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Trends in Mathematical Physics
 
Edited by: Vasilios Alexiades University of Tennessee, Knoxville, TN
George Siopsis University of Tennessee, Knoxville, TN
A co-publication of the AMS and International Press of Boston
Trends in Mathematical Physics
Softcover ISBN:  978-0-8218-2006-3
Product Code:  AMSIP/13
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
eBook ISBN:  978-1-4704-3804-3
Product Code:  AMSIP/13.E
List Price: $83.00
MAA Member Price: $74.70
AMS Member Price: $66.40
Softcover ISBN:  978-0-8218-2006-3
eBook: ISBN:  978-1-4704-3804-3
Product Code:  AMSIP/13.B
List Price: $172.00 $130.50
MAA Member Price: $154.80 $117.45
AMS Member Price: $137.60 $104.40
Trends in Mathematical Physics
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Trends in Mathematical Physics
Edited by: Vasilios Alexiades University of Tennessee, Knoxville, TN
George Siopsis University of Tennessee, Knoxville, TN
A co-publication of the AMS and International Press of Boston
Softcover ISBN:  978-0-8218-2006-3
Product Code:  AMSIP/13
List Price: $89.00
MAA Member Price: $80.10
AMS Member Price: $71.20
eBook ISBN:  978-1-4704-3804-3
Product Code:  AMSIP/13.E
List Price: $83.00
MAA Member Price: $74.70
AMS Member Price: $66.40
Softcover ISBN:  978-0-8218-2006-3
eBook ISBN:  978-1-4704-3804-3
Product Code:  AMSIP/13.B
List Price: $172.00 $130.50
MAA Member Price: $154.80 $117.45
AMS Member Price: $137.60 $104.40
  • Book Details
     
     
    AMS/IP Studies in Advanced Mathematics
    Volume: 131999; 528 pp
    MSC: Primary 81; 83

    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
     
     
    • Chapters
    • Berry’s connection in a quantum relativistic description of the curved space analogue of development
    • Heat-kernel asymptotics of the Gilkey-Smith boundary-value problem
    • On ellipticity and gauge invariance in Euclidean quantum gravity
    • Undercompressive waves in driven thin film flow: Theory, computation, and experiment
    • Internal time peculiarities as a cause of bifurcations arising in classical trajectory problem and quantum chaos creation in three-body systems
    • Random motion of quantum harmonic oscillator-Thermodynamics of nonrelativistic vacuum
    • A new formulation of Lax pairs for generalized Calogero-Moser models
    • Four-point correlation functions in the AdS/CFT correspondence
    • Gravitational instantons and moduli spaces
    • Superdualities and twisted self-duality
    • Boomerons in field theory
    • A layman’s guide to $M$-theory
    • Family symmetry, the anomalous $U(1)$, and neutrino mixing
    • Stochastic quantization approach to $c \leq 1$ open-closed string field theories
    • Gauge invariance and effective actions at finite temperature
    • Superconformal deformations and space-time symmetries
    • Nonlinear patterns in microstructures
    • Non-thermalizability of a quantum field theory
    • Field theory for chemical spaces
    • From functions to matrices
    • Duality and construction of quantum integrable systems
    • Geometric concepts for the mass in general relativity
    • Crystallographic topology 2: Overview and work in progress
    • Gravitationally dressed RG flows, zigzag symmetry and zero-tension strings
    • Einstein metrics and the Yamabe problem
    • Numerical evolution in time of curvature perturbations in Kerr black holes
    • Nonlinearity and self-similarity: Wavelets and compactons on a physical background
    • On analytic approach to perturbative quantum chromodynamics
    • Lattice gauge theory
    • Integrable models with boundary
    • Mathematical aspects of chiral gauge theories on the lattice
    • The statistical entropy of black holes and the $AdS_3$ geometry
    • Canonical treatment of regular Lagrangians with holonomic constraints as singular systems
    • Algebraic shape invariant models
    • Molecular configurations and Euclidean distance matrices
    • Derivative expansion of the one-loop effective action in QED
    • Nonlinear generalizations of a 3-manifold’s Dirac operator
    • Dynamical symmetry approach to quantum many-body problems
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 131999; 528 pp
MSC: Primary 81; 83

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.

  • Chapters
  • Berry’s connection in a quantum relativistic description of the curved space analogue of development
  • Heat-kernel asymptotics of the Gilkey-Smith boundary-value problem
  • On ellipticity and gauge invariance in Euclidean quantum gravity
  • Undercompressive waves in driven thin film flow: Theory, computation, and experiment
  • Internal time peculiarities as a cause of bifurcations arising in classical trajectory problem and quantum chaos creation in three-body systems
  • Random motion of quantum harmonic oscillator-Thermodynamics of nonrelativistic vacuum
  • A new formulation of Lax pairs for generalized Calogero-Moser models
  • Four-point correlation functions in the AdS/CFT correspondence
  • Gravitational instantons and moduli spaces
  • Superdualities and twisted self-duality
  • Boomerons in field theory
  • A layman’s guide to $M$-theory
  • Family symmetry, the anomalous $U(1)$, and neutrino mixing
  • Stochastic quantization approach to $c \leq 1$ open-closed string field theories
  • Gauge invariance and effective actions at finite temperature
  • Superconformal deformations and space-time symmetries
  • Nonlinear patterns in microstructures
  • Non-thermalizability of a quantum field theory
  • Field theory for chemical spaces
  • From functions to matrices
  • Duality and construction of quantum integrable systems
  • Geometric concepts for the mass in general relativity
  • Crystallographic topology 2: Overview and work in progress
  • Gravitationally dressed RG flows, zigzag symmetry and zero-tension strings
  • Einstein metrics and the Yamabe problem
  • Numerical evolution in time of curvature perturbations in Kerr black holes
  • Nonlinearity and self-similarity: Wavelets and compactons on a physical background
  • On analytic approach to perturbative quantum chromodynamics
  • Lattice gauge theory
  • Integrable models with boundary
  • Mathematical aspects of chiral gauge theories on the lattice
  • The statistical entropy of black holes and the $AdS_3$ geometry
  • Canonical treatment of regular Lagrangians with holonomic constraints as singular systems
  • Algebraic shape invariant models
  • Molecular configurations and Euclidean distance matrices
  • Derivative expansion of the one-loop effective action in QED
  • Nonlinear generalizations of a 3-manifold’s Dirac operator
  • Dynamical symmetry approach to quantum many-body problems
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.