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[null,"1.","Record Nr.",null,"UNINA9910455537403321"]
[null,null,"Autore",null,"Rubakov V. A"]
[null,null,"Titolo",null,"Classical theory of gauge fields [[electronic resource] /] / Valery Rubakov ; translated by Stephen S. Wilson"]
[null,null,"Pubbl/distr/stampa",null,"Princeton, N.J., : Princeton University Press, c2002"]
[null,null,"ISBN",null,"1-282-15923-2"]
[{"$nulls":4},"9786612159237"]
[{"$nulls":4},"1-4008-2509-1"]
[{"$nulls":4},"1-4008-1458-8"]
[null,null,"Edizione",null,"[Course Book]"]
[null,null,"Descrizione fisica",null,"1 online resource (457 p.)"]
[null,null,"Disciplina",null,"530.14/35"]
[null,null,"Soggetti",null,"Gauge fields (Physics)"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 429-439) and index."]
[null,null,"Nota di contenuto",null,"Front matter -- Contents -- Preface -- Part I -- Chapter 1. Gauge Principle In Electrodynamics -- Chapter 2. Scalar And Vector Fields -- Chapter 3. Elements of the Theory of Lie Groups and Algebras -- Chapter 4. Non-Abelian Gauge Fields -- Chapter 5. Spontaneous Breaking of Global Symmetry -- Chapter 6. Higgs Mechanism -- Supplementary Problems for Part I -- Part II -- Chapter 7. The Simplest Topological Solitons -- Chapter 8. Elements of Homotopy Theory -- Chapter 9. Magnetic Monopoles -- Chapter 10. Non-Topological Solitons -- Chapter 11. Tunneling and Euclidean Classical Solutions in Quantum Mechanics -- Chapter 12. Decay of a False Vacuum in Scalar Field Theory -- Chapter 13. Instantons and Sphalerons in Gauge Theories -- Supplementary Problems for Part II -- Part III -- Chapter 14. Fermions in Background Fields -- Chapter 15. Fermions and Topological External Fields in Two-dimensional Models -- Chapter 16. Fermions in Background Fields of Solitons and Strings in Four-Dimensional Space-Time -- Chapter 17. Non-Conservation of Fermion Quantum Numbers in Four-dimensional Non-Abelian Theories -- Supplementary Problems for Part III -- Appendix Classical Solutions and the Functional Integral -- Bibliography -- Index"]
[null,null,null,"Sommario/riassunto","Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the "]
[{"$nulls":4},"advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields."]
[null,"2.","Record Nr.",null,"UNINA9910479865003321"]
[null,null,"Autore",null,"Igusa Kiyoshi <1949->"]
[null,null,"Titolo",null,"Higher complex torsion and the framing principle / / Kiyoshi Igusa"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [2005]"]
[{"$nulls":4},"©2005"]
[null,null,"ISBN",null,"1-4704-0436-2"]
[null,null,"Descrizione fisica",null,"1 online resource (114 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 835"]
[null,null,"Disciplina",null,"510 s"]
[{"$nulls":4},"514/.72"]
[null,null,"Soggetti",null,"Reidemeister torsion"]
[{"$nulls":4},"Differentiable mappings"]
[{"$nulls":4},"Diffeomorphisms"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 177, number 835 (third of 4 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Introduction\"\"; \"\"0.1. Higher Franz-Reidemeister torsion\"\"; \"\"0.2. Construction of Ï?[sub(k)]\"\"; \"\"0.3. Framing Principle\"\"; \"\"0.4. Complex torsion\"\"; \"\"Chapter 1. Complex torsion\"\"; \"\"1.1. Definition for closed AC fibers\"\"; \"\"1.2. Generalized Miller-Morita-Mumford classes\"\"; \"\"1.3. Complex Framing Principle\"\"; \"\"1.4. Nonempty boundary case\"\"; \"\"Chapter 2. Definition of higher FRâ€?torsion\"\"; \"\"2.1. Generalized Morse functions\"\"; \"\"2.2. Families of chain complexes\"\"; \"\"2.3. Monomial functors\"\"; \"\"2.4. Filtered chain complexes\"\"; \"\"2.5. Subfunctors\"\""]
[{"$nulls":4},"\"\"2.6. The Whitehead category\"\"\"\"2.7. Definition in acyclic case\"\"; \"\"2.8. Families of matrices as flat superconnections\"\"; \"\"2.9. Independence of birth-death points\"\"; \"\"2.10. Positive suspension lemma\"\"; \"\"2.11. Definition in upper triangular case\"\"; \"\"Chapter 3. Properties of higher FRâ€?torsion\"\"; \"\"3.1. Basic properties\"\"; \"\"3.2. Suspension Theorem\"\"; \"\"3.3. Additivity, Splitting Lemma\"\"; \"\"3.4. Applications of the Splitting Lemma\"\"; \"\"3.5. Local equivalence lemma\"\"; \"\"3.6. Product formula\"\"; \"\"3.7. Transfer for coverings\"\"; \"\"3.8. More transfer formulas\"\""]
[{"$nulls":4},"\"\"Chapter 4. The Framing Principle\"\"\"\"4.1. Statement for Morse bundles\"\"; \"\"4.2. General statement\"\"; \"\"4.3. Push-down/transfer\"\"; \"\"4.4. The Framing Principle\"\"; \"\"Chapter 5. Proof of the Framing Principle\"\"; \"\"5.1. Transfer theorem\"\"; \"\"5.2. Stratified deformation "]
[{"$nulls":4},"lemma\"\"; \"\"5.3. Proof of transfer theorem\"\"; \"\"5.4. Proof of Framing Principle\"\"; \"\"Chapter 6. Applications of the Framing Principle\"\"; \"\"6.1. Torelli group\"\"; \"\"6.2. Even dimensional fibers\"\"; \"\"6.3. Unoriented fibers\"\"; \"\"6.4. Vertical normal disk bundle\"\"; \"\"Chapter 7. The Stability Theorem\"\"; \"\"7.1. Definitions\"\""]
[{"$nulls":4},"\"\"7.2. Stability for C(M)\"\"\"\"7.3. Involution\"\"; \"\"7.4. Disks and spheres\"\"; \"\"7.5. Relation to higher torsion\"\"; \"\"Bibliography\"\""]