Quantum Fields and Processes: A Combinatorial Approach

Book Description

Wick ordering of creation and annihilation operators is of fundamental importance for averages and correlations in field and, by extension, in the Hudson-Parthasarathy of stochastic processes, mechanics, stochastic processes, and probability. This book develops the unified combinatorial behind these examples, starting with the simplest mathematically, and working up to the Fock space setting for quantum fields. Emphasizing ideas from combinatorics such as the role of lattice of partitions for multiple stochastic integrals by Wallstrom-Rota and combinatorial species by Joyal, it presents insights coming from quantum probability. It also introduces a 'field ' which acts as a succinct alternative to standard Feynman diagrams and formulates quantum field theory (cumulant moments, Dyson-Schwinger equation, tree expansions, 1-particle irreducibility) in this language. Featuring many worked examples, the book is aimed at physicists, quantum field theorists, and probabilists, including graduate and advanced undergraduate students.

Book Details

  • Title: Quantum Fields and Processes: A Combinatorial Approach
  • Author: ,
  • Length: 338 pages
  • Edition: 1
  • Language: English
  • Publisher:
  • Publication Date: 2018-04-12
  • ISBN-10: 1108416764
  • ISBN-13: 9781108416764
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