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A Primer For Chiral Perturbation Theory

Author: Stefan Scherer
Publisher: Springer Science & Business Media
ISBN: 364219253X
Size: 49.22 MB
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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
Size: 43.84 MB
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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.

Time Harmonic Electromagnetic Fields In Chiral Media

Author: Akhlesh Lakhtakia
Publisher: Springer
ISBN: 9783662137703
Size: 35.52 MB
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This book deals with the fundamental aspects of electromagnetic field theory in chiral media in the frequency domain. All such aspects are covered: field equations, constitutive equations, integral equations and representations, Green's functions, radiation, reciprocity relations, and equivalence and duality relations. Scattering of waves by chiral spheres and cylinders are covered, and layered chiral media are examined. This book is timely both for theorists and experimentalists. Theorists can build upon the work to discover and predict new phenomena, while experimentalists may use it to design clever experiments and construct artificially chiral materials.

Principles Of Phase Structures In Particle Physics

Author: Hildegard Meyer-Ortmanns
Publisher: World Scientific
ISBN: 9814496278
Size: 23.35 MB
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The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase conversion between phases of different symmetries and different particle contents. The book is about a variety of analytical and numerical tools that are needed to study the phase structure of particle physics. To these belong convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as supplement to first-principle calculations. Contents:General Background from Statistical PhysicsField Theoretical Framework for Models in Particle PhysicsAnalytic Methods on the Lattice and in the ContinuumNumerical Methods in Lattice Field TheoriesEffective Actions in the ContinuumPhenomenological Applications to Relativistic Heavy-Ion Collisions Readership: Theoretical and high energy physicists. Keywords:

Supersymmetry And String Theory

Author: Michael Dine
Publisher: Cambridge University Press
ISBN: 1107048389
Size: 37.54 MB
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This fully updated second edition provides a thorough overview of string theory and supersymmetry and includes the groundbreaking Higgs discovery.

Itep Lectures On Particle Physics And Field Theory

Author: M A Shifman
Publisher: World Scientific
ISBN: 9814499013
Size: 67.89 MB
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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

Physical Foundations Of Cosmology

Author: Viatcheslav Mukhanov
Publisher: Cambridge University Press
ISBN: 1139447114
Size: 22.57 MB
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Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.

Quantum Objects

Author: Gregg Jaeger
Publisher: Springer Science & Business Media
ISBN: 3642376290
Size: 58.29 MB
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This monograph identifies the essential characteristics of the objects described by current quantum theory and considers their relationship to space-time. In the process, it explicates the senses in which quantum objects may be consistently considered to have parts of which they may be composed or into which they may be decomposed. The book also demonstrates the degree to which reduction is possible in quantum mechanics, showing it to be related to the objective indefiniteness of quantum properties and the strong non-local correlations that can occur between the physical quantities of quantum subsystems. Careful attention is paid to the relationships among such property correlations, physical causation, probability, and symmetry in quantum theory. In this way, the text identifies and clarifies the conceptual grounds underlying the unique nature of many quantum phenomena.

New Paths Towards Quantum Gravity

Author: Bernhelm Booß-Bavnbek
Publisher: Springer
ISBN: 3642118976
Size: 73.84 MB
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Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity. New ideas - and there are many of them for this is an exciting field of research - often diverge to a degree where it seems impossible to decide in which of the many possible direction(s) the ongoing developments should be further sustained. The division of the book in two (overlapping) parts reflects the duality between the physical vision and the mathematical construction. The former is represented by tutorial reviews on non-commutative geometry, on space-time discretization and renormalization and on gauge field path integrals. The latter one by lectures on cohomology, on stochastic geometry and on mathematical tools for the effective action in quantum gravity. The book will benefit everyone working or entering the field of quantum gravity research.

Quantum Field Theory

Author: G. B. Folland
Publisher: American Mathematical Soc.
ISBN: 0821847058
Size: 80.55 MB
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Quantum field theory has been a great success for physics, but it is difficult for mathematicians to learn because it is mathematically incomplete. Folland, who is a mathematician, has spent considerable time digesting the physical theory and sorting out the mathematical issues in it. Fortunately for mathematicians, Folland is a gifted expositor. The purpose of this book is to present the elements of quantum field theory, with the goal of understanding the behavior of elementary particles rather than building formal mathematical structures, in a form that will be comprehensible to mathematicians. Rigorous definitions and arguments are presented as far as they are available, but the text proceeds on a more informal level when necessary, with due care in identifying the difficulties. The book begins with a review of classical physics and quantum mechanics, then proceeds through the construction of free quantum fields to the perturbation-theoretic development of interacting field theory and renormalization theory, with emphasis on quantum electrodynamics. The final two chapters present the functional integral approach and the elements of gauge field theory, including the Salam-Weinberg model of electromagnetic and weak interactions.