PARTICLES AND QUANTUM FIELDS

This Is An Introductory Book On Elementary Particles And Their Interactions. It Starts Out With ManyBody Schrdinger Theory And Second Quantization And Leads, Via Its Generalization, To Relativistic Fields Of Various Spins And To Gravity. The Text Begins With The Best Known Quantum Field Theory So Far, The Quantum Electrodynamics Of Photon And Electrons (Qed). It Continues By Developing The Theory Of Strong Interactions Between The Elementary Constituents Of Matter (Quarks). This Is Possible Due To The Property Called Asymptotic Freedom. On The Way One Has To Tackle The Problem Of Removing Various Infinities By Renormalization. The Divergent Sums Of Infinitely Many Diagrams Are Performed With The Renormalization Group Or By Variational Perturbation Theory (Vpt). The Latter Is An Outcome Of The FeynmanKleinert Variational Approach To Path Integrals Discussed In Two Earlier Books Of The Author, One Representing A Comprehensive Treatise On Path Integrals, The Other Dealing With Critical Phenomena. Unlike Ordinary Perturbation Theory, Vpt Produces Uniformly Convergent Series Which Are Valid From Weak To Strong Couplings, Where They Describe Critical Phenomena. The Present Book Develops The Theory Of Effective Actions Which Allow To Treat Quantum Phenomena With Classical Formalism. For Example, It Derives The Observed Anomalous Power Laws Of Strongly Interacting Theories From An Extremum Of The Action. Their Fluctuations Are Not Based On Gaussian Distributions, As In The Perturbative Treatment Of Quantum Field Theories, Or In AsymptoticallyFree Theories, But On Deviations From The Average Which Are Much Larger And Which Obey PowerLike Distributions. Exactly Solvable Models Are Discussed And Their Physical Properties Are Compared With Those Derived From General Methods. In The Last Br>Chapter We Discuss The Problem Of Quantizing The Classical Theory Of Gravity.