000 02841nam a22003978i 4500
001 CR9780511585913
003 UkCbUP
005 20200124160233.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090615s2007||||enk o ||1 0|eng|d
020 _a9780511585913 (ebook)
020 _z9780521876766 (hardback)
020 _z9781107406308 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.17.S32
_bT66 2007
082 0 0 _a530.12
_222
100 1 _aToms, David J.,
_d1953-
_eauthor.
245 1 4 _aThe Schwinger action principle and effective action /
_cDavid J. Toms.
246 3 _aThe Schwinger Action Principle & Effective Action
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (xi, 495 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on mathematical physics
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _a1. Action principle in classical mechanics -- 2. Action principle in classical field theory -- 3. Action principle in quantum theory -- 4. The effective action -- 5. Quantum statistical mechanics -- 6. Effective action at finite temperature -- 7. Further applications of the Schwinger action principle -- 8. General definition of the effective action -- App. 1. Mathematical appendices -- App. 2. Review of special relativity -- App. 3. Interaction picture.
520 _aThis book, first published in 2007, is an introduction to the Schwinger action principle in quantum mechanics and quantum field theory, with applications to a variety of different models including Bose-Einstein condensation, the Casimir effect and trapped Fermi gases. The book begins with a brief review of the action principle in classical mechanics and classical field theory. It then moves on to quantum field theory, focusing on the effective action method. This is introduced as simply as possible by using the zero-point energy of the simple harmonic oscillator as the starting point. The book concludes with a more complete definition of the effective action, and demonstrates how the provisional definition used earlier is the first term in the systematic loop expansion. The renormalization of interacting scalar field theory is presented to two-loop order. This book will interest graduate students and researchers in theoretical physics who are familiar with quantum mechanics.
650 0 _aSchwinger action principle.
650 0 _aQuantum theory.
650 0 _aMathematical physics.
776 0 8 _iPrint version:
_z9780521876766
830 0 _aCambridge monographs on mathematical physics.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511585913
999 _c517814
_d517812