**AMS/IP Studies in Advanced Mathematics**

Volume: 13;
1999;
528 pp;
Softcover

MSC: Primary 81; 83;

Print ISBN: 978-0-8218-2006-3

Product Code: AMSIP/13

List Price: $79.00

AMS Member Price: $63.20

MAA Member Price: $71.10

**Electronic ISBN: 978-1-4704-3804-3
Product Code: AMSIP/13.E**

List Price: $79.00

AMS Member Price: $63.20

MAA Member Price: $71.10

# Trends in Mathematical Physics

Share this page *Edited by *
*Vasilios Alexiades; George Siopsis*

A co-publication of the AMS and International Press of Boston

This volume presents the proceedings of the conference on “Trends in Mathematical Physics” held at the University of Tennessee. The conference drew international experts from mathematical and computational physics. The following topics were addressed: superstrings and quantum gravity, pattern formation, and crystallographic topology. The cutting-edge research reflected in the extensive surveys in the book are written for a diverse audience.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

#### Readership

Graduate students, research mathematicians, and physicists interested in quantum theory.

# Table of Contents

## Trends in Mathematical Physics

- Cover Cover11
- Title page v6
- Contents vii8
- Preface xi12
- Berry’s connection in a quantum relativistic description of the curved space analogue of development 114
- Heat-kernel asymptotics of the Gilkey-Smith boundary-value problem 1528
- On ellipticity and gauge invariance in Euclidean quantum gravity 3548
- Undercompressive waves in driven thin film flow: Theory, computation, and experiment 4356
- Internal time peculiarities as a cause of bifurcations arising in classical trajectory problem and quantum chaos creation in three-body systems 6982
- Random motion of quantum harmonic oscillator-Thermodynamics of nonrelativistic vacuum 8194
- A new formulation of Lax pairs for generalized Calogero-Moser models 113126
- Four-point correlation functions in the AdS/CFT correspondence 121134
- Gravitational instantons and moduli spaces 137150
- Superdualities and twisted self-duality 145158
- Boomerons in field theory 193206
- A layman’s guide to 𝑀-theory 203216
- Family symmetry, the anomalous 𝑈(1), and neutrino mixing 225238
- Stochastic quantization approach to 𝑐≤1 open-closed string field theories 227240
- Gauge invariance and effective actions at finite temperature 235248
- Superconformal deformations and space-time symmetries 261274
- Nonlinear patterns in microstructures 267280
- Non-thermalizability of a quantum field theory 269282
- Field theory for chemical spaces 279292
- From functions to matrices 285298
- Duality and construction of quantum integrable systems 289302
- Geometric concepts for the mass in general relativity 299312
- Crystallographic topology 2: Overview and work in progress 307320
- Gravitationally dressed RG flows, zigzag symmetry and zero-tension strings 345358
- Einstein metrics and the Yamabe problem 353366
- Numerical evolution in time of curvature perturbations in Kerr black holes 377390
- Nonlinearity and self-similarity: Wavelets and compactons on a physical background 387400
- On analytic approach to perturbative quantum chromodynamics 399412
- Lattice gauge theory 407420
- Integrable models with boundary 409422
- Mathematical aspects of chiral gauge theories on the lattice 419432
- The statistical entropy of black holes and the 𝐴𝑑𝑆₃ geometry 429442
- Canonical treatment of regular Lagrangians with holonomic constraints as singular systems 441454
- Algebraic shape invariant models 449462
- Molecular configurations and Euclidean distance matrices 459472
- Derivative expansion of the one-loop effective action in QED 467480
- Nonlinear generalizations of a 3-manifold’s Dirac operator 475488
- Dynamical symmetry approach to quantum many-body problems 487500
- Contributors 525538
- Back Cover Back Cover1542