Emergence of Temperature in Examples and Related Nuisances in Field Theory

Emergence of Temperature in Examples and Related Nuisances in Field Theory
Author: Tamás Sándor Biró
Publisher: Springer
Total Pages: 118
Release: 2019-02-07
Genre: Science
ISBN: 3030116891

Field theory, relying on the concept of continuous space and time while confronted with the quantum physical nature of observable quantities, still has some fundamental challenges to face. One such challenge is to understand the emergence of complexity in the behavior of interacting elementary fields, including among other things nontrivial phase structures of elementary matter at high energy density or an atypical emergence of statistical properties, e.g., when an apparent temperature is proportional to a constant acceleration in a homogeneous gravitational field. Most modern textbooks on thermal field theory are mainly concerned with how the field theory formalism should be used if a finite temperature is given. In contrast, this short primer explores how the phenomenon of temperature emerges physically for elementary fields - inquiring about the underlying kinetic field theory and the way energy fluctuations and other noise should be handled - and it investigates whether and how this harmonizes with traditional field theory concepts like spectral evolution, the Keldysh formalism, and phase transitions.

Emergence of Temperature in Examples and Related Nuisances in Field Theory

Emergence of Temperature in Examples and Related Nuisances in Field Theory
Author: Tamás Sándor Biró
Publisher:
Total Pages: 109
Release: 2019
Genre: Nuclear physics
ISBN: 9783030116903

Field theory, relying on the concept of continuous space and time while confronted with the quantum physical nature of observable quantities, still has some fundamental challenges to face. One such challenge is to understand the emergence of complexity in the behavior of interacting elementary fields, including among other things nontrivial phase structures of elementary matter at high energy density or an atypical emergence of statistical properties, e.g., when an apparent temperature is proportional to a constant acceleration in a homogeneous gravitational field. Most modern textbooks on thermal field theory are mainly concerned with how the field theory formalism should be used if a finite temperature is given. In contrast, this short primer explores how the phenomenon of temperature emerges physically for elementary fields - inquiring about the underlying kinetic field theory and the way energy fluctuations and other noise should be handled - and it investigates whether and how this harmonizes with traditional field theory concepts like spectral evolution, the Keldysh formalism, and phase transitions.

Recent Progress In Statistical Mechanics And Quantum Field Theory

Recent Progress In Statistical Mechanics And Quantum Field Theory
Author: H Saleur
Publisher: World Scientific
Total Pages: 346
Release: 1995-08-31
Genre: Science
ISBN: 9814549991

The following topics were covered: the study of renormalization group flows between field theories using the methods of quantum integrability, S-matrix theory and the thermodynamic Bethe Ansatz; impurity problems approached both from the point of view of conformal field theory and quantum integrability. This includes the Kondo effect and quantum wires; solvable models with 1/r² interactions (Haldane-Shastri models). Yangian symmetries in 1/r² models and in conformal field theories; correlation functions in integrable 1+1 field theories; integrability in three dimensions; conformal invariance and the quantum hall effect; supersymmetry in statistical mechanics; and relations to two-dimensional Yang-Mills and QCD.

Energy Research Abstracts

Energy Research Abstracts
Author:
Publisher:
Total Pages: 562
Release: 1986
Genre: Power resources
ISBN:

Semiannual, with semiannual and annual indexes. References to all scientific and technical literature coming from DOE, its laboratories, energy centers, and contractors. Includes all works deriving from DOE, other related government-sponsored information, and foreign nonnuclear information. Arranged under 39 categories, e.g., Biomedical sciences, basic studies; Biomedical sciences, applied studies; Health and safety; and Fusion energy. Entry gives bibliographical information and abstract. Corporate, author, subject, report number indexes.

Introduction to Effective Field Theory

Introduction to Effective Field Theory
Author: C. P. Burgess
Publisher: Cambridge University Press
Total Pages: 665
Release: 2020-12-10
Genre: Science
ISBN: 0521195470

This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.

Introduction to Conformal Invariance and Its Applications to Critical Phenomena

Introduction to Conformal Invariance and Its Applications to Critical Phenomena
Author: Philippe Christe
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2008-09-11
Genre: Science
ISBN: 3540475753

The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31°C and 73 atmospheres pressure. In the neighborhood ofthis point the carbon dioxide was observed to become opalescent, that is, light is strongly scattered. This is nowadays interpreted as comingfrom the strong fluctuations of the system close to the critical point. Subsequently, a wide varietyofphysicalsystems were realized to display critical points as well. Ofparticular importance was the observation of a critical point in ferromagnetic iron by Curie. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and may even extend to the quark-gluon plasmaand the early universe as a whole. Early theoretical investigationstried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations and culminating in Landau's general theory of critical phenomena. In a dramatic development, Onsager's exact solutionofthe two-dimensional Ising model made clear the important role of the critical fluctuations. Their role was taken into account in the subsequent developments leading to the scaling theories of critical phenomena and the renormalization group. These developements have achieved a precise description of the close neighborhood of the critical point and results are often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is today emphasized.

Digest

Digest
Author:
Publisher:
Total Pages: 814
Release: 1989
Genre: Earth sciences
ISBN:

Bayesian Methods in Structural Bioinformatics

Bayesian Methods in Structural Bioinformatics
Author: Thomas Hamelryck
Publisher: Springer
Total Pages: 399
Release: 2012-03-23
Genre: Medical
ISBN: 3642272258

This book is an edited volume, the goal of which is to provide an overview of the current state-of-the-art in statistical methods applied to problems in structural bioinformatics (and in particular protein structure prediction, simulation, experimental structure determination and analysis). It focuses on statistical methods that have a clear interpretation in the framework of statistical physics, rather than ad hoc, black box methods based on neural networks or support vector machines. In addition, the emphasis is on methods that deal with biomolecular structure in atomic detail. The book is highly accessible, and only assumes background knowledge on protein structure, with a minimum of mathematical knowledge. Therefore, the book includes introductory chapters that contain a solid introduction to key topics such as Bayesian statistics and concepts in machine learning and statistical physics.