Anomalies in Quantum Field Theory

Anomalies in Quantum Field Theory
Author: Reinhold A. Bertlmann
Publisher: Oxford University Press
Total Pages: 590
Release: 2000-11-02
Genre: Science
ISBN: 9780198507628

This text presents the different aspects of the study of anomalies. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. It includes derivations and calculations

Theoretical Anomalies

Theoretical Anomalies
Author: Michael Taylor
Publisher: Dorrance Publishing
Total Pages: 316
Release: 2009-12
Genre: Fiction
ISBN: 143490296X

Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology

Superstring Theory: Volume 2, Loop Amplitudes, Anomalies and Phenomenology
Author: Michael B. Green
Publisher: Cambridge University Press
Total Pages: 608
Release: 1988-07-29
Genre: Science
ISBN: 9780521357531

A two-volume systematic exposition of superstring theory and its applications which presents many of the new mathematical tools that theoretical physicists are likely to need in coming years. This volume contains an introduction to superstrings

Fermions and Anomalies in Quantum Field Theories

Fermions and Anomalies in Quantum Field Theories
Author: Loriano Bonora
Publisher: Springer Nature
Total Pages: 479
Release: 2023-05-04
Genre: Science
ISBN: 3031219287

This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories. The book is targeted to researchers and graduate students.

Adventures In Theoretical Physics: Selected Papers With Commentaries

Adventures In Theoretical Physics: Selected Papers With Commentaries
Author: Stephen L Adler
Publisher: World Scientific
Total Pages: 761
Release: 2006-01-16
Genre: Science
ISBN: 9814480118

During the period 1964-1972, Stephen L Adler wrote seminal papers on high energy neutrino processes, current algebras, soft pion theorems, sum rules, and perturbation theory anomalies that helped lay the foundations for our current standard model of elementary particle physics. These papers are reprinted here together with detailed historical commentaries describing how they evolved, their relation to other work in the field, and their connection to recent literature. Later important work by Dr Adler on a wide range of topics in fundamental theory, phenomenology, and numerical methods, and their related historical background, is also covered in the commentaries and reprints.This book will be a valuable resource for graduate students and researchers in the fields in which Dr Adler has worked, and for historians of science studying physics in the final third of the twentieth century, a period in which an enduring synthesis was achieved.

Anomalies in Net Present Value, Returns and Polynomials, and Regret Theory in Decision-Making

Anomalies in Net Present Value, Returns and Polynomials, and Regret Theory in Decision-Making
Author: Michael C. I. Nwogugu
Publisher: Springer
Total Pages: 336
Release: 2017-06-09
Genre: Business & Economics
ISBN: 1137446986

This book explores why Modified Internal Rate of Return (MIRR) and Net Present Value (NPV) are not necessarily accurate or efficient tools for valuation and decision-making. The author specifically addresses the biases and framing effects inherent in the NPV/MIRR/IRR model and in related approaches such as Adjusted Present Value (APV), Net Future Value (NFV), and by extension, Polynomials. In doing so, the book presents new ways of solving higher order polynomials using invariants and homomorphisms and explains why the “Fundamental Theorem of Algebra”, the Binomial Theorem and the “Descartes Sign Rule” are unreliable. Chapters also discuss how International Asset Pricing Theory (IAPT) and Intertemporal Capital Asset Pricing Models (ICAPM) can produce inaccurate results in certain circumstances. The conditions under which ICAPM and IAPT may be accurate are described; as well as why those conditions cannot, or are unlikely to, exist. The conditions under which negative interest rates may exist or are justified are also outlined. Moreover, the author explains why traditional Consumption-Savings-Investment-Production models of allocation can be inefficient, and then introduces a new model of allocation that can be applied to individuals, households and companies. Finally, the book explains why the Elasticity of Intertemporal Substitution is a flawed concept and introduces the Marginal Rate of Intertemporal Joint Substitution as a solution.

The Antinomies of Classical Thought: Marx and Durkheim (Theoretical Logic in Sociology)

The Antinomies of Classical Thought: Marx and Durkheim (Theoretical Logic in Sociology)
Author: Jeffrey C. Alexander
Publisher: Routledge
Total Pages: 592
Release: 2014-04-24
Genre: Social Science
ISBN: 1317808673

This volume challenges prevailing understanding of the two great founders of sociological thought. In a detailed and systematic way the author demonstrates how Marx and Durkheim gradually developed the fundamental frameworks for sociological materialism and idealism. While most recent interpreters of Marx have placed alienation and subjectivity at the centre of his work, Professor Alexander suggests that it was the later Marx’s very emphasis on alienation that allowed him to avoid conceptualizing subjectivity altogether. In Durkheim’s case, by contrast, the author argues that such objectivist theorizing informed the early work alone, and he demonstrates that in his later writings Durkheim elaborated an idealist theory that used religious life as an analytical model for studying the institutions of secular society.