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06588aam a2200301 i 4500
001 74E203CA74A711EA8EBE956E97128E48
003 SILO
005 20200402010032
008 190222t20202020enka     b    001 0 eng c
010    $a 2019006491
020    $a 1108493998
020    $a 9781108493994
035    $a (OCoLC)1091291703
040    $a OU/DLC $b eng $e rda $c DLC $d OCLCF $d OCLCO $d YDX $d UKMGB $d CHVBK $d OCLCO $d YDX $d IPS $d SILO
042    $a pcc
050 00 $a QC174.45 N353 2020
100 1  $a Năstase, Horațiu, $d 1972- $e author.
245 10 $a Introduction to quantum field theory / $c Horațiu Năstase.
264  1 $a Cambridge, United Kingdom ; $b Cambridge University Press, $c 2020.
300    $a xxvii, 705 pages ; $c 26 cm
504    $a Includes bibliographical references and index.
520    $a "This book is meant as a two-semester course in quantum field theory, skipping some material that can be studied independently. The chapters with asterisk I have not taught in my class, and can be skipped in a first reading, or when teaching the material. The book and the corresponding course is supposed to follow a course in classical field theory, however, I have tried to make the book self-contained. That means that only a thorough knowledge of classical mechanics, quantum mechanics, and electromagnetism is really needed, though it is preferrable to have firrst classical field theory. I will only review classical field theory, without going in great detail"-- $c Provided by publisher.
650  0 $a Quantum field theory.
880 0  $6 505-00 $a I. Quantum fields, general formalism, and tree processes -- Review of classical field theory: Lagrangians, Lorentz group and its representations, Noether theorem -- Quantum mechanics: Harmonic oscillator and quantum mechanics in terms of path integrals -- Canonical quantization of scalar fields -- Propagators for free scalar fields -- Interaction picture and Wick theorem for Λφ4 in operator formalism -- Feynman rules for Λφ4 from the operator formalism -- The driven (forced) harmonic oscillator -- Euclidean formulation and finite temperature field theory -- The Feynman path integral for a scalar field -- Wick theorem for path integrals and Feynman rules part I -- Feynman rules in x-space and p-Space -- Quantization of the Dirac field and fermionic path integral -- Wick theorem, Gaussian integration and Feynman rules for fermions -- Spin sums, Dirac field bilinears and C,P,T symmetries for fermions -- Dirac quantization of constrained systems -- Quantization of gauge fields, their path integral, and the photon propagator -- Generating functional for connected Green's functions and the effective action (1PI Diagrams) -- Dyson-Schwinger equations and Ward identities -- Cross sections and the S-Matrix -- The S-matrix and Feynman diagrams -- The optical theorem and the cutting rules -- Unitarity and the largest time equation -- QED: Definition and Feynman rules; Ward-Takahashi identities -- Nonrelativistic processes: Yukawa potential, Coloumb potential, and Rutherford scattering -- E+E− → L¯ L unpolarized cross section -- E+E− →L¯ L polarized cross section; crossing symmetry -- (Unpolarized) Compton scattering -- The Helicity Spinor formalism -- Gluon amplitudes, the Parke-Taylor formula and the BCFW construction -- Review of path integral and operator formalism and the Feynman diagram expansion -- Loops, renormalization, quantum chromodynamics, and special topics -- One-loop determinants, vacuum energy and zeta function regularization -- One-loop divergences for scalars -- Regularization, definitions: Cut-off, Pauli-Villars, dimensional regularization, and general Feynman polarization -- One-loop renormalization for scalars and counterterms in dimensional regularization -- Renormalization conditions and the renormalization group -- One-loop renormalizability in QED -- Physical applications of one-loop results 1: Vacuum polarization -- Physical applications of one-loop results 2: Anomalous magnetic moment and Lamb shift -- Two-loop example and multiloop generalization -- The LSZ reduction formula -- The Coleman-Weinberg mechanism for one-loop potential -- Quantization of gauge theories I: Path integrals and Fadeev-Popov -- Quantization of gauge theories II: Propagators and Feynman rules -- One-loop renormalizability of gauge theories -- Asymptotic freedom. BRST symmetry -- Lee-Zinn-Justin identities and the structure of divergences (Formal renormalization of gauge theories) -- BRST quantization -- QCD: Definition, deep inelastic scattering -- Parton evolution and Altarelli-Parisi equation -- The Wilson loop and the Makeenko-Migdal loop equation. Order parameters; 't Hooft loop -- IR divergences in QED -- IR safety and renormalization in QCD: General IR-factorized form of amplitudes -- Factorization and the Kinoshita-Lee-Nauenberg theorem -- Perturbative anomalies: chiral and gauge -- Anomalies in path integrals - the Fujikawa method, consistent vs covariant anomalies, and descent equations -- Physical applications of anomalies, 't Hooft's UV-IR anomaly matching conditions, and anomaly cancellation -- The Froissart unitarity bound and the Heisenberg model -- The operator product expansion, renormalization of composite operators and anomalous dimension matrices -- Manipulating loop amplitudes: Passarino-Veltman reduction and generalized unitarity cut -- Analyzing the result for amplitudes: polylogs, transcendentality, and symbology -- Representations and symmetries for loop amplitudes: amplitudes in twistor space , dual conformal invariance, and polytope methods -- The Wilsonian effective action, effective field theory and applications -- Kadanoff blocking and the renormalization group: connection with condensed matter -- Lattice field theory -- The Higgs mechanism -- Renormalization of spontaneously broken gauge theories I: The Goldstone theorem and R€ gauges -- Renormalization of spontaneously broken gauge theories II: the SU(2)-Higgs model -- Pseudo-Goldstone bosons, nonlinear sigma model and chiral perturbation theory -- The background field method -- Finite temperature quantum field theory I: Nonrelativistic ("Manybody") case-- Finite temperature quantum field theory II: imaginary and real-time formalisms -- Finite temperature quantum field theory III: Thermofield dynamics and Schwinger-Keldysh "In-In" formalism for thermal and nonequilibrium solutions. Applications.
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952    $l USUX851 $d 20200505015421.0
956    $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=74E203CA74A711EA8EBE956E97128E48
994    $a C0 $b IWA