Universality and renormalization : from stochastic evolution to renormalization of quantum fields

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Universality and renormalization : from stochastic evolution to renormalization of quantum fields

Ilia Binder, Dirk Kreimer, editors

(Fields Institute communications, v. 50)

American Mathematical Society, c2007

Available at  / 17 libraries

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Includes bibliographical references

Description and Table of Contents

Description

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. Information for our distributors: Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Table of Contents

Manifestly gauge invariant exact renormalization groups by S. Arnone, T. R. Morris, and O. J. Rosten SLE(8/3) and Brownian excursions in annuli by R. O. Bauer Cardy's formula on the triangular lattice, the easy way by V Beffara Rota-Baxter algebras in renormalization of perturbative quantum field theory by K. Ebrahimi-Fard and L. Guo Practicalities of renormalizing quantum field theories by J. A. Gracey Quantum field theory in curved spacetime by S. Hollands Entropy of $XY$ spin chain and block Toeplitz determinants by A. R. Its, B.-Q. Jin, and V. E. Korepin On the quantitative boundary behavior of SLE by N.-G. Kang The configurational measure on mutually avoiding SLE paths by M. J. Kozdron and G. F. Lawler Dyson-Schwinger equations: From Hopf algebra to number theory by D. Kreimer Two-sided $SLE_{8/3}$ and the infinite self-avoiding polygon by G. F. Lawler and J. R. Lind Using the renormalization gorup by D. G. C. McKeon Short distance behavior of scaling functions for the planar ising model by J. Palmer Constructing conformal field theory models by I. Todorov The art of computing loop integrals by S. Weinzierl The transition temperature of the weakly interacting Bose gas by J. Zinn-Justin.

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