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Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Laurent Lellouch, Rainer Sommer, Benjamin Svetitsky, Anastassios Vladikas, and Leticia F. Cugliandolo (eds)

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The book is based on the lectures delivered at the XCIII Session of the ´Ecole de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of Ph.D. ... More


INDEX THEOREM ON THE LATTICE AND CHIRAL ANOMALIES

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Recent progress in the treatment of Dirac fields in lattice gauge theory has allowed the chiral symmetry and associated anomaly on the lattice to be discussed in a manner similar to that in continuum ... More


Lattice field theory fundamentals

M. Pilar HernÁndez

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter reviews the basic building blocks of the regularization of Quantum Field Theories (QFT) on a space-time lattice. It assumes some familiarity with QFT in the continuum. In an introductory ... More


Chiral symmetry and lattice fermions

David B. Kaplan

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses chiral symmetry in quantum field theories with fermions, and how to represent the fermions in lattice regularizations so as to preserve the symmetry to the fullest extent ... More


Lattice gauge theory beyond the Standard Model

Thomas Appelquist and Ethan T. Neil

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0012
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter gives an overview of methods and recent studies in the application of lattice gauge theory to physics beyond the standard model. It focuses on theories in which electroweak symmetry is ... More


A lattice theory approach to the structure of mental models

N. Moray

in Human Factors in Hazardous Situations: Proceedings of a Royal Society Discussion Meeting held on 28 and 29 June 1989

Published in print:
1990
Published Online:
March 2012
ISBN:
9780198521914
eISBN:
9780191688454
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198521914.003.0013
Subject:
Psychology, Human-Technology Interaction

Lattice theory is proposed to provide a formalism for the knowledge base used as a mental model by the operator of a complex system. The ordering relation ‘≥’ is interpreted as ‘is caused by’, and ... More


Kosterlitz—Thouless transition

Hidetoshi Nishimori and Gerardo Ortiz

in Elements of Phase Transitions and Critical Phenomena

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199577224
eISBN:
9780191722943
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199577224.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

As the spatial dimensionality $d$ decreases, fluctuations become larger and the stability of the low-temperature ordered state deteriorates. The dimensionality where long-range order disappears is ... More


Scales IV: Long-distance structure of quantum field theory

Anthony Duncan

in The Conceptual Framework of Quantum Field Theory

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199573264
eISBN:
9780191743313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573264.003.0019
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter focuses on aspects of the long-distance behaviour of field theory. In a theory with only massive fields, this behaviour is essentially trivial: clustering is exponentially rapid, with ... More


Interpreting Extraordinary QM

Laura Ruetsche

in Interpreting Quantum Theories

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199535408
eISBN:
9780191728525
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199535408.003.0008
Subject:
Philosophy, Philosophy of Science

This chapter argues that, due to the circumstances described in Chapter 7, techniques developed for interpreting ordinary QM lack straightforward extension to the interpretation of QM∞. These ... More


Lattice gauge theories: Introduction

Jean Zinn-Justin

in Quantum Field Theory and Critical Phenomena: Fifth Edition

Published in print:
2021
Published Online:
June 2021
ISBN:
9780198834625
eISBN:
9780191872723
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198834625.003.0025
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Lattice gauge theories are based on the notion of parallel transport. They can be considered as non-perturbative regularizations of the continuum gauge theories in the sense of a low-temperature ... More


Practical Quantum Mechanics: Modern Tools and Applications

Efstratios Manousakis

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

The book contains lectures notes for a graduate two-semester course in quantum mechanics. It differs from other quantum mechanics textbooks as various parts of the book are inspired by rather recent ... More


Gauge Interactions

J. Iliopoulos and T.N. Tomaras

in Elementary Particle Physics: The Standard Theory

Published in print:
2021
Published Online:
December 2021
ISBN:
9780192844200
eISBN:
9780191926983
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192844200.003.0013
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The principle of gauge symmetry is introduced as a consequence of the invariance of the equations of motion under local transformations. We apply it to Abelian, as well as non-Abelian, internal ... More


Lattices of theories

Olivia Caramello

in Theories, Sites, Toposes: Relating and studying mathematical theories through topos-theoretic 'bridges'

Published in print:
2017
Published Online:
March 2018
ISBN:
9780198758914
eISBN:
9780191818752
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198758914.003.0006
Subject:
Mathematics, Geometry / Topology, Pure Mathematics

In this chapter, by using the duality theorem established in Chapter 3, many ideas and concepts of elementary topos theory are transferred into the context of geometric logic; these notions notably ... More


The essential role of functional integrals in modern physics

Jean Zinn-Justin

in From Random Walks to Random Matrices

Published in print:
2019
Published Online:
August 2019
ISBN:
9780198787754
eISBN:
9780191829840
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198787754.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 3 illustrates by a number of examples the essential role of functional integrals in physics. For example, the path integral representation of quantum mechanics explains why many basic ... More


The Strong Interactions

J. Iliopoulos and T.N. Tomaras

in Elementary Particle Physics: The Standard Theory

Published in print:
2021
Published Online:
December 2021
ISBN:
9780192844200
eISBN:
9780191926983
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192844200.003.0021
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

For many years strong interactions had a well-deserved reputation for complexity. Their apparent strength rendered perturbation theory inapplicable. However, in the late 1960s a series of experiments ... More


Relational Blockworld Approach to Unification and Quantum Gravity

Michael Silberstein, W.M. Stuckey, and Timothy McDevitt

in Beyond the Dynamical Universe: Unifying Block Universe Physics and Time as Experienced

Published in print:
2018
Published Online:
March 2018
ISBN:
9780198807087
eISBN:
9780191844850
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198807087.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics, History of Physics

The main thread of chapter 6 prompts the need for quantum gravity (QG) and introduces the RBW approach to QG, unification in particle physics, dark matter, and dark energy. The details of RBW’s ... More


The Dynamical Theory of Liquid Crystals

Antony N. Beris and Brian J. Edwards

in Thermodynamics of Flowing Systems: with Internal Microstructure

Published in print:
1994
Published Online:
November 2020
ISBN:
9780195076943
eISBN:
9780197560341
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195076943.003.0016
Subject:
Chemistry, Thermochemistry and Chemical Thermodynamics

Liquid crystals (LCs) present a state of matter with properties—as the name suggests—intermediate between those of liquids and crystalline solids. Liquid-crystalline materials, as all liquids, ... More


The Point of Constructivity

Jan von Plato

in The Great Formal Machinery Works: Theories of Deduction and Computation at the Origins of the Digital Age

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174174
eISBN:
9781400885039
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174174.003.0007
Subject:
History, History of Science, Technology, and Medicine

This chapter argues that the best-known statement of finitism is ascribed to Leopold Kronecker (1823–1891). The source of the statement is not Kronecker himself, at least not directly, but rather his ... More


The Existence of Field Theories beyond the Perturbation Expansion

Laurent Baulieu, John Iliopoulos, and Roland Sénéor

in From Classical to Quantum Fields

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198788393
eISBN:
9780191830310
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788393.003.0024
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The standard model of fundamental interactions. A brief summary of the phenomenology of weak interactions. The construction of the electroweak theory and its experimental consequences. The deep ... More


Introduction

C. G. Gray and K. E. Gubbins

in

Published in print:
1984
Published Online:
November 2020
ISBN:
9780198556022
eISBN:
9780191919251
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198556022.003.0007
Subject:
Chemistry, Theoretical Chemistry

The application of statistical mechanics to the study of fluids over the past fifty years † or so has progressed through a series of problems of gradually increasing difficulty. The first and most ... More


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