Field Theory

A Path Integral Approach (Third Edition)

By: Ashok Das

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eText | 22 February 2019 | Edition Number 3

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This unique book describes quantum field theory completely within the context of path integrals. With its utility in a variety of fields in physics, the subject matter is primarily developed within the context of quantum mechanics before going into specialized areas.

All the existing chapters of the previous edition have been expanded for more clarity. The chapter on anomalies and the Schwinger model has been completely rewritten for better logical clarity. Two new chapters have been added at the request of students and faculty worldwide. The first describes Schwinger's proper time method with simple examples both at zero and at finite temperature while the second develops the idea of zeta function regularization with simple examples.

This latest edition is a comprehensive and much expanded version of the original text.

Contents:

Introduction
Path Integrals and Quantum Mechanics
Harmonic Oscillator
Generating Functional
Path Integrals for Fermions
Supersymmetry
Semi-Classical Methods
Path Integral for the Double Well
Path Integral for Relativistic Theories
Effective Action
Invariances and Their Consequences
Gauge Theories
Anomalies
Systems at Finite Temperature
Ising Model
Proper Time Formalism
Zeta Function Regularization
Index

Readership: Researchers and practitioners in high energy, theoretical and quantum physics.Path Integrals;Harmonic Oscillator;Fermions;Supersymmetry;Double Well;Ising Model00