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Dynamics of classical and quantum fields : an intrduction / Girish S. Setlur.

By: Material type: TextTextPublication details: Boca Raton : CRC Press, c2014.Description: xvii, 370 p. : illustrations ; 26 cmISBN:
  • 9781466556287 (hardcover : alk. paper)
Subject(s): DDC classification:
  • 530 23 Se495
Contents:
1. The Countable and the Uncontable-- 2. Symmetries and Noether's Theorem-- 3. The Electromagnetic Field and Stress Energy Tensor-- 4. Elasticity Theory and Fluid Mechanics-- 5. Toward Quantum Fields: Scalar and Spinor Fields-- 6. Concept of Functional Integration-- 7. Quantum Mechanics Using Lagrangians: Path Integrals-- 8. Creation and Annihilation Operators in Fock Space-- 9. Quantum Fields on a Lattice-- 10. Green Functions: Matsubara and Nonequilibrium-- 11. Coherent State Path Integrals-- 12. Nonlocal Operators-- 13. Non-chiral Bosonization of Fermions in One Dimension-- Bibliography-- Index--
Summary: The book on classical and quantum field theory had better have a good reason to be. A good reason there is. Firstly, most books are either on quantum fields or classical fields, never both, barring perhaps a brief introduction to classical fields just enough to find application to quantum fields. Very few introductory texts mention dynamical symmetries which lead to conservation of the Runge Lenz vector in discussions of Noether's theorm.
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"A CRC titLe."

Includes bibliographical references (pages 341-362) and index.

1. The Countable and the Uncontable--
2. Symmetries and Noether's Theorem--
3. The Electromagnetic Field and Stress Energy Tensor--
4. Elasticity Theory and Fluid Mechanics--
5. Toward Quantum Fields: Scalar and Spinor Fields--
6. Concept of Functional Integration--
7. Quantum Mechanics Using Lagrangians: Path Integrals--
8. Creation and Annihilation Operators in Fock Space--
9. Quantum Fields on a Lattice--
10. Green Functions: Matsubara and Nonequilibrium--
11. Coherent State Path Integrals--
12. Nonlocal Operators--
13. Non-chiral Bosonization of Fermions in One Dimension--

Bibliography--
Index--

The book on classical and quantum field theory had better have a good reason to be. A good reason there is. Firstly, most books are either on quantum fields or classical fields, never both, barring perhaps a brief introduction to classical fields just enough to find application to quantum fields. Very few introductory texts mention dynamical symmetries which lead to conservation of the Runge Lenz vector in discussions of Noether's theorm.

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