000 04196nam a22005295i 4500
001 978-3-540-34764-4
003 DE-He213
005 20161121230953.0
007 cr nn 008mamaa
008 100301s2006 gw | s |||| 0|eng d
020 _a9783540347644
_9978-3-540-34764-4
024 7 _a10.1007/978-3-540-34764-4
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.1
_223
100 1 _aZeidler, Eberhard.
_eauthor.
245 1 0 _aQuantum Field Theory I: Basics in Mathematics and Physics
_h[electronic resource] :
_bA Bridge between Mathematicians and Physicists /
_cby Eberhard Zeidler.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
300 _aXXIV, 1052 p. 94 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPrologue -- Historical Introduction -- Phenomenology of the Standard Model for Elementary Particles -- The Challenge of Different Scales in Nature -- Basic Techniques in Mathematics -- Analyticity -- A Glance at Topology -- Many-Particle Systems in Mathematics and Physics -- Rigorous Finite-Dimensional Magic Formulas of Quantum Field Theory -- Rigorous Finite-Dimensional Perturbation Theory -- Fermions and the Calculus for Grassmann Variables -- Infinite-Dimensional Hilbert Spaces -- Distributions and Green’s Functions -- Distributions and Physics -- Heuristic Magic Formulas of Quantum Field Theory -- Basic Strategies in Quantum Field Theory -- The Response Approach -- The Operator Approach -- Peculiarities of Gauge Theories -- A Panorama of the Literature.
520 _aThis is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which is beyond the usual curriculum in physics. It is the author's goal to present the state of the art of realizing Einstein's dream of a unified theory for the four fundamental forces in the universe (gravitational, electromagnetic, strong, and weak interaction). From the reviews: "… Quantum field theory is one of the great intellectual edifices in the history of human thought. … This volume differs from other books on quantum field theory in its greater emphasis on the interaction of physics with mathematics. … an impressive work of scholarship." (William G. Faris, SIAM Review, Vol. 50 (2), 2008) "… it is a fun book for practicing quantum field theorists to browse, and it may be similarly enjoyed by mathematical colleagues. Its ultimate value may lie in encouraging students to enter this challenging interdisciplinary area of mathematics and physics. Summing Up: Recommended. Upper-division undergraduates through faculty." (M. C. Ogilvie, CHOICE, Vol. 44 (9), May, 2007).
650 0 _aPhysics.
650 0 _aMathematical analysis.
650 0 _aAnalysis (Mathematics).
650 0 _aFunctional analysis.
650 0 _aPartial differential equations.
650 0 _aElementary particles (Physics).
650 0 _aQuantum field theory.
650 1 4 _aPhysics.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aAnalysis.
650 2 4 _aElementary Particles, Quantum Field Theory.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aFunctional Analysis.
650 2 4 _aPartial Differential Equations.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540347620
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-34764-4
912 _aZDB-2-PHA
950 _aPhysics and Astronomy (Springer-11651)
999 _c506619
_d506619