1.

Record Nr.

UNINA9910454391803321

Autore

Kleinert Hagen

Titolo

Critical properties of [Greek letter phi]4-theories [[electronic resource] /] / Hagen Kleinert, Verena Schulte-Frohlinde

Pubbl/distr/stampa

River Edge, N.J., : World Scientific, c2001

ISBN

1-281-95148-X

9786611951481

981-279-994-X

Descrizione fisica

1 online resource (512p.)

Altri autori (Persone)

Schulte-FrohlindeVerena

Disciplina

530.143

Soggetti

Perturbation (Quantum dynamics)

Physics

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Definition of [phi]4-Theory; Feynman Diagrams; Diagrams in Momentum Space; Structural Properties of Perturbation Theory; Diagrams for Multicomponent Fields; Scale Transformations of Fields and Correlation Functions; Regularization of Feynman Integrals; Renormalization; Renormalization Group; Recursive Subtraction of UV-Divergences via R-Operation; Zero-Mass Approach to Counterterms; Calculation of Momentum Space Integrals; Generation of Diagrams; Results of the Five-Loop Calculation; Basic Resummation Theory; Critical Exponents of O(N)-Symmetric Theory; Cubic Anisotropy; Variational Perturbation Theory; Critical Exponents from Other Expansions; New Resummation Algorithm; Conclusion: Diagrammatic R-Operation Up to Five Loops; Contributions to Renormalization-Constants.

Sommario/riassunto

This work explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series.