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Hardcover ISBN:  9780821842737 
Product Code:  FIC/50 
List Price:  $145.00 
MAA Member Price:  $130.50 
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Product Code:  FIC/50.E 
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MAA Member Price:  $123.30 
AMS Member Price:  $109.60 
Hardcover ISBN:  9780821842737 
eBook ISBN:  9781470430849 
Product Code:  FIC/50.B 
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Book DetailsFields Institute CommunicationsVolume: 50; 2007; 404 ppMSC: Primary 81; 76; 60; 30; 82
This book covers a wide range of phenomena in the natural sciences dominated by notions of universality and renormalization. The contributions in this volume are equally broad in their approach to these phenomena, offering the mathematical as well as the perspective of the applied sciences. They explore renormalization theory in quantum field theory and statistical physics, and its connections to modern mathematics as well as physics on scales from the microscopic to the macroscopic.
Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
ReadershipGraduate students and research mathematicians interested in quantum field theory, statistical physics, physics and number theory, nonlinear dynamics, probability,geometic function theory, differential equations.

Table of Contents

Chapters

Stefano Arnone, Tim Morris and Oliver Rosten — Manifestly gauge invariant exact renormalization groups

Robert Bauer — SLE(8/3) and Brownian excursions in annuli

Vincent Beffara — Cardy’s formula on the triangular lattice, the easy way

Kurusch EbrahimiFard and Li Guo — RotaBaxter algebras in renormalization of perturbative quantum field theory

J. Gracey — Practicalities of renormalizing quantum field theories

Stefan Hollands — Quantum field theory in curved spacetime

A. Its, B.Q. Jin and V. Korepin — Entropy of $XY$ spin chain and block Toeplitz determinants

NamGyu Kang — On the quantitative boundary behavior of SLE

Michael Kozdron and Gregory Lawler — The configurational measure on mutually avoiding SLE paths

Dirk Kreimer — DysonSchwinger equations: From Hopf algebra to number theory

Gregory Lawler and Joan Lind — Twosided $SLE_{8/3}$ and the infinite selfavoiding polygon

D. McKeon — Using the renormalization group

John Palmer — Short distance behavior of scaling functions for the planar ising model

Ivan Todorov — Constructing conformal field theory models

Stefan Weinzierl — The art of computing loop integrals

J. ZinnJustin — The transition temperature of the weakly interacting Bose gas


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This book covers a wide range of phenomena in the natural sciences dominated by notions of universality and renormalization. The contributions in this volume are equally broad in their approach to these phenomena, offering the mathematical as well as the perspective of the applied sciences. They explore renormalization theory in quantum field theory and statistical physics, and its connections to modern mathematics as well as physics on scales from the microscopic to the macroscopic.
Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Graduate students and research mathematicians interested in quantum field theory, statistical physics, physics and number theory, nonlinear dynamics, probability,geometic function theory, differential equations.

Chapters

Stefano Arnone, Tim Morris and Oliver Rosten — Manifestly gauge invariant exact renormalization groups

Robert Bauer — SLE(8/3) and Brownian excursions in annuli

Vincent Beffara — Cardy’s formula on the triangular lattice, the easy way

Kurusch EbrahimiFard and Li Guo — RotaBaxter algebras in renormalization of perturbative quantum field theory

J. Gracey — Practicalities of renormalizing quantum field theories

Stefan Hollands — Quantum field theory in curved spacetime

A. Its, B.Q. Jin and V. Korepin — Entropy of $XY$ spin chain and block Toeplitz determinants

NamGyu Kang — On the quantitative boundary behavior of SLE

Michael Kozdron and Gregory Lawler — The configurational measure on mutually avoiding SLE paths

Dirk Kreimer — DysonSchwinger equations: From Hopf algebra to number theory

Gregory Lawler and Joan Lind — Twosided $SLE_{8/3}$ and the infinite selfavoiding polygon

D. McKeon — Using the renormalization group

John Palmer — Short distance behavior of scaling functions for the planar ising model

Ivan Todorov — Constructing conformal field theory models

Stefan Weinzierl — The art of computing loop integrals

J. ZinnJustin — The transition temperature of the weakly interacting Bose gas