Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Rearranging Dyson-Schwinger Equations
 
Karen Yeats Simon Fraser University, Burnaby, BC, Canada
Rearranging Dyson-Schwinger Equations
eBook ISBN:  978-1-4704-0612-7
Product Code:  MEMO/211/995.E
List Price: $70.00
MAA Member Price: $63.00
AMS Member Price: $42.00
Rearranging Dyson-Schwinger Equations
Click above image for expanded view
Rearranging Dyson-Schwinger Equations
Karen Yeats Simon Fraser University, Burnaby, BC, Canada
eBook ISBN:  978-1-4704-0612-7
Product Code:  MEMO/211/995.E
List Price: $70.00
MAA Member Price: $63.00
AMS Member Price: $42.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2112011; 82 pp
    MSC: Primary 81;

    Dyson-Schwinger equations are integral equations in quantum field theory that describe the Green functions of a theory and mirror the recursive decomposition of Feynman diagrams into subdiagrams. Taken as recursive equations, the Dyson-Schwinger equations describe perturbative quantum field theory. However, they also contain non-perturbative information.

    Using the Hopf algebra of Feynman graphs the author follows a sequence of reductions to convert the Dyson-Schwinger equations to a new system of differential equations.

  • Table of Contents
     
     
    • Chapters
    • Foreword
    • Preface
    • 1. Introduction
    • 2. Background
    • 3. Dyson-Schwinger equations
    • 4. The first recursion
    • 5. Reduction to one insertion place
    • 6. Reduction to geometric series
    • 7. The second recursion
    • 8. The radius of convergence
    • 9. The second recursion as a differential equation
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2112011; 82 pp
MSC: Primary 81;

Dyson-Schwinger equations are integral equations in quantum field theory that describe the Green functions of a theory and mirror the recursive decomposition of Feynman diagrams into subdiagrams. Taken as recursive equations, the Dyson-Schwinger equations describe perturbative quantum field theory. However, they also contain non-perturbative information.

Using the Hopf algebra of Feynman graphs the author follows a sequence of reductions to convert the Dyson-Schwinger equations to a new system of differential equations.

  • Chapters
  • Foreword
  • Preface
  • 1. Introduction
  • 2. Background
  • 3. Dyson-Schwinger equations
  • 4. The first recursion
  • 5. Reduction to one insertion place
  • 6. Reduction to geometric series
  • 7. The second recursion
  • 8. The radius of convergence
  • 9. The second recursion as a differential equation
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.