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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 co-published 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.
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Table of Contents
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Chapters
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Stefano Arnone, Tim Morris and Oliver Rosten — Manifestly gauge invariant exact renormalization groups
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Robert Bauer — SLE(8/3) and Brownian excursions in annuli
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Vincent Beffara — Cardy’s formula on the triangular lattice, the easy way
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Kurusch Ebrahimi-Fard and Li Guo — Rota-Baxter algebras in renormalization of perturbative quantum field theory
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J. Gracey — Practicalities of renormalizing quantum field theories
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Stefan Hollands — Quantum field theory in curved spacetime
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A. Its, B.-Q. Jin and V. Korepin — Entropy of $XY$ spin chain and block Toeplitz determinants
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Nam-Gyu Kang — On the quantitative boundary behavior of SLE
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Michael Kozdron and Gregory Lawler — The configurational measure on mutually avoiding SLE paths
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Dirk Kreimer — Dyson-Schwinger equations: From Hopf algebra to number theory
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Gregory Lawler and Joan Lind — Two-sided $SLE_{8/3}$ and the infinite self-avoiding polygon
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D. McKeon — Using the renormalization group
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John Palmer — Short distance behavior of scaling functions for the planar ising model
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Ivan Todorov — Constructing conformal field theory models
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Stefan Weinzierl — The art of computing loop integrals
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J. Zinn-Justin — The transition temperature of the weakly interacting Bose gas
-
-
Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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 co-published 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 Ebrahimi-Fard and Li Guo — Rota-Baxter 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
-
Nam-Gyu Kang — On the quantitative boundary behavior of SLE
-
Michael Kozdron and Gregory Lawler — The configurational measure on mutually avoiding SLE paths
-
Dirk Kreimer — Dyson-Schwinger equations: From Hopf algebra to number theory
-
Gregory Lawler and Joan Lind — Two-sided $SLE_{8/3}$ and the infinite self-avoiding 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. Zinn-Justin — The transition temperature of the weakly interacting Bose gas
