Quantum superfield supersymmetry

Quantum superfield supersymmetry

by Petrov, Albert

Type Book
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This book presents the supereld description of various supersymmetric eld theory models in three- and four-dimensional space-times. A mapping between supereld and component formulations of supersymmetric eld theories is discussed. The author also describes the methodology for calculating quantum corrections in these theories employing supergraph formalism and functional methods, and illustrates these approaches with many detailed examples of how such calculations are performed for various super…

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Title Statements

  • Full title :Quantum superfield supersymmetry / Albert Petrov.

Summary

This book presents the supereld description of various supersymmetric eld theory models in three- and four-dimensional space-times. A mapping between supereld and component formulations of supersymmetric eld theories is discussed. The author also describes the methodology for calculating quantum corrections in these theories employing supergraph formalism and functional methods, and illustrates these approaches with many detailed examples of how such calculations are performed for various supereld models.

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Edition Statements

  • Publication Date:2021

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Cham, Switzerland
  • Language:eng
  • Publication Date:2021

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9783030681364, 303068136X
  • DOI:10.1007/978-3-030-68136-4
  • oclc:on1239962541
  • LC Classification:QC174.17.S9
  • Dewey Decimal:539.7/25

Table of Contents

Intro -- Preface -- Contents -- 1 Introduction -- 2 Effective Action and Loop Expansion: General Formulation -- 3 Superfield Description of Three-Dimensional Supersymmetric Theories -- 3.1 Definitions and Conventions -- 3.2 Field Theory Models -- 3.3 Non-Abelian Gauge Models -- 3.4 Quantum Description for the Superfield Models -- 3.5 Effective Action of the Three-Dimensional Superfield Theories and the Proper-Time Method -- 3.6 Supersymmetry in Three-Dimensional Space-Time and Noncommutativity -- 3.7 On the Noncommutativity in the Fermionic Sector of the Superspace -- 3.8 Conclusion

4 Four-Dimensional Superfield Supersymmetry -- 4.1 General Properties of the Four-Dimensional Superspace -- 4.2 Field Theory Models in the Four-Dimensional Superspace -- 4.2.1 Chiral Superfield Models -- 4.2.2 Abelian Gauge Superfield Model -- 4.2.3 Non-Abelian Gauge Theories -- 4.3 Generating Functional and Green Functions for Superfields -- 4.4 Feynman Supergraphs -- 4.5 Superficial Degree of Divergence. Renormalization -- 4.6 Effective Action in Superfield Theories. Superfield Proper-Time Technique -- 4.7 Problem of Superfield Effective Potential

4.8 The Wess-Zumino Model and a Problem of the Chir…

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