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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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