors. Since particle physics is seldom taught at the undergraduate level, the question "what is the Higgs and why does its discovery matter?" is a common question among undergraduates. Equally, answering this question is a problem for physics instructors. This book is an attempt to put the key concepts of particle physics together in an appealing way, and yet give enough extra tidbits for students seriously considering graduate studies in particle physics. It starts with some recapitulation of relativity and quantum mechanics, and then builds on it to give both conceptual ideas regarding the Standard Model of particle physics as well as technical details. It is presented in an informal lecture style, and includes "remarks" sections where extra material, history, or technical details are presented for the interested student. The last lecture presents an assessment of the open questions, and where the future might take us.

Effective Field Theories

Author: Alexey A Petrov
Publisher: World Scientific
ISBN: 9814434949
Format: PDF, Kindle
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' This book is a broad-based text intended to help the growing student body interested in constructing and applying methods of effective field theory to solve problems in their research. It begins with a review of using symmetries to identify the relevant degrees of freedom in a problem, and then presents a variety of methods that can be used to construct various effective theories. A detailed discussion of canonical applications of effective field theory techniques with increasing complexity is given, including Fermi''s weak interaction, heavy-quark effective theory, and soft-collinear effective theory. Applications of these techniques to study physics beyond the standard model, dark matter, and quantum and classical gravity are explored. Although most examples come from questions in high-energy physics, many of the methods can also be applied in condensed-matter settings. Appendices include various factoids from group theory and other topics that are used throughout the text, in an attempt to make the book self-contained. Contents:IntroductionSymmetriesElementary TechniquesEffective Field Theories of Type IEffective Field Theories of Type II. Part AEffective Field Theories of Type II. Part BEffective Field Theories of Type III. Fast Particles in Effective TheoriesStandard Model as an Effective Field TheoryEffective Field Theories of GravityOutlook Readership: For the advanced student having studied quantum field theory at the level of Peskin and Schroeder''s text. Key Features:Presents the only comprehensive book on effective field theories and their applications in different subfields of theoretical physics on the marketIncludes new topics such as soft-collinear effective theory that are not included in any other textbookKeywords:Effective Field Theories;Quantum Field Theory;Bound And Unstable States;Bethe-Salpeter Equations;Lagrangian Approach;Hamiltonian Approach;Theory Of Quantized Fields;Renormalization;Renormalization Group'

Resummation and Renormalization in Effective Theories of Particle Physics

Author: Antal Jakovác
Publisher: Springer
ISBN: 3319226207
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Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale numerical simulations of Standard Model physics. These contexts include but are not limited to providing indications for phase transitions and the nature of elementary excitations of strong and electroweak matter. A precondition for obtaining high-precision predictions is the application of some advanced functional techniques to the effective models, where the sensitivity of the results to the accurate choice of the input parameters is under control and the insensitivity to the actual choice of ultraviolet regulators is ensured. The credibility of such attempts ultimately requires a clean renormalization procedure and an error estimation due to a necessary truncation in the resummation procedure. In this concise primer we discuss systematically and in sufficient technical depth the features of a number of approximate methods, as applied to various effective models of chiral symmetry breaking in strong interactions and the BEH-mechanism of symmetry breaking in the electroweak theory. After introducing the basics of the functional integral formulation of quantum field theories and the derivation of different variants of the equations which determine the n-point functions, the text elaborates on the formulation of the optimized perturbation theory and the large-N expansion, as applied to the solution of these underlying equations in vacuum. The optimisation aspects of the 2PI approximation is discussed. Each of them is presented as a specific reorganisation of the weak coupling perturbation theory. The dimensional reduction of high temperature field theories is discussed from the same viewpoint. The renormalization program is described for each approach in detail and particular attention is paid to the appropriate interpretation of the notion of renormalization in the presence of the Landau singularity. Finally, results which emerge from the application of these techniques to the thermodynamics of strong and electroweak interactions are reviewed in detail.

Field Theory

Author: Pierre Ramond
Publisher: Benjamin-Cummings Publishing Company
ISBN:
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ITEP Lectures on Particle Physics and Field Theory

