Lattice Hadron Physics (Lecture Notes in Physics, 663)

✍ Scribed by Alex Kalloniatis (editor), Derek Leinweber (editor), Anthomy Williams (editor)

• Publisher: Springer
• Year: 2005
• Tongue: English
• Leaves: 235
• Edition: 2005
• Category: Library

✦ Synopsis

Lattice Hadron Physics draws upon the developments made in recent years in implementing chirality on the lattice via the overlap formalism. These developments exploit chiral effective field theory in order to extrapolate lattice results to physical quark masses, new forms of improving operators to remove lattice artefacts, analytical studies of finite-volume effects in hadronic observables, and state-of-the-art lattice calculations of excited resonances. This volume, comprised of selected lectures, is designed to assist those outside the field who want quickly to become literate in these topics. As such, it provides graduate students and experienced researchers in other areas of hadronic physics with the background through which they can appreciate, if not become active in, contemporary lattice-gauge theory and its applications to hadronic phenomena.

✦ Table of Contents

front-matter
Chapter 1
Quenching Effects in the Hadron Spectrum
C. Allton
1 The Quenched Approximation
2 Results from the Quenched Approximation
3 Results from Full (Unquenched) Simulations
4 Quantifying Quenching Effects
5 Conclusions
References
Chapter 2
Quark Propagator from LQCD and Its Physical Implications
P.O. Bowman, U.M. Heller, D.B. Leinweber, A.G. Williams,and J.B. Zhang
1 Introduction
2 Euclidean Green's Functions
3 Gauge Fixing
4 Staggered Quark Actions
5 The Lattice Quark Propagator
6 Analysis of Lattice Artefactsfor Staggered Quarks
7 Overlap Quark Actions
8 Analysis of Lattice Artefacts for Overlap Quarks
9 The Quark Propagator in Landau Gauge
10 Laplacian Gauge
11 Applications: The Condensate and Running Mass
12 Modelling the Mass Function
13 Conclusions
References
Chapter 3
Generalised Spin Projection for Fermion Actions
W. Kamleh
1 Introduction
2 Standard Spin-Projection Trick
3 Generalised Spin-Projection Trick
4 The FLIC Fermion Action
5 Conclusion
References
Chapter 4
Baryon Spectroscopy in Lattice QCD
D.B. Leinweber, W. Melnitchouk, D.G. Richards, A.G. Williams,and J.M. Zanotti
1 Introduction and Motivation
2 History of Lattice N* Calculations
3 Lattice Techniques
4 Interpolating Fields
5 Operators for Spin-12 and Spin-32 Baryons
6 Survey of Results
7 Conclusions
A Appendix - Correlation Matrix Analysis
References
Chapter 5
Hadron Structure and QCD: Effective Field Theory for Lattice Simulations
D.B. Leinweber, A.W. Thomas, and R.D. Young
1 Introduction
2 Effective Field Theory for QCD
3 Chiral Expansion of the Nucleon Mass
4 Other Applications
5 Conclusion
References
Chapter 6
Lattice Chiral Fermions from Continuum Defects
H. Neuberger
1 Introduction
2 Infinite Flavor Space
3 Two Dimensional Flavor Space
4 Compactifications
5 Generalization of the Overlap
6 What Next?
References
Chapter 7
The Computation of the and ' Mesonsin Lattice QCD
K. Schilling, H. Neff, and T. Lippert
1 Introduction
2 Prolegomena: Pseudoscalars in LQCD
3 The Real World with n s Mixing
4 The Three Computational Bottlenecks
5 Towards Realistic Physics Results
6 Conclusion
References
Chapter 8
Strong and Weak Interactions in a Finite Volume
M. Testa
1 Introduction
2 Summation Theorems
3 The Lüscher Quantization Condition
4 Matrix Elements of Scalar Operators
5 The Nature of the LL Relation
6 Summation Theorems, Locality and the LL Formula
7 Conclusions
References
Chapter 9
Hadron Properties with FLIC Fermions
J.M. Zanotti, D.B. Leinweber, W. Melnitchouk, A.G. Williams,and J.B. Zhang
1 Introduction
2 The Lattice Quark Action
3 Fat-Link Irrelevant Fermion Action
4 Lattice Simulations
5 Scaling of FLIC Fermions
6 Search for Exceptional Configurations
7 Octet-Decuplet Mass Splittings
8 Summary
References
back-matter