From random walks to random matrices : selected topics in modern theoretical physics /

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Bibliographic Details
Main Authors: Zinn-Justin, Jean (Author)
Published: Oxford University Press,
Publisher Address: Oxford, United Kingdom :
Publication Dates: 2019.
Literature type: Book
Language: English
Edition: First edition.
Series: Oxford graduate texts
Subjects:
Carrier Form: xiv, 529 pages : illustrations ; 26 cm.
Bibliography: Includes bibliographical references (pages [501]-519) and index.
ISBN: 9780198787754
0198787758
Index Number: QC20
CLC: O413
O411.1
Call Number: O411.1/Z785
Contents: The random walk: Universality and continuum limit -- Functional integration: From path to field integrals -- The essential role of functional integrals in modern physics -- From infinities in QED to the general renormalization group -- Renormalization Group: From a general concept to numbers -- Critical phenomena: The field theory approach -- Stability of renormalization group fixed points and decay of correlations -- Quantum field theory: An effective theory -- The non-perturbative renormalization group -- O(N) vector model in the ordered phase: Goldstone modes -- Gauge invariance and gauge fixing -- The Higgs boson: A major discovery and a problem -- Quantum chromodynamics: A non-Abelian gauge theory -- From BRST symmetry to the Zinn-Justin equation -- Quantum field theory: Asymptotic safety -- Symmetries: From classical to quantum field theories -- Quantum anomalies: A few physics applications -- Periodic semi-classical vacuum, instantons and anomalies -- Field theory in a finite geometry: Finite size scaling -- The weakly interacting Bose gas at the critical temperature -- Quantum field theory at finite temperature -- Field theory: Peturbative expansion and summation methods -- Hyper-asymptotic expansions and instantons -- Renormalization group approach to matrix models.