Author: M A Shifman
Publisher: World Scientific
ISBN: 9814499013
Format: PDF
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For almost two decades Prof. Shifman, a clear and pedagogical expositor, has been giving review lectures on frontier topics in theoretical high energy physics. This two-volume book is a collection of some of the best of those lectures. The lectures written in the 1980's and early 1990's have been revised and updated specifically for this publication. The lectures in this book are intended for beginners — graduate students and young researchers — who are about to delve into the intricacies of the theory. They were used by the author in his course “Advanced Modern Field Theory and Its Applications”, given in the academic year 1994/95 at the University of Minnesota. A wide range of key topics is covered. In Volume 1, the first two chapters are devoted to quantum chromodynamics as the theory of hadrons. The author gives an in-depth discussion of a variety of powerful methods based on Wilson's operator product expansion. Chapter 3 (written together with V Novikov, A Vainshtein, and V Zakharov) is the most systematic and pedagogical presentation of instantons in the gauge theories one can find in the literature. Chapter 4 introduces supersymmetry. Chapter 5, concluding this volume, reviews the fascinating dynamics of supersymmetric gauge theories in the strong coupling regime. Chapter 6, which opens Volume 2, is a culmination of the supersymmetric theme. It gives a state-of-the-art description of the breakthrough developments in supersymmetric gauge theories. It has been written specifically for this book by A Vainshtein and the author. Chapter 7 is designed as a primer of two-dimensional conformal field theory, which constitutes the basis of modern string theory. Chapter 8, the last, presents remarkable new findings in quantum mechanics. Every chapter contains exercises and a list of recommended literature. Prof. Shifman has been an active participant and significant contributor in the development of the ideas presented in this book. This accounts for the historical remarks and digressions interspersed in the book, enhancing its pedagogical role. The book will serve as a comprehensive reference and textbook for all graduate students and researchers interested in modern particle physics. It will also be a useful guide for lecturers. Foreword Foreword (395k) Sample Chapter(s) Chapter 1: Lectures on Heavy Quarks in Quantum Chromodynamics (4,768k) Chapter 6: Instantons Versus Supersymmetry: Fifteen Years Later (7,584k) Contents: Lectures on Heavy Quarks in Quantum Chromodynamics (M A Shifman)Snapshots of Hadrons, or the Story of How the Vacuum Medium Determines the Properties of the Classical Mesons Which are Produced, Live and Die in the QCD Vacuum (M A Shifman)ABC of Instantons (V A Novikov et al.)Beginning Supersymmetry (Supersymmetry in Quantum Mechanics) (M A Shifman)Nonperturbative Dynamics in Supersymmetric Gauge Theories (M A Shifman)Instantons Versus Supersymmetry: Fifteen Years Later (M A Shifman & A I Vainshtein)Two-Dimensional Conformal Field Theory. A Primer (M A Shifman)New Findings in Quantum Mechanics (Partial Algebraization of the Spectral Problem) (M A Shifman) keywords:Quantum Chromodynamics (QCD);Heavy Quarks;Operator Product Expansion;Instantons;Supersymmetry;Strong Coupling;Conformal Field Theory;Quasi-Exactly Solvable;QCD Sum Rules “The treatment of each topic is clear and rigorous, expounded in vigorous prose and leavened from time to time with strong opinions frankly expressed … I can enthusiastically recommend Shifman's monographs as essential supplementary reading for any of the topics they touch.” Physics Today

Frontiers in Number Theory Physics and Geometry II

Author: Pierre E. Cartier
Publisher: Springer Science & Business Media
ISBN: 3540303081
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Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

Strings Branes and Gravity

Author: Jeffrey Harvey
Publisher: World Scientific
ISBN: 9789812799630
Format: PDF
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Many of the topics in this book are outgrowths of the spectacular new understanding of duality in string theory which emerged around 1995. They include the AdS/CFT correspondence and its relation to holography, the matrix theory formulation of M theory, the structure of black holes in string theory, the structure of D-branes and M-branes, and detailed development of dualities with N = 1 and N = 2 supersymmetry. In addition, there are lectures covering experimental and phenomenological aspects of the Standard Model and its extensions, and discussions on cosmology including both theoretical aspects and the exciting new experimental evidence for a non-zero cosmological constant. Contents: TASI Lectures on Branes, Black Holes and Anti-De Sitter Space (M J Duff); D-Brane Primer (C V Johnson); TASI Lectures on Black Holes in String Theory (A W Peet); TASI Lectures: Cosmology for String Theorists (S M Carroll); TASI Lectures on Matrix Theory (T Banks); TASI Lectures on M Theory Phenomenology (M Dine); TASI Lectures: Introduction to the AdS/CFT Correspondence (I R Klebanov); TASI Lectures on Compactification and Duality (D R Morrison); Compactification, Geometry and Duality: N =2 (P S Aspinwall); TASI Lectures on Non-BPS D-Brane Systems (J H Schwarz); Lectures on Warped Compactifications and Stringy Brane Constructions (S Kachru); TASI Lectures on the Holographic Principle (D Bigatti & L Susskind). Readership: Graduate students, postdoctoral fellows and researchers in high energy physics.